cometadata/datacite-rtg-text-other-reclassification-records huggingface dataset:
Hexelasma velutinum Hoek 1913
Creators: name: Chan, Benny K. K.
name: Prabowo, Romanus Edy
name: Lee, Kwen-Shen
Publisher: name: Zenodo
Year: 2010
Subjects: Biodiversity
Taxonomy
Animalia
Arthropoda
Maxillopoda
Sessilia
Bathylasmatidae
Hexelasma
Hexelasma velutinum

description: Hexelasma velutinum Hoek, 1913
Figures 2 I, 29, 30
Hexelasma velutinum Hoek, 1913: 246, pl. 26 figs 1–6. — Broch, 1931: 53. — Hiro, 1933: 70, pl. 3 fig. 2. — Utinomi, 1968: 30. — Newman & Ross, 1971:155. — Newman & Ross, 1976: 46. — Jones, 2000: 273, fig. 64, tabs 28–31. — Liu & Ren, 2007: 328, fig. 146.
Material examined. CEL-BB-102, 1 specimen, Stn. CP371 (24º28.521’N, 122º12.821’E, 26 Aug. 2006, depth: 582–613 m), BD 13.88 mm.
Diagnosis. Shell with 6 compartmental plates; carina, carinolateral and lateral plates with alae, radii absent; rostrum with radii and alae absent; parietes solid, longitudinal ribs on inner surface absent; basis membranous; intermediate segments of cirri IV–VI bearing 2 pairs of long setae.
Description. Shell white, conical or cylindrical, operculum large; shell surface with parallel growth lines, covered by membrane with fine, short setae (Fig. 2 I); 6 compartmental plates; carina, carinolateral and lateral plates with alae, radii absent; rostrum with radii and alae absent (Fig. 2 I); parietes solid, longitudinal ribs on inner surface absent; basis membranous; scutum triangular, occludent margin straight, with large teeth, tergal margin straight; tergum narrow, scutal margin long, straight, basiscutal angle oblique, spur pronounced. Maxilla subtriangular (Fig. 29 A), inferior and superior margins setose; maxillule with cutting edge notched, 2 long, cuspidate setae above notch, 3 fine short setae in notch, 12 fine setae below notch (Fig. 29 B); mandible with 4 teeth, first separated from remainder (Figs 29 C, G), lower margin smooth (Fig. 29 E), inferior angle sharp (Fig. 29 E); mandibular palp rectangular, apex blunt, dense setae on superior margin and distally (Fig. 29 D); labrum concave, deep notch absent, cutting edge with fine bidentate and tridentate teeth (Fig. 29 H). Cirrus I with rami unequal, outer ramus shorter, 11 segmented, inner ramus longer 11-segmented (Fig. 30 A); cirrus II with rami subequal, outer ramus 14-segmented, inner ramus 13-segmented (Fig. 30 B); cirrus III with rami subequal, outer ramus 37-segmented, inner ramus 43-segmented (Fig. 30 C); intermediate segments of cirri IV–VI with 2 pairs of long setae (Fig. 30 D).
Distribution. South China Sea, Japan, Taiwan and the Philippines.
Remarks. This is a new record for Taiwanese waters.
description: Published as part of Chan, Benny K. K., Prabowo, Romanus Edy & Lee, Kwen-Shen, 2010, North West Pacific deep-sea barnacles (Cirripedia, Thoracica) collected by the TAIWAN expeditions, with descriptions of two new species, pp. 1-47 in Zootaxa 2405 on page 41, DOI: 10.5281/zenodo.194179
Chlamydopteryx Kirkaldy
Creators: name: Gnezdilov, Vladimir M.
name: Fletcher, Murray J.
Publisher: name: Zenodo
Year: 2010
Subjects: Biodiversity
Taxonomy
Animalia
Arthropoda
Insecta
Hemiptera
Issidae
Chlamydopteryx

description: Genus Chlamydopteryx Kirkaldy
Chlamydopteryx Kirkaldy 1907: 103. Type species: Issus vulturnus Kirkaldy, 1906.
Phaeopteryx Kirkaldy 1907: 104 (Type species: Issus sidnicus Kirkaldy 1906), syn. n.
Diagnosis. Metope wide, with median and sublateral keels (when present) joined before its upper margin. Metopoclypeal suture convex. Coryphe transverse. Ocelli absent. Pronotum slightly shorter than mesonotum, with tubercules laterally, without keels, paradiscal fields very thin. Fore wings wide, without hypocostal plate, with long clavus. Radius and cubitus anterior bifurcate, median bi- or trifurcate (R 2 M 2-3 CuA 2). Hind wings rudimentary or well developed, trilobed, radius bifurcate, median, cubitus posterior, postcubitus, first and second anal veins simple, cubitus anterior bi- or trifurcate; between second branch of radius and median and between median and first branch of cubitus anterior – single transverse vein (R 2 r-m M 1 m-cu CuA 2-3 CuP 1 Pcu 1 A1 1 A2 1). Second (or third) branch of cubitus anterior and cubitus posterior fused and thickened (Figure 19). Hind tibia with two lateral spines. First metatarsomere with 7–8 spines apically.
Each dorso-lateral phallobase lobe with subapical process. Aedeagus with pair of ventral hooks. Each apical aedeagal process with apical projection. Female sternum VII retracted medially. Gonoplacs triangularly elongate. Female anal tube long and narrow.
Note. Type species of both genera were examined and both match the features given above defining the genus Chlamydopteryx.
description: Published as part of Gnezdilov, Vladimir M. & Fletcher, Murray J., 2010, A review of the Australian genera of the planthopper family Issidae (Hemiptera: Fulgoromorpha) with description of an unusual new species of Chlamydopteryx Kirkaldy, pp. 35-45 in Zootaxa 2366 on page 36, DOI: 10.5281/zenodo.275776
Chlamydopteryx bimaculifrons Jacobi, comb. n.
Creators: name: Gnezdilov, Vladimir M.
name: Fletcher, Murray J.
Publisher: name: Zenodo
Year: 2010
Subjects: Biodiversity
Taxonomy
Animalia
Arthropoda
Insecta
Hemiptera
Issidae
Chlamydopteryx
Chlamydopteryx bimaculifrons

description: Chlamydopteryx bimaculifrons (Jacobi), comb. n.
Orinda bimaculifrons Jacobi 1928: 9.
Type material. Syntypes 6 (sexes unknown): Herberton, Cape York Peninsula, Qld. August. (NHRS). Distribution. Queensland.
Note. Photographs of a syntype of O. bimaculifrons deposited in NHRS were examined to determine the identity of the species and it is here transferred to Chlamydopteryx Kirkaldy. The species has the hind wings reduced to short oval discs. Jacobi (1928) described material collected during 1910-1913 but his original description gives only an indication of the month, not year, of collection.
description: Published as part of Gnezdilov, Vladimir M. & Fletcher, Murray J., 2010, A review of the Australian genera of the planthopper family Issidae (Hemiptera: Fulgoromorpha) with description of an unusual new species of Chlamydopteryx Kirkaldy, pp. 35-45 in Zootaxa 2366 on page 38, DOI: 10.5281/zenodo.275776
Chlamydopteryx sidnicus Kirkaldy, comb. n.
Creators: name: Gnezdilov, Vladimir M.
name: Fletcher, Murray J.
Publisher: name: Zenodo
Year: 2010
Subjects: Biodiversity
Taxonomy
Animalia
Arthropoda
Insecta
Hemiptera
Issidae
Chlamydopteryx
Chlamydopteryx sidnicus

description: Chlamydopteryx sidnicus (Kirkaldy), comb. n.
(Figs 4–5, 19)
Issus sidnicus Kirkaldy 1906: 437.
Phaeopteryx sidnicus (Kirkaldy), Kirkaldy 1907: 104.
Type material examined. 1 female syntype, “Sydney, N.S.W. / Austr. i.1905 ” “coll. Koebele” “ Issus / sidnicus / Kirk. / Ƥ 296. / holotype ” (BPBM).
Other material examined. Australia, NSW: 2 males, 1 female, Dorrigo (SAM).
Distribution. New South Wales.
Note. In his original description, Kirkaldy (1906) provides a note that the colour and shape of the male “pygofers” are “similar to the previous” (ie Issus vulturnus). This indicates that he examined at least one male. The specimen labelled as “ holotype ” has not been validated as such by publication and is here regarded as a syntype. If a male specimen can be found in BPBM matching the original collection details, then it is available to be designated as lectotype.
description: Published as part of Gnezdilov, Vladimir M. & Fletcher, Murray J., 2010, A review of the Australian genera of the planthopper family Issidae (Hemiptera: Fulgoromorpha) with description of an unusual new species of Chlamydopteryx Kirkaldy, pp. 35-45 in Zootaxa 2366 on page 38, DOI: 10.5281/zenodo.275776
Chlamydopteryx ridicularis Kirkaldy
Creators: name: Gnezdilov, Vladimir M.
name: Fletcher, Murray J.
Publisher: name: Zenodo
Year: 2010
Subjects: Biodiversity
Taxonomy
Animalia
Arthropoda
Insecta
Hemiptera
Issidae
Chlamydopteryx
Chlamydopteryx ridicularis

description: Chlamydopteryx ridicularis (Kirkaldy)
(Fig. 6)
Issus ridicularis Kirkaldy 1906: 438.
Chlamydopteryx ridicularis (Kirkaldy), Kirkaldy 1907: 103.
Type material examined. Holotype male (by original designation) “Bundaberg, Q. / Austr. xi.1904.” “ Chlamydopteryx / ridicularis / Kirk. / ♂ 297. / Holotype ” (BPBM).
Other material examined. Australia, Queensland: 1 male, Bundaberg, A.M. Lea (SAM). Distribution. North Queensland.
Note. With his original description, Kirkaldy (1906) gives both “Cairns vii.1904 ” and “Bundaberg ixxii.1904” as the source of his type material but notes that “The Bundaberg specimen is the type ” indicating that there was only a single specimen from Bundaberg which he intended to be the type of the species. The male examined here is therefore recognised as a holotype by original designation.
description: Published as part of Gnezdilov, Vladimir M. & Fletcher, Murray J., 2010, A review of the Australian genera of the planthopper family Issidae (Hemiptera: Fulgoromorpha) with description of an unusual new species of Chlamydopteryx Kirkaldy, pp. 35-45 in Zootaxa 2366 on pages 38-39, DOI: 10.5281/zenodo.275776
Chlamydopteryx vulturnus Kirkaldy
Creators: name: Gnezdilov, Vladimir M.
name: Fletcher, Murray J.
Publisher: name: Zenodo
Year: 2010
Subjects: Biodiversity
Taxonomy
Animalia
Arthropoda
Insecta
Hemiptera
Issidae
Chlamydopteryx
Chlamydopteryx vulturnus

description: Chlamydopteryx vulturnus (Kirkaldy)
(Fig. 7)
Issus vulturnus Kirkaldy 1906: 437.
Chlamydopteryx vulturnus (Kirkaldy), Kirkaldy 1907: 103.
Type material examined. 1 female syntype “Brisbane, Q. / Austr. 6.1904” “ Chlamydopteryx / vulturnus / Kirk. / Ƥ 295. / holotype ” (BPBM).
Other material examined. Australia, Queensland: Brisbane: 1 female, Brimblecombe, 5.iv. [19]47 (UQIC, Reg. # 43751); 2 males, 12-20.IV. [19]60, J. Martin (UQIC, Reg. # 43700, 43701).
Distribution. Queensland.
Note. In his original description, Kirkaldy (1906) provides a note on the colour and shape of the male “pygofers”. This indicates that he examined at least one male. The specimen labelled as “ holotype ” has not been validated as such by publication and is here regarded as a syntype. If a male specimen can be found in BPBM matching the original collection details, then it is available to be designated as lectotype.
description: Published as part of Gnezdilov, Vladimir M. & Fletcher, Murray J., 2010, A review of the Australian genera of the planthopper family Issidae (Hemiptera: Fulgoromorpha) with description of an unusual new species of Chlamydopteryx Kirkaldy, pp. 35-45 in Zootaxa 2366 on page 39, DOI: 10.5281/zenodo.275776
Apsadaropteryx Kirkaldy
Creators: name: Gnezdilov, Vladimir M.
name: Fletcher, Murray J.
Publisher: name: Zenodo
Year: 2010
Subjects: Biodiversity
Taxonomy
Animalia
Arthropoda
Insecta
Hemiptera
Issidae
Apsadaropteryx

description: Genus Apsadaropteryx Kirkaldy
Apsadaropteryx Kirkaldy 1907: 103. Type species: Issus elongatulus Kirkaldy, by monotypy.
Diagnosis. Differs from the closely related Chlamydopteryx by rather elongate fore wings with sinuate radial vein and the venation of hind wings: radius bifurcate, median, cubitus posterior, first and second anal veins simple, cubitus anterior pentafurcate, postcubitus tetrafurcate; between second branch of radius and median, between median and first branch of cubitus anterior, between cubitus posterior and postcubitus, and between postcubitus and first anal vein – single transverse vein; fifth branch of cubitus anterior and cubitus posterior are fused and thickened (R 2 r-m M 1 m-cu CuA 5 CuP 1 cup-pcu Pcu 4 pcu-a A1 1 A2 1) (Figure 20).
description: Published as part of Gnezdilov, Vladimir M. & Fletcher, Murray J., 2010, A review of the Australian genera of the planthopper family Issidae (Hemiptera: Fulgoromorpha) with description of an unusual new species of Chlamydopteryx Kirkaldy, pp. 35-45 in Zootaxa 2366 on page 39, DOI: 10.5281/zenodo.275776
Apsadaropteryx elongatulus Kirkaldy
Creators: name: Gnezdilov, Vladimir M.
name: Fletcher, Murray J.
Publisher: name: Zenodo
Year: 2010
Subjects: Biodiversity
Taxonomy
Animalia
Arthropoda
Insecta
Hemiptera
Issidae
Apsadaropteryx
Apsadaropteryx elongatulus

description: Apsadaropteryx elongatulus (Kirkaldy)
(Figs 9, 20)
Issus elongatulus Kirkaldy 1906: 438.
Apsadaropteryx elongatulus (Kirkaldy), Kirkaldy 1907: 104.
Type material examined. 1 male syntype “Cairns, Q. / Austr. 8.1904” “allotype” “ Issus / elongatulus / Kirk. / ♂ 298.”; 1 female syntype “Cairns, Q. / Austr. 8.1904” “Apsadarop- / teryx / elongatulus / Ƥ 298 / holotype ” (BPBM).
Other material examined. Australia, Queensland: 1 female, Cairns dist., A.M. Lea (SAM).
Distribution. Queensland.
Note. In his original description, Kirkaldy (1906) gives no specific mention of males or females but the above two specimens both match the original published data and are here regarded as syntypes. The labels bearing “ holotype ” and “allotype” were not validated by publication, as explained by Medler (1987) and this means that the male is available for designation as lectotype. This has not been done here pending a more intensive revision of the Australian Issidae.
description: Published as part of Gnezdilov, Vladimir M. & Fletcher, Murray J., 2010, A review of the Australian genera of the planthopper family Issidae (Hemiptera: Fulgoromorpha) with description of an unusual new species of Chlamydopteryx Kirkaldy, pp. 35-45 in Zootaxa 2366 on page 41, DOI: 10.5281/zenodo.275776
Tetrica curvicosta Jacobi
Creators: name: Gnezdilov, Vladimir M.
name: Fletcher, Murray J.
Publisher: name: Zenodo
Year: 2010
Subjects: Biodiversity
Taxonomy
Animalia
Arthropoda
Insecta
Hemiptera
Issidae
Tetrica
Tetrica curvicosta

description: Tetrica curvicosta Jacobi
Tetrica curvicosta Jacobi 1928: 13.
Type material examined. Holotype (by monotypy), Malanda, Qld (NHRS). Distribution. Queensland.
Note. Jacobi (1928) notes that only one specimen was available to him and this is here recognised as the holotype by monotypy. Photographs of this specimen in NHRS were examined to establish the identity of the species. Its sex is unknown.
description: Published as part of Gnezdilov, Vladimir M. & Fletcher, Murray J., 2010, A review of the Australian genera of the planthopper family Issidae (Hemiptera: Fulgoromorpha) with description of an unusual new species of Chlamydopteryx Kirkaldy, pp. 35-45 in Zootaxa 2366 on page 42, DOI: 10.5281/zenodo.275776
Identifying Hierarchically Triple Star Systems with Gaia DR3 and LAMOST
Creators: name: He, Tongyu
name: Li, Jiao
name: Li, Jiangdan
name: Xiong, Jianping
name: Zhang, Xiaobin
name: Kovalev, Mikhail
name: Cheng, Qiyuan
name: Guo, Sufen
name: Yang, Mingkuan
name: Chen, Xuefei
name: Han, Zhanwen
Publisher: name: arXiv
Year: 2024
Subjects: subject: Solar and Stellar Astrophysics (astro-ph.SR)
subject: Earth and Planetary Astrophysics (astro-ph.EP)
subject: Astrophysics of Galaxies (astro-ph.GA)
subject: FOS: Physical sciences

description: Triple star systems are critical for understanding stellar dynamics and compact objects in astrophysics, yet confirmed hierarchical triples identified via spectroscopy remain limited. In this study, we identified 23 triple systems by cross-matching the Gaia DR3 non-single star catalog with LAMOST DR10 spectroscopic data; 18 of them are new discoveries. For two well-observed triples, we performed radial velocity curve fitting and light curve analysis to determine their orbital parameters, with inner and outer periods of 1.26 days and 656 days for one triple, and 3.42 days and 422 days for the other. We compared the results with other studies. We also analyzed the radial velocities (RVs) of these 23 triples, revealing a range of $V$ from approximately 40~km~s$^{-1}$ to 210~km~s$^{-1}$. Due to spectral resolution and detection limitations, velocity differences below 45~km~s$^{-1}$ in binaries and below 90~km~s$^{-1}$ in the inner binaries of triple systems are challenging to detect. Consequently, our detection range for inner orbital periods is restricted to 0.2--20 days, with the highest efficiency for periods under 10 days. These findings underscore the advantage of spectroscopic observations for identifying triple systems with short inner orbital periods.
Soft QCD Physics at the LHC: highlights and opportunities
Creators: name: Christiansen, Peter
name: Van Mechelen, Pierre
Publisher: name: arXiv
Year: 2024
Subjects: subject: High Energy Physics - Experiment (hep-ex)
subject: High Energy Physics - Phenomenology (hep-ph)
subject: Nuclear Experiment (nucl-ex)
subject: Nuclear Theory (nucl-th)
subject: FOS: Physical sciences

description: The Large Hadron Collider (LHC) at CERN in Switzerland became operational in 2009 and has since then produced a plethora of results for proton-proton (pp) collisions. This short review covers results that relates to soft QCD focusing on non-diffractive physics at mid-rapidity. Most of the presented results comes from transverse momentum ($p_{\rm T}$) spectra and related/derived observables such as multiplicity, $\langle p_{\rm T} \rangle$ and ratios, but also the observed ``ridge'' and the questions of quark-gluon plasma in pp collisions will be discussed. The goal of the review is on one hand to introduce the topics and provide references for scientists joining the LHC program while at the same time highlighting what we consider the most interesting results and open questions to inspire novel measurements.
description: 25 pages, 5 figures. Invited review prepared for Annual Review of Nuclear and Particle Science
Increased Surface Temperatures of Habitable White Dwarf Worlds Relative to Main-Sequence Exoplanets
Creators: name: Shields, Aomawa L.
name: Wolf, Eric T.
name: Agol, Eric
name: Tremblay, Pier-Emmanuel
Publisher: name: arXiv
Year: 2024
Subjects: subject: Earth and Planetary Astrophysics (astro-ph.EP)
subject: Solar and Stellar Astrophysics (astro-ph.SR)
subject: FOS: Physical sciences

description: Discoveries of giant planet candidates orbiting white dwarf stars and the demonstrated capabilities of the James Webb Space Telescope bring the possibility of detecting rocky planets in the habitable zones of white dwarfs into pertinent focus. We present simulations of an aqua planet with an Earth-like atmospheric composition and incident stellar insolation orbiting in the habitable zone of two different types of stars - a 5000 K white dwarf and main-sequence K-dwarf star Kepler-62 with a similar effective temperature - and identify the mechanisms responsible for the two differing planetary climates. The synchronously-rotating white dwarf planet's global mean surface temperature is 25 K higher than that of the synchronously-rotating planet orbiting Kepler-62, due to its much faster (10-hr) rotation and orbital period. This ultra-fast rotation generates strong zonal winds and meridional flux of zonal momentum, stretching out and homogenizing the scale of atmospheric circulation, and preventing an equivalent build-up of thick, liquid water clouds on the dayside of the planet compared to the synchronous planet orbiting Kepler-62, while also transporting heat equatorward from higher latitudes. White dwarfs may therefore present amenable environments for life on planets formed within or migrated to their habitable zones, generating warmer surface environments than those of planets with main-sequence hosts to compensate for an ever shrinking incident stellar flux.
description: 18 pages, 8 figures, 2 tables, accepted for publication in The Astrophysical Journal
Exploring the Diversity of Faint Satellites in the M81 Group
Creators: name: Gozman, Katya
name: Bell, Eric F.
name: Jang, In Sung
name: Arias, Jose Marco
name: Bailin, Jeremy
name: de Jong, Roelof S.
name: D'Souza, Richard
name: Gnedin, Oleg Y.
name: Monachesi, Antonela
name: Price, Paul A.
name: Rao, Vaishnav V.
name: Smercina, Adam
Publisher: name: arXiv
Year: 2024
Subjects: subject: Astrophysics of Galaxies (astro-ph.GA)
subject: FOS: Physical sciences

description: In the last decade, we have been able to probe further down the galaxy luminosity function than ever before and expand into the regime of ultra-faint dwarfs (UFDs), which are some of the best probes we have of small-scale cosmology and galaxy formation. Digital sky surveys have enabled the discovery and study of these incredibly low-mass, highly dark-matter dominated systems around the Local Group, but it is critical that we expand the satellite census further out to understand if Milky Way and M31 satellites are representative of dwarf populations in the local Universe. Using data from HST/ACS, we present updated characterization of four satellite systems in the M81 group. These systems - D1005+68, D1006+69, DWJ0954+6821, and D1009+68 - were previously discovered using ground-based Subaru HSC data as overdensities in M81's halo and are now confirmed with HST/ACS by this work. These are all faint (M_V >= -7.9) and consistent with old (~13 Gyr), metal-poor ([M/H] < -1.5) populations. Each system possesses relatively unusual features - including one of the most concentrated satellite galaxies with a Sersic index of n ~ 5, one of the most elliptical galaxies outside the Local Group with an e ~ 0.6, and one of the most compact galaxies for its magnitude. Two of the satellites have very low surface brightness, lower than most known galaxies in this absolute magnitude range. This work previews the scientific promise of the upcoming Rubin Observatory and Roman Telescope for illuminating the diversity of UFDs in the Local Volume and beyond.
description: 24 pages, 12 figures, 1 appendix, accepted to ApJ
Scaling BERT Models for Turkish Automatic Punctuation and Capitalization Correction
Creators: name: Saoud, Abdulkader
name: Alomeyr, Mahmut
name: Kesgin, Himmet Toprak
name: Amasyali, Mehmet Fatih
Publisher: name: arXiv
Year: 2024
Subjects: subject: Computation and Language (cs.CL)
subject: Artificial Intelligence (cs.AI)
subject: Machine Learning (cs.LG)
subject: FOS: Computer and information sciences

description: This paper investigates the effectiveness of BERT based models for automated punctuation and capitalization corrections in Turkish texts across five distinct model sizes. The models are designated as Tiny, Mini, Small, Medium, and Base. The design and capabilities of each model are tailored to address the specific challenges of the Turkish language, with a focus on optimizing performance while minimizing computational overhead. The study presents a systematic comparison of the performance metrics precision, recall, and F1 score of each model, offering insights into their applicability in diverse operational contexts. The results demonstrate a significant improvement in text readability and accuracy as model size increases, with the Base model achieving the highest correction precision. This research provides a comprehensive guide for selecting the appropriate model size based on specific user needs and computational resources, establishing a framework for deploying these models in real-world applications to enhance the quality of written Turkish.
description: 2024 Innovations in Intelligent Systems and Applications Conference (ASYU)
Agnihotri-Woodward-Belkale polytope and the intersection of Klyachko cones
Creators: name: Orevkov, S. Yu.
name: Orevkov, Yu. P.
Publisher: name: arXiv
Year: 2008
Subjects: subject: Combinatorics (math.CO)
subject: FOS: Mathematics
subject: 15A42

description: Agnihotri-Woodward-Belkale polytope $Δ$ (resp. Klyachko cone $K$) is the set of solutions of the multiplicative (resp. additive) Horn's problem, i.e., the set of triples of spectra of special unitary (resp. traceless Hermitian) $n\times n$ matrices satisfying $AB=C$ (resp. $A+B=C$). $K$ is the tangent cone of $Δ$ at the origin. The group $G=\Bbb Z_n \oplus \Bbb Z_n$ acts naturally on $Δ$. In this note, we report on a computer calculation which shows that $Δ$ coincides with the intersection of $gK$, $g\in G$, for $n\le 14$ but does not coincide for $n=15$. Our motivation was an attempt to understand how to solve the multiplicative Horn problem in practice for given conjugacy classes in SU(n).
description: 6 pages
Garside groups and Yang-Baxter equation
Creators: name: Chouraqui, Fabienne
Publisher: name: arXiv
Year: 2009
Subjects: subject: Group Theory (math.GR)
subject: Rings and Algebras (math.RA)
subject: FOS: Mathematics

description: We establish a one-to-one correspondence between a class of Garside groups admitting a certain presentation and the structure groups of non-degenerate, involutive and braided set-theoretical solutions of the quantum Yang-Baxter equation. We also characterize indecomposable solutions in terms of $Δ$-pure Garside groups.
description: This is the last version of the paper, as it appears in Communications in Algebra, Volume 38 Issue 12, December 2010
Products of conjugacy classes in finite unitary groups $GU(3,q^2)$ and $SU(3,q^2)$
Creators: name: Orevkov, Stepan Yu.
Publisher: name: arXiv
Year: 2010
Subjects: subject: Group Theory (math.GR)
subject: FOS: Mathematics

description: For the finite groups GU(3), SU(3), GL(3), SL(3) over a finite field we solve the class product problem, i.e., we give a complete list of $m$-tuples of conjugacy classes whose product does not contain the identity matrix.
Knuth-Bendix algorithm and the conjugacy problems in monoids
Creators: name: Chouraqui, Fabienne
Publisher: name: arXiv
Year: 2010
Subjects: subject: Group Theory (math.GR)
subject: FOS: Mathematics

description: We present an algorithmic approach to the conjugacy problems in monoids, using rewriting systems. We extend the classical theory of rewriting developed by Knuth and Bendix to a rewriting that takes into account the cyclic conjugates.
description: This is a new version of the paper 'The conjugacy problems in monoids and semigroups'. This version will appear in the journal 'Semigroup forum'
Markov trace on Funar algebra
Creators: name: Orevkov, Stepan
Publisher: name: arXiv
Year: 2012
Subjects: subject: Geometric Topology (math.GT)
subject: Representation Theory (math.RT)
subject: FOS: Mathematics
subject: 57M27

description: Funar algebra $K_\infty=K_\infty(α,β;k)$ is the quotient of the group algebra over a ring $k$ of the braid group $B_\infty$ by two cubic relations: $σ_1^3-ασ_1^2+βσ_1-1=0$ and another one which involves $σ_1$ and $σ_2$. The universal Markov trace on $K_\infty$ is the quotient map $t$ of $K_\infty(α,β,k[u,v])$ to its quotient (as a $k[u,v]$-module) by trace relations $xy=yx$ and by Markov relations $σ_nx=ux$, $σ_n^{-1}x=vx$ for $x\in K_n$. It is easy to check that the quotient is of the form $k[u,v]/I$ for some ideal $I$ (i. e. that the trace $t$ is determined by $t(1)$). We give an algorithm to compute the ideal $I$ and we present the result of computations in some special cases. In the last section we discuss some properties of the resulting link invariant. This invariant for $β=0$, $k=GF(37)[α]$ detects the chirality of the knots $10_{48}$ and $10_{91}$ and it distinguish many other pairs of knots with equal HOMFLY polynomials.
description: 23 pages, 5 figures, 3 tables
Cubic Hecke Algebras and Invariants of Transversal Links
Creators: name: Orevkov, S. Yu.
Publisher: name: arXiv
Year: 2013
Subjects: subject: Geometric Topology (math.GT)
subject: FOS: Mathematics
subject: 57M27

description: We propose a purely algebraic approach to construct invariants of transversal links in the standard contact structure on the 3-sphere generalizing Jones' approach to invariant of usual links. The only geometry used is the analogue of Alexander and Markov theorems. More precisely, we construct a trace on a certain cubic Hecke algebra which is invariant under positive Markov moves only (we propose to call it a semi-Markov trace). The trace takes its values in the quotient of a polynomial ring by a certain ideal. An algorithm for computing a Groebner base of the ideal is given.
description: 6 pages, 2 figures
Basic nets in the projective plane
Creators: name: Orevkov, S. Yu.
Publisher: name: arXiv
Year: 2013
Subjects: subject: Combinatorics (math.CO)
subject: FOS: Mathematics
subject: 05C10

description: The notion of basic net (called also basic polyhedron) on $S^2$ plays a central role in Conway's approach to enumeration of knots and links in $S^3$. Drobotukhina applied this approach for links in $RP^3$ using basic nets on $RP^2$. By a result of Nakamoto, all basic nets on $S^2$ can be obtained from a very explicit family of minimal basic nets (the nets $(2\times n)^*$, $n\ge3$, in Conway's notation) by two local transformations. We prove a similar result for basic nets in $RP^2$.
 We prove also that a graph on $RP^2$ is uniquely determined by its pull-back on $S^3$ (the proof is based on Lefschetz fix point theorem).
description: 14 pages, 15 figures
On modular computation of Groebner bases with integer coefficients
Creators: name: Orevkov, S. Yu.
Publisher: name: arXiv
Year: 2013
Subjects: subject: Commutative Algebra (math.AC)
subject: Symbolic Computation (cs.SC)
subject: FOS: Mathematics
subject: FOS: Computer and information sciences
subject: 13P10

description: Let $I_1\subset I_2\subset\dots$ be an increasing sequence of ideals of the ring $\Bbb Z[X]$, $X=(x_1,\dots,x_n)$ and let $I$ be their union. We propose an algorithm to compute the Gröbner base of $I$ under the assumption that the Gröbner bases of the ideal $\Bbb Q I$ of the ring $\Bbb Q[X]$ and the the ideals $I\otimes(\Bbb Z/m\Bbb Z)$ of the rings $(\Bbb Z/m\Bbb Z)[X]$ are known.
 Such an algorithmic problem arises, for example, in the construction of Markov and semi-Markov traces on cubic Hecke algebras.
description: 3 pages
Algorithmic recognition of quasipositive braids of algebraic length two
Creators: name: Orevkov, Stepan Yu.
Publisher: name: arXiv
Year: 2014
Subjects: subject: Group Theory (math.GR)
subject: FOS: Mathematics
subject: 20F36

description: We give an algorithm to decide if a given braid is a product of two factors which are conjugates of given powers of standard generators of the braid group. The same problem is solved in a certain class of Garside groups including Artin-Tits groups of spherical type. The solution is based on the Garside theory and, especially, on the theory of cyclic sliding developed by Gebhardt and Gonzalez-Meneses. We show that if a braid is of the required form, then any cycling orbit in its sliding circuit set in the dual Garside structure contains an element for which this fact is immediately seen from the left normal form.
description: 25 pages, 1 figure
Criterion of Hurwitz equivalence for quasipositive factorizations of 3-braids
Creators: name: Orevkov, Stepan Yu.
Publisher: name: arXiv
Year: 2015
Subjects: subject: Group Theory (math.GR)
subject: FOS: Mathematics

description: We consider the Hurwitz action on quasipositive factorizations of a 3-braid. In a previous paper, for any given 3-braid we described a certain finite set which contains at least one representative of each orbit. Here we give an algorithm to decide if two elements of this finite set belong to the same orbit.
description: 6 pages
Algorithmic recognition of quasipositive 4-braids of algebraic length three
Creators: name: Orevkov, Stepan Yu.
Publisher: name: arXiv
Year: 2015
Subjects: subject: Group Theory (math.GR)
subject: FOS: Mathematics
subject: 20F36

description: We give an algorithm to decide whether a given braid with four strings is a product of three factors which are conjugates of standard generators of the braid group. The algorithm is of polynomial time. It is based on the Garside theory. We give also a polynomial algorithm to decide if a given braid with any number of strings is a product of two factors which are conjugates of given powers of the standard generators (in my previous paper this problem was solved without polynomial estimates).
description: 19 pages, 1 figure
Remark on Tono's theorem about cuspidal curves
Creators: name: Orevkov, Stepan
Publisher: name: arXiv
Year: 2015
Subjects: subject: Algebraic Geometry (math.AG)
subject: FOS: Mathematics
subject: 14H50

description: We give an upper bound for the number of cusps of a plane affine or projective curve via its first Betti number.
description: 3 pages
Automorphism group of the commutator subgroup of the braid group
Creators: name: Orevkov, Stepan Yu.
Publisher: name: arXiv
Year: 2015
Subjects: subject: Group Theory (math.GR)
subject: FOS: Mathematics
subject: 20F36

description: Let $B'_n$ be the commutator subgroup of the braid group $B_n$. We prove that $Aut(B'_n)=Aut(B_n)$ for $n\ge4$. This answers a question asked by Vladimir Lin.
description: 19 pages, 3 figures
Topology of maximally writhed real algebraic knots
Creators: name: Mikhalkin, Grigory
name: Orevkov, Stepan
Publisher: name: arXiv
Year: 2017
Subjects: subject: Algebraic Geometry (math.AG)
subject: FOS: Mathematics

description: Oleg Viro introduced an invariant of rigid isotopy for real algebraic knots in $RP^3$ which can be viewed as a first order Vassiliev invariant. In this paper we look at real algebraic knots of degree $d$ with the maximal possible value of this invariant. We show that for a given $d$ all such knots are topologically isotopic and explicitly identify their knot type.
description: 6 pages, 2 figures. Only few small misprints are corrected in v2
Maximally writhed real algebraic links
Creators: name: Mikhalkin, Grigory
name: Orevkov, Stepan
Publisher: name: arXiv
Year: 2017
Subjects: subject: Algebraic Geometry (math.AG)
subject: FOS: Mathematics

description: Oleg Viro introduced an invariant of rigid isotopy for real algebraic knots and links in $\Bbb{RP}^3$ which can be viewed as a first order Vassiliev invariant. In this paper we classify real algebraic links of degree $d$ with the maximal value of this invariant in its two versions: $w$ and $w_λ$.
description: 20 pages, 12 figures
On the hyperbolicity locus of a real curve
Creators: name: Orevkov, Stepan
Publisher: name: arXiv
Year: 2017
Subjects: subject: Algebraic Geometry (math.AG)
subject: FOS: Mathematics

description: Given a real algebraic curve in the projective 3-space, its hyperbolicity locus is the set of lines with respect to which the curve is hyperbolic. We give an example of a smooth irreducible curve whose hyperbolicity locus is disconnected but the connected components are not distinguished by the linking numbers with the connected components of the curve.
description: 4 pages, 3 figures
Corrigendum to the paper "A flexible affine $M$-sextic which is algebraically unrealizable"
Creators: name: Touzé, S. Fiedler--Le
name: Orevkov, S.
name: Shustin, E.
Publisher: name: arXiv
Year: 2018
Subjects: subject: Algebraic Geometry (math.AG)
subject: FOS: Mathematics

description: We prove the algebraic unrealizability of certain isotopy type of plane affine real algebraic M-sextic which is pseudoholomorphically realizable. This result completes the classification up to isotopy of real algebraic affine M-sextics. The proof of this result given in a previous paper by the first two authors was incorrect.
description: 10 pages, 8 figures
Nonlinear stationary subdivision schemes that reproduce trigonometric functions
Creators: name: Donat, Rosa
name: López-Ureña, Sergio
Publisher: name: arXiv
Year: 2018
Subjects: subject: Numerical Analysis (math.NA)
subject: FOS: Mathematics
subject: 41A25, 41A30, 65D15, 65D17

description: In this paper we define a family of nonlinear, stationary, interpolatory subdivision schemes with the capability of reproducing conic shapes including polynomials upto second order. Linear, non-stationary, subdivision schemes do also achieve this goal, but different conic sections require different refinement rules to guarantee exact reproduction. On the other hand, with our construction, exact reproduction of different conic shapes can be achieved using exactly the same nonlinear scheme. Convergence, stability, approximation and shape preservation properties of the new schemes are analyzed. In addition, the conditions to obtain $\mathcal{C}^1$ limit functions are also studied.
Isometry invariant permutation codes and mutually orthogonal Latin squares
Creators: name: Janiszczak, Ingo
name: Staszewski, Reiner
Publisher: name: arXiv
Year: 2018
Subjects: subject: Combinatorics (math.CO)
subject: FOS: Mathematics

description: Commonly the direct construction and the description of mutually orthogonal Latin squares (MOLS) makes use of difference or quasi-difference matrices. Now there exists a correspondence between MOLS and separable permutation codes. We like to present separable permutation codes of length $35$, $48$, $63$ and $96$ and minimum distance $34$, $47$, $62$ and $95$ consisting of $6 \times 35$, $10 \times 48$, $8 \times 63$ and $8 \times 96$ codewords respectively. Using the correspondence this gives $6$ MOLS for $n=35$, $10$ MOLS for $n=48$, $8$ MOLS for $n=63$ and $8$ MOLS for $n=96$. So $N(35) \ge 6$, $N(48) \ge 10$, $N(63) \ge 8$ and $N(96) \ge 8$ holds which are new lower bounds for MOLS. The codes will be given by generators of an appropriate subgroup $U$ of the isometry group of the symmetric group $S_n$ and $U$-orbit representatives. This gives an alternative uniform way to describe the MOLS where the data for the codes can be used as input for computer algebra systems like MAGMA, GAP etc.
Estimating Treatment Effect under Additive Hazards Models with High-dimensional Covariates
Creators: name: Hou, Jue
name: Bradic, Jelena
name: Xu, Ronghui
Publisher: name: arXiv
Year: 2019
Subjects: subject: Methodology (stat.ME)
subject: Quantitative Methods (q-bio.QM)
subject: Applications (stat.AP)
subject: Machine Learning (stat.ML)
subject: FOS: Computer and information sciences
subject: FOS: Biological sciences

description: Estimating causal effects for survival outcomes in the high-dimensional setting is an extremely important topic for many biomedical applications as well as areas of social sciences. We propose a new orthogonal score method for treatment effect estimation and inference that results in asymptotically valid confidence intervals assuming only good estimation properties of the hazard outcome model and the conditional probability of treatment. This guarantee allows us to provide valid inference for the conditional treatment effect under the high-dimensional additive hazards model under considerably more generality than existing approaches. In addition, we develop a new Hazards Difference (HDi), estimator. We showcase that our approach has double-robustness properties in high dimensions: with cross-fitting, the HDi estimate is consistent under a wide variety of treatment assignment models; the HDi estimate is also consistent when the hazards model is misspecified and instead the true data generating mechanism follows a partially linear additive hazards model. We further develop a novel sparsity doubly robust result, where either the outcome or the treatment model can be a fully dense high-dimensional model. We apply our methods to study the treatment effect of radical prostatectomy versus conservative management for prostate cancer patients using the SEER-Medicare Linked Data.
Bounding Radon numbers via Betti numbers
Creators: name: Patáková, Zuzana
Publisher: name: arXiv
Year: 2019
Subjects: subject: Combinatorics (math.CO)
subject: FOS: Mathematics

description: We prove general topological Radon-type theorems for sets in $\mathbb R^d$ or on a surface. Combined with a recent result of Holmsen and Lee, we also obtain fractional Helly theorem, and consequently the existence of weak $\varepsilon$-nets as well as a $(p,q)$-theorem for those sets.
 More precisely, given a family $\mathcal F$ of subsets of $\mathbb R^d$, we will measure the homological complexity of $\mathcal F$ by the supremum of the first $\lceil d/2\rceil$ reduced Betti numbers of $\bigcap \mathcal G$ over all nonempty $\mathcal G \subseteq \mathcal F$. We show that if $\mathcal F$ has homological complexity at most $b$, the Radon number of $\mathcal F$ is bounded in terms of $b$ and $d$. In case that $\mathcal F$ lives on a surface and the number of connected components of $\bigcap \mathcal G$ is at most $b$ for any nonempty $\mathcal G \subseteq \mathcal F$, then the Radon number of $\mathcal F$ is bounded by a function depending only on $b$ and the surface itself.
 For surfaces, if we moreover assume the sets in $\mathcal F$ are open, we show that the fractional Helly number of $\mathcal F$ is linear in $b$. The improvement is based on a recent result of the author and Kalai. Specifically, for $b=1$ we get that the fractional Helly number is at most three, which is optimal. This case further leads to solving a conjecture of Holmsen, Kim, and Lee about an existence of a $(p,q)$-theorem for open subsets of a surface.
description: 22 pages; Ramsey part significantly expanded
On the properties of quasi-Banach function spaces
Creators: name: Nekvinda, Aleš
name: Peša, Dalimil
Publisher: name: arXiv
Year: 2020
Subjects: subject: Functional Analysis (math.FA)
subject: FOS: Mathematics
subject: 46A16, 46E30

description: In this paper we explore some basic properties of quasi-Banach function spaces which are important in applications. Namely, we show that they posses a generalised version of Riesz--Fischer property, that embeddings between them are always continuous and that the dilation operator is bounded on them. We also provide a characterisation of separability for quasi-Banach function spaces over the Euclidean space. Furthermore, we extend the classical Riesz--Fischer theorem to the context of quasinormed spaces and, as a consequence, obtain an alternative proof of completeness of quasi-Banach function spaces.
Combining Prior Knowledge and Data for Robust Controller Design
Creators: name: Berberich, Julian
name: Scherer, Carsten W.
name: Allgöwer, Frank
Publisher: name: arXiv
Year: 2020
Subjects: subject: Systems and Control (eess.SY)
subject: Optimization and Control (math.OC)
subject: FOS: Electrical engineering, electronic engineering, information engineering
subject: FOS: Mathematics

description: We present a framework for systematically combining data of an unknown linear time-invariant system with prior knowledge on the system matrices or on the uncertainty for robust controller design. Our approach leads to linear matrix inequality (LMI) based feasibility criteria which guarantee stability and performance robustly for all closed-loop systems consistent with the prior knowledge and the available data. The design procedures rely on a combination of multipliers inferred via prior knowledge and learnt from measured data, where for the latter a novel and unifying disturbance description is employed. While large parts of the paper focus on linear systems and input-state measurements, we also provide extensions to robust output-feedback design based on noisy input-output data and against nonlinear uncertainties. We illustrate through numerical examples that our approach provides a flexible framework for simultaneously leveraging prior knowledge and data, thereby reducing conservatism and improving performance significantly if compared to black-box approaches to data-driven control.
Homomorphisms of commutator subgroups of braid groups with small number of strings
Creators: name: Orevkov, S. Yu.
Publisher: name: arXiv
Year: 2020
Subjects: subject: Group Theory (math.GR)
subject: FOS: Mathematics

description: For any $n$, we describe all endomorphisms of the braid group $B_n$ and of its commutator subgroup $B'_n$, as well as all homomorphisms $B'_n\to B_n$. These results are new only for small $n$ because endomorphisms of $B_n$ are already described by Castel for $n\ge 6$, and homomorphisms $B'_n\to B_n$ and endomorphisms of $B'_n$ are already described by Kordek and Margalit for $n\ge 7$. We use very different approaches for $n=4$ and for $n\ge 5$.
description: 13 pages, 4 figures. There is an error in the proof of Lemma 3.2 in Version 1. This error is corrected in Version 2
Robust stability analysis of a simple data-driven model predictive control approach
Creators: name: Bongard, Joscha
name: Berberich, Julian
name: Köhler, Johannes
name: Allgöwer, Frank
Publisher: name: arXiv
Year: 2021
Subjects: subject: Optimization and Control (math.OC)
subject: Systems and Control (eess.SY)
subject: FOS: Mathematics
subject: FOS: Electrical engineering, electronic engineering, information engineering

description: In this paper, we provide a theoretical analysis of closed-loop properties of a simple data-driven model predictive control (MPC) scheme. The formulation does not involve any terminal ingredients, thus allowing for a simple implementation without (potential) feasibility issues. The proposed approach relies on an implicit description of linear time-invariant systems based on behavioral systems theory, which only requires one input-output trajectory of an unknown system. For the nominal case with noise-free data, we prove that the data-driven MPC scheme ensures exponential stability for the closed loop if the prediction horizon is sufficiently long. Moreover, we analyze the robust data-driven MPC scheme for noisy output measurements for which we prove closed-loop practical exponential stability. The advantages of the presented approach are illustrated with a numerical example.
Searching a systematics for nonfactorizable contribution to B-and B0 mesons
Creators: name: Kaur, Maninder
name: Singh, Supreet Pal
name: Verma, R. C.
Publisher: name: arXiv
Year: 2021
Subjects: subject: High Energy Physics - Phenomenology (hep-ph)
subject: FOS: Physical sciences

description: Two-body weak decays / and are examined under isospin analysis to study nonfactorizable contributions. After extracting the strong phases and obtaining the factorizable contributions from spectator-quark diagrams for Nc=3, we determine nonfactorizable isospin amplitudes from the experimental data for these modes. Our results support the universality of ratio of nonfactorizable isospin reduced amplitudes for these decays within experimental errors. In order to show that this systematics is not coincidental, we also plot our results w. r. t. this ratio.
Absolutely stable time crystals at finite temperature
Creators: name: Machado, Francisco
name: Zhuang, Quntao
name: Yao, Norman Y.
name: Zaletel, Michael P.
Publisher: name: arXiv
Year: 2021
Subjects: subject: Quantum Physics (quant-ph)
subject: Disordered Systems and Neural Networks (cond-mat.dis-nn)
subject: Statistical Mechanics (cond-mat.stat-mech)
subject: Cellular Automata and Lattice Gases (nlin.CG)
subject: Classical Physics (physics.class-ph)
subject: FOS: Physical sciences

description: We show that locally-interacting, periodically-driven (Floquet) Hamiltonian dynamics coupled to a Langevin bath support finite-temperature discrete time crystals (DTC) with an infinite auto-correlation time. By contrast to both prethermal and many-body localized DTCs, the time crystalline order we uncover is stable to arbitrary perturbations, including those that break the time translation symmetry of the underlying drive. Our approach utilizes a general mapping from probabilistic cellular automata (PCA) to open classical Floquet systems undergoing continuous-time Langevin dynamics. Applying this mapping to a variant of the Toom cellular automata, which we dub the ''$π$-Toom time crystal'', leads to a 2D Floquet Hamiltonian with a finite-temperature DTC phase transition. We provide numerical evidence for the existence of this transition, and analyze the statistics of the finite temperature fluctuations. Finally, we discuss how general results from the field of probabilistic cellular automata imply the existence of discrete time crystals (with an infinite auto-correlation time) in all dimensions, $d \geq 1$.
description: 6 + 9 pages, 4 + 9 figures