bluuebunny/crossref_metadata_2025_split huggingface dataset:
Why Splinter? Parties that Split from the FSLN, FMLN and URNG
Authors: ALLISON MICHAEL E. 
Published: July 2016

AbstractFollowing the ends to the civil wars in Nicaragua, El Salvador and Guatemala, the revolutionary coalitions that had led the fight against authoritarian regimes began to fracture. However, none of the splinter parties that broke from the Sandinista National Liberation Front, Farabundo Martí National Liberation Front, and Guatemalan National Revolutionary Unit has succeeded on their own as political parties. In this article, I argue that there is no single reason to explain the poor performances of the Democratic Party (PD), the Renovating Movement (MR), and the Democratic Front Party (FDR) in El Salvador, the Sandinista Renovation Movement (Renovate-MRS) and the Movement to Rescue Sandinismo (Rescue-MRS) in Nicaragua, and the New Nation Alliance (ANN) in Guatemala. However, their limited financial resources, alliances with non-revolutionary centrist and centre-right parties, and voter tendency to overlook internal ideological and personal debates within the original political parties, especially the FSLN and FMLN, have not helped.
On Montel’s Theorem
Authors: Kawakami Yoshiro 
Published: July 2016

In this note we shall prove a theorem which is related to Montel’s theorem [1] on bounded regular functions. Let E be a measurable set on the positive y-axis in the z( = x + iy)-plane, E(a, b) be its part contained in 0 ≦ a ≦ y ≦ b, and ∣E(a, b)∣ be its measure. We define the lower density of E at y = 0 byLEMMA, Let E be a set of positive lower density λ at y = 0. Then E contains a subset E1 of the same lower density at y = 0 such that E1 ∪ {0} is a closed set.
Tensor products and localizations of algebras
Authors: Bowman S. R. , O’Carroll L. 
Published: July 2016

In a recent paper [5], it was shown that the tensor product of a finite number of fields over a common subfield satisfies the property that each localization at a prime ideal is a primary ring (in the sense that a zero-divisor is in fact a nilpotent element).In the first section of this paper, we exploit the properties of associated primes and of flat extensions so as to generalize the above result to zero-dimensional algebras; a simple example shows that this is the best one can hope for. The converse situation is also investigated.
Remarks on the paper “Transient Markov convolution semi-groups and the associated negative definite functions”
Authors: Itô Masayuki 
Published: July 2016

Let X be a locally compact and σ-compact abelian group and let denote the dual group of X. We denote by ξ a fixed Haar measure on X and by the Haar measure associated with ξ. In [2], we show the followingTheorem. Let (αt)t≧0 be a sub-Markov convolution semi-group on X and let ψ be the negative definite function associated with (αt)t≧0. Then (αt)t≧0 is transient if and only if Re (1/ψ) is locally -summable.
Nonstandard Arithmetic of Polynomial Rings
Authors: Yasumoto Masahiro 
Published: July 2016

Let f(X, T1,…, Tm) be a polynomial over an algebraic number field k of finite degree. In his paper [2], T. Kojima provedTHEOREM. Let K = Q. if for every m integers t1, …, tm, there exists an r ∈ K such that f(r, t1, …, tm) =), then there exists a rational function g(T1,…,Tm) over Q such thatF(g(T1,…,Tm), T1,…,T)= 0.
Note on the class-number of the maximal real subfield of a cyclotomic field, II
Authors: Osada Hiroyuki 
Published: July 2016

For an integer m > 2, we denote by C(m) and H(m) the ideal class group and the class-number of the fieldK = Q(ζm + ζm−1)respectively, where ζm is a primitive m-th root of unity. Let q be a prime and /Q be a real cyclic extension of degree q. Let C() and h() be the ideal class group and the class-number of . In this paper, we give a relation between C() (resp. h()) and C(m) (resp. H(m)) in the case that m is the conductor of (Main Theorem). As applications of this main theorem, we give the following three propositions. In the previous paper [4], we showed that there exist infinitely many square-free integers m satisfying n|H(m) for any given natural number n. Using the result of Nakahara [2], we give first an effective sufficient condition for an integer m to satisfy n|H(m) for any given natural number n (Proposition 1). Using the result of Nakano [3], we show next that there exist infinitely many positive square-free integers m such that the ideal class group C(m) has a subgroup which is isomorphic to (Z/nZ)2 for any given natural number n (Proposition 2). In paper [4], we gave some sufficient conditions for an integer m to satisfy 3|H(m) and m≡l (mod 4). In this paper, using the result of Uchida [5], we give moreover a sufficient condition for an integer m to satisfy 4|H(m) and m ≡ 3 (mod 4) (Proposition 3). Finally, we give numerical examples of some square-free integers m satisfying 4|H(m) and m ≡ 3 (mod 4).
On polylogarithms
Authors: Dupont Johan L. 
Published: July 2016

Some functions related to the complex dilogarithmic function(in the notation of Lewin [9]) are known to occur in connection with algebraic K-theory and characteristic classes (see e.g. Bloch [1], Gelfand-MacPherson [7], Dupont [5], and the references given there). Recently MacPherson and Hain (see [10]) has announced results of a similar kind for some higher polylogarithmic functions. Also Ramakrishnan [11] and [12] has recently studied the classical polylogarithms, which for |z| < 1 are given by
A note on Lévy’s Brownian motion II
Authors: Si Si 
Published: July 2016

The purpose of this paper is to discuss some particular random fields derived from Lévy’s Brownian motion to find its characteristic properties of the joint probability distributions. In [9], special attention was paid to the behaviour of the Brownian motion when the parameter runs along a curve in the parameter space, and with this property the conditional expectation has been obtained when the values are known on the curve.The present paper deals with the variation of the Brownian motion in the normal direction to a given curve, in contrast to the case in [9], where we discussed the properties along the curve. Actually we shall find, in this paper, formulae of the variation with the help of the normal derivative of Brownian motion and observe its singularity. We then discuss partial derivatives of Rd-parameter Lévy’s Brownian motion and make attempt to restrict the parameter to a hypersurface so that we obtain new random fields on that hypersurface. By comparing such derivatives with those of other Gaussian random fields, we can see that the singularity of the new random fields seems to be an interesting characteristic of Lévy’s Brownian motion. Further, we hope that our approach may be thought of as a first step to the variational calculus for Gaussian random fields.
A probabilistic study on the value-distribution of Dirichlet series attached to certain cusp forms
Authors: Matsumoto Kohji 
Published: July 2016

The existence of the asymptotic probability measure of the Riemann zeta-function was proved in Bohr-Jessen’s classical paper [3] [4].Lets = σ + itbe a complex variable, ζ(s) the Riemann zeta-function, andRan arbitrary rectangle with the edges parallel to the axes. Then, for any σ0> ½ andT> 0, the setis Jordan measurable, and we denote the Jordan measure of this set by V(T, R; ξ). Then, Bohr-Jessen’s main result asserts the existence of the limit
Connection problem in holonomicq-difference system associated with a Jackson integral of Jordan-Pochhammer type
Authors: Mimachi Katsuhisa 
Published: July 2016

Fix a complex numberqwith|q|< 1. LetT1…,Tnbe n-commutingq-difference operators defined byfor a functionf(x), x=(x1,…,xn)ε (C*)n. Consider a system of linearq-difference equations in several variables for a matrix valued functionon(C*)nas follows:
Equilibrium fluctuations for one-dimensional Ginzburg-Landau lattice model
Authors: Zhu Ming 
Published: July 2016

We shall investigate a system of spin configurations S = {S(t, x); t ≥ 0, x ∊ ℤ} on a one-dimensional lattice ℤ changing randomly in time. The evolution law is described by an infinite-dimensional stochastic differential equation (SDE):where {β(t, x); t > 0, x ∊ Z} is a family of independent standard Wiener processes and U′ is the derivative of a self-potential U: R → R.
On the Dimension of Modules and Algebras, VI. Comparison of Global and Algebra Dimension
Authors: Auslander Maurice 
Published: July 2016

Throughout this paper all rings are assumed to have unit elements. A ring Λ is said to be semi-primary if its Jacobson radical N is nilpotent and Г = Λ/N satisfies the minimum condition. The main objective of this paper isTHEOREM I. Let A be a semi-primary algebra over a field K. Let N be the radical of Λ and Г = Λ/N. IfThendim Λ = gl.dim Λ.
Note on Non-Commutative Semi-Local Rings
Authors: Hinohara Yukitoshi 
Published: July 2016

Our aim in this note is to generalize some topological results of commutative noetherian rings to non-commutative rings. As a supplemental remark of [2] we prove in § 1 that any right ideal of a complete right semi-local ring is closed, and thatfor any finitely generated right module M over a complete right semi-local ring Λ where J is the Jacobson radical of Λ.
Littlewood-Paley theory on Gaussian spaces
Authors: Potthoff Jürgen 
Published: July 2016

In this article we prove a number of inequalities of Littlewood-Paley-Stein (LPS) type for functions on general Gaussian spaces (s. below).In finite dimensional Euclidean spaces (with Lebesgue measure) the power of such inequalities has been demonstrated in Stein’s book [12]. In his second book [13], Stein treats other spaces too: also the situation of a general measure space (X, μ). However the latter case is too general to allow for a rich class of inequalities (cf. Theorem 10 in [13]).
White noise approach to Gaussian random fields
Authors: Lee Ke-Seung 
Published: July 2016

The purpose of this paper is to investigate way of dependency of Gaussian random fields X(D) indexed by a domain D in d-dimensional Euclidean space Rd. Our main tool is variational calculus, where the boundary of a domain varies and deforms and we appeal to the white noise analysis. We therefore assume that X(D) is expressed white noise integral of the form(0.1) X(D) = X(D, W)=∫D F(D, u)W(u)du,where W is the Rd-parameter white noise and the kernel F(D, u) is a square integrable function over Rd, and where D is a bounded domain with smooth boundary.
Residual automorphic representations of Sp4
Authors: Watanabe Takao 
Published: July 2016

Let G = Sp4 be the symplectic group of degree two defined over an algebraic number field F and K the standard maximal compact subgroup of the adele group G (A). By the general theory of Eisenstein series ([14]), one knows that the Hilbert space L2(G(F)\G(A)) has an orthogonal decomposition of the formL2(G(F)\G(A)) = L2(G) ⊕ L2(B) ⊕ L2(P1) ⊕ L2(P1),where B is a Borel subgroup and Pi are standard maximal parabolic subgroups in G for i = 1,2. The purpose of this paper is to study the space L2d(B) associated to discrete spectrurns in L2(B).
Automorphic forms and infinite matrices
Authors: Kubota Tomio 
Published: July 2016

In the present paper, we show that an infinite dimensional vector whose components are Fourier coefficients of an automorphic form is characterized as an infinite dimensional vector which is annihilated by an infinite matrix constructed by the values of a Bessel function. Results and methods are all simple and concrete.Although the idea in the present paper is applicable to more general cases, our investigation will be restricted to the case of automorphic forms of weight 0, i.e., automorphic functions, with respect to SL(2, Z) on the upper half plane, in order to explain the main idea distinctly.
A characterization of complete Riemannian manifolds minimally immersed in the unit sphere
Authors: Cheng Qing-Ming 
Published: July 2016

Let Mn be an n-dimensional Riemannian manifold minimally immersed in the unit sphere Sn+p (1) of dimension n + p. When Mn is compact, Chern, do Carmo and Kobayashi [1] proved that if the square ‖h‖2 of length of the second fundamental form h in Mn is not more than , then either Mn is totallygeodesic, or Mn is the Veronese surface in S4 (1) or Mn is the Clifford torus .In this paper, we generalize the results due to Chern, do Carmo and Kobayashi [1] to complete Riemannian manifolds.
Complete conformal metrics with prescribed scalar curvature on subdomains of a compact manifold
Authors: Kato Shin , Nayatani Shin 
Published: July 2016

Let (M, g) be a Riemannian manifold of dimension n≥ 3 and ĝanother metric on M which is pointwise conformai to g. It can be written where u is a positive smooth function on M. Then the curvature of g is computable in terms of that of g and the derivatives of u up to second order. In particular, if S and S denote the scalar curvature of g and g respectively, they are related by the equationwhere ▽u denotes the Laplacian of u, defined with respect to the metric g.
On the projective varieties associated with some subrings of the ring of Thetanullwerte
Authors: Manni Riccardo Salvati 
Published: July 2016

Let (X, L) be a principally polarized abelian variety (ppav) of dimension g such that L is a symmetric line bundle, i.e. i*L ≃ L where i is the inversion map i(x) = — x. We shall denote by X[2] the two torsion points of X which are fixed by i. For any x in X[2] we have an isomorphism(1) .
The mean values of Dirichlet L-functions at integer points and class numbers of cyclotomic fields
Authors: Katsurada Masanori , Matsumoto Kohji 
Published: July 2016

Let q be a positive integer, and L(s, χ) the Dirichlet L-function corresponding to a Dirichlet character χ mod q. We putwhere χ runs over all Dirichlet characters mod q except for the principal character χ0.
Des derivees de residus et une identite remarquable
Authors: Gomez Francisco , Lehmann Daniel 
Published: July 2016

Soit φ un polynome symétrique de q variables (q ≥ 1), homogène de degré p (p entier ≥ 2), à coefficients complexes. Soient (α1, α2, . . . , p) et (β1, β2, . . . , βp) deux familles de p nombres complexes, tous non nuls, et telles que toutes les différences soient également non nulles pour i ≠ j. Soient enfin (λ1, λ2, . . . , λq) et (μ1, μ2, . . . , μq) deux familles de q nombres complexes. On a alors:THÉORÈME 1..
Addendum to “On the Bergman kernel of hyperconvex domains”, Nagoya Math. J. 129 (1993), 43–52
Authors: Ohsawa Takeo 
Published: July 2016

0. In [0-1] it was proved that for any bounded hyperconvex domain D in C2 the Bergman kernel function K(z, w) of D satisfiesIn case n ═ 1, this is due to a behavior of sublevel sets of the Green function. The general case then follows by the extendability of L2 holomorphic functions.
Local solvability and hypoellipticity for pseudodifferential operators of Egorov type with infinite degeneracy
Authors: Morimoto Yoshinori 
Published: July 2016

Let P be a pseudodifferential operator of the formwhere s, b ≥ 0 are even integers and is odd function with f′(t) > 0 (t ≠ 0). Here . We shall call P an operator of Egorov type because P with f(t) = tk, (k odd) is an important model of subelliptic operators studied by Egorov [1] and Hörmander [3], [4, Chapter 27]. Roughly speaking, any subelliptic operator can be reduced to this operator or Mizohata one after several steps of microlocalization arguments. In this paper we shall study the hypoellipticity of P and the local solvability of adjoint operator P* in the case where f(t) vanishes infinitely at the origin and moreover consider the case where ts and are replaced by functions with zero of infinite order.
On the convergence of the zeta function for certain prehomogeneous vector spaces
Authors: Yukie Akihiko 
Published: July 2016

Let (G, V) be an irreducible prehomogeneous vector space defined over a number field k, P ∈ k[V] a relative invariant polynomial, and χ a rational character of G such that . For , let Gx be the stabilizer of x, and the connected component of 1 of Gx. We define L0 to be the set of such that does not have a non-trivial rational character. Then we define the zeta function for (G, Y) by the following integralwhere Φ is a Schwartz-Bruhat function, s is a complex variable, and dg” is an invariant measure.
Even canonical surfaces with small K2, III
Authors: Konno Kazuhiro 
Published: July 2016

This is a continuation of [5]. In the present part, we study irregular even surfaces of general type with K < 4χ, where K and χ denote respectively a canonical divisor and the holomorphic Euler-Poincaré characteristic. As the first main theorem, we show the following:
THEOREM 1. For any irregular even surface of general type with K < 4χ, the image of the Albanese map is a curve.
Volume-preserving geodesic symmetries on four-dimensional Hermitian Einstein spaces
Authors: Cho J. T. , Sekigawa K. , Vanhecke L. 
Published: July 2016

Abstract.We prove that a four-dimensional Hermitian Einstein space is weakly *-Einsteinian and use this result to show that all geodesic symmetries are volume-preserving (up to sign) if and only if it is local symmetric.
Stability of Hölder estimates for on pseudoconvex domains of finite type in ℂ2
Authors: Cho S. , Ahn H. , Kim S. 
Published: July 2016

AbstractLet Ω be a smoothly bounded pseudoconvex domain in ℂ2 and let bΩ be of finite type m. Then we prove the stability of Hölder estimates for under some perturbations of bΩ. As an application, we prove the Mergelyan property with respect to () norms for 0 ≤ α < 1/m.
A quasianalytic singular spectrum with respect to the Denjoy-Carleman class
Authors: Chung Soon-Yeong , Kim Dohan 
Published: July 2016

AbstractMaking use of the FBI (Fourier-Bros-Iagolnitzer) transforms we simplify the quasianalytic singular spectrum for the Fourier hyperfunctions, which was defined for distributions by Hörmander as follows; for any Fourier hyperfunction u, (x0, ξ0) does not belong to the quasianalytic singular spectrum W FM(u) if and only if there exist positive constants C, γ and N, and a neighborhood of x0 and a conic neighborhood Г of ξ0 such thatfor all x ∈ U, |ξ| ∈ Γ and |ξ| ≥ N, where M(t) is the associated function of the defining sequence Mp. This result simplifies Hörmander’s definition and unify the singular spectra for the C∞ class, the analytic class and the Denjoy-Carleman class, both quasianalytic and nonquasianalytic.
On transient Markov processes of Ornstein-Uhlenbeck type
Authors: Yamamuro Kouji 
Published: July 2016

Abstract.For Hunt processes on Rd, strong and weak transience is defined by finiteness and infiniteness, respectively, of the expected last exit times from closed balls. Under some condition, which is satisfied by Lévy processes and Ornstein-Uhlenbeck type processes, this definition is expressed in terms of the transition probabilities. A criterion is given for strong and weak transience of Ornstein-Uhlenbeck type processes on Rd, using their Lévy measures and coefficient matrices of linear drift terms. An example is discussed.
Mourre theory for time-periodic systems
Authors: Yokoyama Koichiro 
Published: July 2016

Abstract.Studies for A.C. Stark Hamiltonian are closely related to that for the self-adjoint operator on torus. In this paper we use Mourre’s commutator method, which makes great progress for the study of time-independent Hamiltonian. By use of it we show the asymptotic behavior of the unitary propagator as σ → ± ∞.
A Function Algebra on Riemann Surfaces
Authors: Nakai Mitsuru 
Published: July 2016

In this note, we treat the problem to determine the conformal structure of the closed surface by the structure of the differentiable function algebra as the normed algebra with a certain norm.A similar investigation is found in Myers [1]. He concerns himself with determining the Riemannian structure of the compact manifold using a certain normed algebra of differentiable functions.
Limit theorems for hitting times of 1-dimensional generalized diffusions
Authors: Tomisaki Matsuyo , Yamazato Makoto 
Published: July 2016

Abstract.Limit theorems are obtained for suitably normalized hitting times of single points for 1-dimensional generalized diffusion processes as the hitting points tend to boundaries under an assumption which is slightly stronger than that the existence of limits γ + 1 of the ratio of the mean and the variance of the hitting time. Laplace transforms of limit distributions are modifications of Bessel functions. Results are classified by the one parameter {γ}, each of which is the degree of corresponding Bessel function. In case the limit distribution is degenerate to one point, by changing the normalization, we obtain convergence to the normal distribution. Regarding the starting point as a time parameter, we obtain convergence in finite dimensional distributions to self-similar processes with independent increments under slightly stronger assumption.
The theory of KM2O-Langevin equations and its applications to data analysis (III): Deterministic analysis
Authors: Okabe Yasunori , Yamane Toshiyuki 
Published: July 2016

Abstract.A technique is given for detecting deterministic dynamics in time series. Some stochastic difference equations, called KM2O-Langevin equations, are extracted directly from given data. We can find deterministic dynamics in time series by evaluating the magnitude of innovation part of the KM2O-Langevin equations. We can further find chaotic dynamics in time series by predicting it from the viewpoint of the theory of KM2O-Langevin equations.We apply our method to the data of measles and chicken pox, which are also treated by G. Sugihara and R.M. May in [1]. The result of numerical experiments indicates that there seem to exist some deterministic dynamics in both time series. It also suggests, however, that the data of measles seems to be chaotic while that of chicken pox not, which corresponds to the result of G. Sugihara and R.M. May.
Distribution of length spectrum of circles on a complex hyperbolic space
Authors: Adachi Toshiaki 
Published: July 2016

AbstractIt is well-known that all geodesics on a Riemannian symmetric space of rank one are congruent each other under the action of isometry group. Being concerned with circles, we also know that two closed circles in a real space form are congruent if and only if they have the same length. In this paper we study how prime periods of circles on a complex hyperbolic space are distributed on a real line and show that even if two circles have the same length and the same geodesic curvature they are not necessarily congruent each other.
Twisted Maaß–Koecher series and spinor zeta functions
Authors: Breulmann Stefan , Kohnen Winfried 
Published: July 2016

AbstractIt is shown that a Siegel-Hecke eigenform of integral weight k and genus 2 is uniquely determined by its Fourier coefficients indexed by nT where T runs over all half-integral positive definite primitive matrices of size 2 and n over all squarefree positive integers. The proof uses analytic arguments involving Koecher-Maaß series and spinor zeta functions.
Complete system of finite order for the embeddings of pseudo-hermitian manifolds into ℂN+1
Authors: Kim Sung-Yeon 
Published: July 2016

AbstractLet (M, ν, θ) be a real analytic (2n+1)-dimensional pseudo-hermitian manifold with nondegenerate Levi form and F be a pseudo-hermitian embedding into ℂn+1. We show under certain generic conditions that F satisfies a complete system of finite order. We use a method of prolongation of the tangential Cauchy-Riemann equations and pseudo-hermitian embedding equation. Thus if F ∈ Ck(M) for sufficiently large k, F is real analytic. As a corollary, if M is a real hypersurface in ℂn+1, then F extends holomorphically to a neighborhood of M provided that F is sufficiently smooth.
Quotients of L-functions
Authors: Heim Bernhard E. 
Published: July 2016

AbstractIn this paper a certain type of Dirichlet series, attached to a pair of Jacobi forms and Siegel modular forms is studied. It is shown that this series can be analyzed by a new variant of the Rankin-Selberg method. We prove that for eigenforms the Dirichlet series have an Euler product and we calculate all the local L-factors. Globally this Euler product is essentially the quotient of the standard L-functions of the involved Jacobi- and Siegel modular form.