random walk of second class particles in product shock measures we consider shock measures in a class of conserving stochastic particle systems on these shock measures have a product structure with a step like density profile and include a second class particle at the shock position we show for the asymmetric simple exclusion process for the exponential bricklayers process and for a generalized zero range process that under certain conditions these shocks and therefore the second class particles perform a simple random walk some previous results including random walks of product shock measures and stationary shock measures seen from a second class particle are direct consequences of our more general theorem multiple shocks can also be handled easily in this framework similar shock structure is also found in a nonconserving model the branching coalescing random walk where the role of the second class particle is played by the rightmost or leftmost particle

power stable aggregation functions we discuss and exemplify binary power stable aggregation functions on the interval 0 1 i e log ratio invariant aggregation functions for continuous power stable aggregation functions we introduce several methods of constructing dependence functions we also study dependence functions yielding symmetry idempotency and some other properties finally continuous associative power stable aggregation functions are completely characterized

owa generation function and some adjustment methods for owa operators with application we propose the concept of ordered weighted averaging owa generation function with some properties illustrative examples and usages a number of new properties of owa operators and relations between some well known owa operators are proposed and proved using owa generation functions we discuss some orness andness adjustment methods for a predetermined owa operator a practical application about investment prediction problem is given with detailed illustration and analysis which can show the advantages of the adjustment methods proposed in this paper in particular the concept consistent adjustment matrix is proposed and the interests and advantages of it can be shown by its special properties

a c density theorem for differential inclusions with lipschitz continuous right hand sides abstract by definition solutions of differential inclusions are absolutely continuous functions with l 1 derivatives we prove that at least for a class of lipschitz continuous right hand sides the c solutions are dense in the set of all solutions with respect to the supremum norm

shock fluctuations in asymmetric simple exclusion the one dimensional nearest neighbors asymmetric simple exclusion process in used as a microscopic approximation to the burgers equation we study the process with rates of jumpsp q to the right and left respectively and with initial product measure with densities to the left and right of the origin respectively with shock initial conditions we prove that a second class particle added to the system at the origin at time zero identifies microscopically the shock for all later times if this particle is added at another site then it describes the behavior of a characteristic of the burgers equation for vanishing left density 0 we prove in the scale t1 2 that the position of the shock at timet depends only on the initial configuration in a region depending ont the proofs are based on laws of large numbers for the second class particle

microscopic shape of shocks in a domain growth model considering the hydrodynamical limit of some interacting particle systems leads to hyperbolic differential equation for the conserved quantities e g the inviscid burgers equation for the simple exclusion process the physical solutions of these partial differential equations develop discontinuities called shocks the microscopic structure of these shocks is of much interest and far from being well understood we introduce a domain growth model in which we find a stationary in time product measure for the model as seen from a defect tracer or second class particle traveling with the shock we also show that under some natural assumptions valid for a wider class of domain growth models no other model has stationary product measure as seen from the moving defect tracer

applying logistic regression to relevance feedback in image retrieval systems this paper deals with the problem of image retrieval from large image databases a particularly interesting problem is the retrieval of all images which are similar to one in the user s mind taking into account his her feedback which is expressed as positive or negative preferences for the images that the system progressively shows during the search here we present a novel algorithm for the incorporation of user preferences in an image retrieval system based exclusively on the visual content of the image which is stored as a vector of low level features the algorithm considers the probability of an image belonging to the set of those sought by the user and models the logit of this probability as the output of a generalized linear model whose inputs are the low level image features the image database is ranked by the output of the model and shown to the user who selects a few positive and negative samples repeating the process in an iterative way until he she is satisfied the problem of the small sample size with respect to the number of features is solved by adjusting several partial generalized linear models and combining their relevance probabilities by means of an ordered averaged weighted operator experiments were made with 40 users and they exhibited good performance in finding a target image 4 iterations on average in a database of about 4700 images the mean number of positive and negative examples is of 4 and 6 per iteration a clustering of users into sets also shows consistent patterns of behavior

generalizations of owa operators owa operators can be seen as symmetrized weighted arithmetic means as choquet integrals with respect to symmetric measures or as comonotone additive functionals following these three different looks on owas we discuss several already known generalizations of owa operators including gowa iowa oma operators as well as we propose new types of such generalizations

multiple shocks in bricklayers model in bricklayers model which is a generalization of the misanthrope processes we show that a nontrivial class of product distributions is closed under the time evolution of the process this class also includes measures fitting to shock data of the limiting pde in particular we show that shocks of this type with discontinuity of size one perform ordinary nearest neighbor random walks only interacting in an attractive way via their jump rates our results are related to those of belitsky and schutz 4 on the simple exclusion process although we do not use quantum formalism as they do the structures we find are described from a fixed position similar ones were found in balazs 2 valak as seen from the random position of the second class particle

how to initialize a second class particle we identify the ballistically and diffusively rescaled limit distribution of the second class particle position in a wide range of asymmetric and symmetric interacting particle systems with established hydrodynamic behavior respectively including zero range misanthrope and many other models the initial condition is a step profile which in some classical cases of asymmetric models gives rise to a rarefaction fan scenario we also point out a model with nonconcave nonconvex hydrodynamics where the rescaled second class particle distribution has both continuous and discrete counterparts the results follow from a substantial generalization of ferrari and kipnis arguments ann inst h poincare 31 1995 143 154 for the totally asymmetric simple exclusion process the main novelty is the introduction of a signed coupling measure as initial data which nevertheless results in a proper probability initial distribution for the site of the second class particle and makes the extension possible we also reveal in full generality a very interesting invariance property of the one site marginal distribution of the process underneath the second class particle which in particular proves the intrinsicality of our choice for the initial distribution finally we give a lower estimate on the probability of survival of a second class particle antiparticle pair

existence of the zero range process and a deposition model with superlinear growth rates we give a construction of the zero range and bricklayers processes in the totally asymmetric attractive case the novelty is that we allow jump rates to grow exponentially earlier constructions have permitted at most linearly growing rates we also show the invariance and extremality of a natural family of i i d product measures indexed by particle density extremality is proved with an approach that is simpler than existing ergodicity proofs

invariant measures for a two species asymmetric process we consider a process of two classes of particles jumping on a one dimensional lattice the marginal system of the first class of particles is the one dimensional totally asymmetric simple exclusion process when classes are disregarded the process is also the totally asymmetric simple exclusion process the existence of a unique invariant measure with product marginals with density and for the first and first plus second class particles respectively was shown by ferrari kipnis and saada recently derrida janowsky lebowitz and speer have computed this invariant measure for finite boxes and performed the infinite volume limit based on this computation we give a complete description of the measure and derive some of its properties in particular we show that the invariant measure for the simple exclusion process as seen from a second class particle with asymptotic densities and is equivalent to the product measure with densities to the left of the origin and to the right of the origin

generalized phi transformations of aggregation functions abstract in this paper we present a new method of construction of aggregation functions based on the so called bijective chains that generalizes the standard isomorphic transforms of aggregation functions it covers among others several known construction methods such as the construction of copulas based on ultramodular copulas or particular ordinal sums of aggregation functions e g of t norms copulas t conorms several properties of the proposed construction method are discussed and exemplified

aggregation of owa operators inspired by the real needs of group decision problems aggregation of ordered weighted averaging owa operators is studied and discussed our results can be applied for data acting on any real interval such as the standard scales 0 1 and 0 infty bipolar scales 1 1 and mathbb r infty infty etc a direct aggregation is shown to be rather restrictive allowing the convex combinations to be considered only except the case of dimension n 2 more general is the approach based on the aggregation of related cumulative weighting vectors the piecewise linearity of owa operators allows us to consider bilinear forms of aggregation of related weighting vectors several interesting examples yielding the link between the aggregation of owa operators and the related andness and orness measures are also included some possible applications and generalizations of our results are also discussed

fluctuation bounds in the exponential bricklayers process this paper is the continuation of our earlier paper balazs et al in ann inst henri poincare probab stat 48 1 151 187 2012 where we proved t1 3 order of current fluctuations across the characteristics in a class of one dimensional interacting systems with one conserved quantity we also claimed two models with concave hydrodynamic flux which satisfied the assumptions which made our proof work in the present note we show that the totally asymmetric exponential bricklayers process also satisfies these assumptions hence this is the first example with convex hydrodynamics of a model with t1 3 order current fluctuations across the characteristics as such it further supports the idea of universality regarding this scaling

processus des misanthropes we consider a system of identical interacting particles moving on the lattice d the rate at which a particle at the site x jumps to the site y is p y x b x y where p is an irreducible probability on d and b x y is an increasing resp decreasing function of the number x resp y of particles at site x resp y we study the convergence of the system to equilibrium and describe the invariant measures

existence of hydrodynamics for the totally asymmetric simple k exclusion process in a totally asymmetric simple k exclusion process particles take nearest neighbor steps to the right on the lattice z under the constraint that each site contain at most k particles we prove that such processes satisfy hydrodynamic limits under euler scaling and that the limit of the empirical particle profile is the entropy solution of a scalar conservation law with a concave flux function our technique requires no knowledge of the invariant measures of the process which is essential because the equilibria of asymmetric k exclusion are unknown but we cannot calculate the flux function precisely the proof proceeds via a coupling with a growth model on the two dimensional lattice in addition to the basic k exclusion with constant exponential jump rates we treat the site disordered case where each site has its own jump rate randomly chosen but frozen for all time the hydrodynamic limit under site disorder is new even for the simple exclusion process the case k 1 our proof makes no use of the markov property so at the end of the paper we indicate how to treat the case with arbitrary waiting times

between equilibrium fluctuations and eulerian scaling perturbation of equilibrium for a class of deposition models we investigate propagation of perturbations of equilibrium states for a wide class of 1d interacting particle systems the class of systems considered incorporates zero range k exclusion misanthropic bricklayers models and much more we do not assume attractivity of the interactions we apply yau s relative entropy method rather than coupling arguments the result is partial extension of t seppalainen s recent paper for 0 1 5 fixed we prove that rescaling microscopic space and time by n respectively n1 the macroscopic evolution of perturbations of microscopic order n of the equilibrium states is governed by burgers equation the same statement should hold for 0 1 2 as in seppalainen s cited paper but our method does not seem to work for 1 5

q zero range has random walking shocks but no other surprises in the zero range world we check all nearest neighbour 1 dimensional asymmetric zero range processes for random walking product shock measures as demonstrated already for a few cases in the literature we find the totally asymmetric version of the celebrated q zero range process as the only new example besides an already known model of doubly infinite occupation numbers and exponentially increasing jump rates we also examine the interaction of shocks which appears somewhat more involved for q zero range than in the already known cases

shock profiles for the asymmetric simple exclusion process in one dimension the asymmetric simple exclusion process asep on a one dimensional lattice is a system of particles which jump at rates p and 1 p here p 1 2 to adjacent empty sites on their right and left respectively the system is described on suitable macroscopic spatial and temporal scales by the inviscid burgers equation the latter has shock solutions with a discontinuous jump from left density rho to right density rho rho sqrt rho 1 rho rho 1 rho for a special value of the asymmetry given by p 1 p rho 1 rho rho 1 rho the measure is bernoulli with density rho on the left and rho on the right in the weakly asymmetric limit 2p 1 to0 the microscopic width of the shock diverges as 2p 1 1 the stationary measure is then essentially a superposition of bernoulli measures corresponding to a convolution of a density profile described by the viscous burgers equation with a well defined distribution for the location of the second class particle