Random graph-homomorphisms and logarithmic degree.
Random hysteresis loops
Dynamical hysteresis is a phenomenon which arises in ferromagnetic systems below the critical temperature as a response to adiabatic variations of the external magnetic field. We study the problem in the context of the mean-field Ising model with Glauber dynamics, proving that for frequencies of the magnetic field oscillations of order , the size of the system, the “critical” hysteresis loop becomes random.
Random Integrals and Type and Cotype of Banach Space.
Random integrals of Banach space valued functions
Random -sat: the limiting probability for satisfiability for moderately growing .
Random linear functionals and random integrals
Random lines and tessellations in a plane.
Our purpose is the study of the so called mixed random mosaics, formed by superposition of a given tesellation, not random, of congruent convex polygons and a homogeneous Poisson line process. We give the mean area, the mean perimeter and the mean number of sides of the polygons into which such mosaics divide the plane.
Random mappings, forests, and subsets associated with Abel-Cayley-Hurwitz multinomial expansions.
Random Markov Mappings.
Random matching problems on the complete graph.
Random matrices and -theory for exact -algebras.
Random matrices and permutations, matrix integrals and integrable systems
Random matrices, magic squares and matching polynomials.
Random matrices, non-colliding processes and queues
Random measures and harmonizable sequences
Random modulation of solitons for the stochastic Korteweg–de Vries equation
Random -ary sequence and mapping uniformly distributed
Višek [3] and Culpin [1] investigated infinite binary sequence with taking values or at random. They investigated also real mappings which have the uniform distribution on (notation ). The problem for -ary sequences is dealt with in this paper.
Random networks with sublinear preferential attachment: degree evolutions.
Random noise and perturbation of copulas
For a random vector characterized by a copula we study its perturbation characterizing the random vector affected by a noise independent of both and . Several examples are added, including a new comprehensive parametric copula family .
Random orders and gambler's ruin.