Random systems in ultrametric spaces
Sign Up to like & getrecommendations! Published in 2018 at "Advances in Applied Probability"
DOI: 10.1017/apr.2018.72
Abstract: Abstract We discuss percolation and random walks in a class of homogeneous ultrametric spaces together with similarities and differences in ultrametric and Euclidean spaces. We briefly outline the role of these models in the study… read more here.
Keywords: ultrametric spaces; random systems; systems ultrametric;
Invariant densities for random systems of the interval
Sign Up to like & getrecommendations! Published in 2020 at "Ergodic Theory and Dynamical Systems"
DOI: 10.1017/etds.2020.127
Abstract: Abstract For random piecewise linear systems T of the interval that are expanding on average we construct explicitly the density functions of absolutely continuous T-invariant measures. If the random system uses only expanding maps our… read more here.
Keywords: random systems; systems interval; invariant densities; densities random ... See more keywords
Liouville’s equations for random systems
Sign Up to like & getrecommendations! Published in 2021 at "Stochastic Analysis and Applications"
DOI: 10.1080/07362994.2021.1980015
Abstract: Given a random system, a Liouville’s equation is an exact partial differential equation that describes the evolution of the probability density function of the solution. In this article, we derive ... read more here.
Keywords: equations random; random systems; liouville equations;
Matching for random systems with an application to minimal weight expansions
Sign Up to like & getrecommendations! Published in 2020 at "Nonlinearity"
DOI: 10.1088/1361-6544/abebc6
Abstract: We extend the notion of matching for one-dimensional dynamical systems to random matching for random dynamical systems on an interval. We prove that for a large family of piecewise affine random systems of the interval… read more here.
Keywords: random matching; random systems; systems application; application minimal ... See more keywords