A transport process on graphs and its limiting distributions
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Applied Probability"
DOI: 10.1017/jpr.2022.47
Abstract: Abstract Given a finite strongly connected directed graph $G=(V, E)$ , we study a Markov chain taking values on the space of probability measures on V. The chain, motivated by biological applications in the context… read more here.
Keywords: process graphs; transport process; graphs limiting; limiting distributions ... See more keywords
Limiting distributions of translates of divergent diagonal orbits
Sign Up to like & getrecommendations! Published in 2019 at "Compositio Mathematica"
DOI: 10.1112/s0010437x19007450
Abstract: We define a natural topology on the collection of (equivalence classes up to scaling of) locally finite measures on a homogeneous space and prove that in this topology, pushforwards of certain infinite-volume orbits equidistribute in… read more here.
Keywords: limiting distributions; translates divergent; topology; divergent diagonal ... See more keywords
On Weak Limiting Distributions for Random Walks on a Spider
Sign Up to like & getrecommendations! Published in 2020 at "Symmetry"
DOI: 10.3390/sym12122000
Abstract: In this article, we study random walks on a spider that can be established from the classical case of simple symmetric random walks. The primary purpose of this article is to establish a functional central… read more here.
Keywords: walks spider; distributions random; weak limiting; random walks ... See more keywords