4 papers
Asymptotic Analysis of the Elephant Random Walk
Cristian F. Coletti, Ioannis Papageorgiou
In this work we study asymptotic properties of a long range memory random walk known as elephant random walk. First we prove recurrence and positive recurrence for the elephant ran…
Modified log-Sobolev inequality for a compact PJMP with degenerate jumps
Ioannis Papageorgiou
We study the modified log-Sobolev inequality for a class of pure jump Markov processes that describe the interactions between brain neurons. In particular, we focus on a finite and…
Concentration and Poincaré type inequalities for a degenerate pure jump Markov process
Pierre Hodara, Ioannis Papageorgiou
We study Talagrand concentration and Poincaré type inequalities for unbounded pure jump Markov processes. In particular we focus on processes with degenerate jumps that depend on t…
Poincaré type inequalities for compact degenerate pure jump Markov processes
Pierre Hodara, Ioannis Papageorgiou
We aim in proving Poincaré inequalities for a class of pure jump Markov processes inspired by the model introduced in \cite{G-L} by Galves and Löcherbach to describe the behaviour…