17 citations · 64 across the 23 of their papers we have counts for
5 papers · 2 filters
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…
Interacting systems of infinite spiking neurons with weights beyond uniform summability
Ioannis Papageorgiou
We consider an infinite system of spiking neurons with a drift and both excitatory and inhibitory connections. We study conditions for non-explosiveness and the uniqueness of the i…
The log-Sobolev inequality for spin systems of higher order interactions
Takis Konstantopoulos, Ioannis Papageorgiou
We study the infinite-dimensional log-Sobolev inequality for spin systems on with interactions of power higher than quadratic. We assume that the one site measure wi…
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…