14 citations · 26 across the 5 of their papers we have counts for
5 papers · 1 filter
The Pathwise Approach to Metastability and its Applications to Galves--Löcherbach Models
Morgan André, Kádmo Laxa
Metastability is the tendency of a system to dwell for a very long time near an apparently stable equilibrium before a rare fluctuation drives it, on a comparatively short time sca…
Estimates on Escape Times for the Elephant Random Walk
Morgan André, Leonel Zuaznábar
We study the gambler's ruin problem for the Elephant Random Walk, focusing on escape time from a symmetric interval of the form . As our main result, we derive t…
Convergence of the Temporal Averages of a Metastable System of Spiking Neurons
Morgan André
We consider a stochastic system of spiking neurons which was previously proven to present a metastable behavior for a suitable choice of the parameter, in the sense that the time o…
The Effect of Graph Connecitivity on Metastability on a Stochastic System of Spiking Neurons
Morgan André, Léo Planche
We consider a continuous-time stochastic model of spiking neurons. In this model, we have a finite or countable number of neurons which are vertices in some graph where the edg…
A Result of Metastability for an Infinite System of Spiking Neurons
Morgan André
In 2018, Ferrari et al. wrote a paper called "Phase Transition for Infinite Systems of Spiking Neurons" in which they introduced a continuous time stochastic model of interacting n…