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math.PR2026
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…
math.PR2026
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…