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math.PR2026
Metastability and phase transition in a social network model with multiple opinions
Felipe Penafiel, Kádmo Laxa
We consider a stochastic opinion dynamics model on a fully connected social network with actors interacting by expressing opinions from a set of opinions. At any time $t\ge…
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.PR2025
A new look at perfect simulation for chains with infinite memory
Emilio De Santis, Kádmo Laxa, Eva Löcherbach
In this article we introduce two new perfect simulation algorithms for chains with infinite memory. Both algorithms belong to the coupling of past procedures. The novelty of our ap…