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20222026
most citedMetastability in a Stochastic System of Spiking Neurons with Leakage

3 citations · 4 across the 7 of their papers we have counts for

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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…

math.PR2025

Nonparametric estimation of the jump rate in mean field interacting systems of neurons

Aline Duarte, Kadmo Laxa, Eva Löcherbach +1

We consider finite systems of interacting neurons described by non-linear Hawkes processes in a mean field frame. Neurons are described by their membrane potential. They spike…

math.PR2024

Propagation of chaos and phase transition in a stochastic model for a social network

Eva Löcherbach, Kádmo Laxa

We consider a model for a social network with N interacting social actors. This model is a system of interacting marked point processes in which each point process indicates the su…

math.PR2022★ 3 cited

Metastability in a Stochastic System of Spiking Neurons with Leakage

Kádmo de S. Laxa

We consider a finite system of interacting point processes with memory of variable length modeling a finite but large network of spiking neurons with two different leakage mechanis…

math.PR2022★ 1 cited

Fast Consensus and Metastability in a Highly Polarized Social Network

Antonio Galves, Kádmo Laxa

A polarized social network is modeled as a system of interacting marked point processes with memory of variable length. Each point process indicates the successive times in which a…