3 papers
math.AP2026
Subdiffusive fractional limit of a jump-renewal equation
Hugues Berry, Pierre Gabriel, Thomas Lepoutre +1
In this paper, we consider an age-structured jump model that arises as a description of continuous time random walks with infinite mean waiting time between jumps. We prove that un…
physics.bio-ph2026
Geometric Origin of Exact Mean-Field Reductions: M{ö}bius Symmetry and the Lorentzian Ansatz
Hugues Berry, Leonardo Trujillo
Low-dimensional descriptions of large systems of coupled oscillators and spiking neurons rely heavily on the Lorentzian Ansatz. We show that its privileged role is geometric rather…
nlin.AO2025
Particle-Based Framework for Continuous Fields of Coupled Phase Oscillators: Exploring Spontaneous Local Synchronization
Hugues Berry, Jan-Michael Rye, Leonardo Trujillo
We introduce a particle-based framework inspired by smoothed particle hydrodynamics (SPH) to simulate the dynamics of a continuous field of coupled phase oscillators. This methodol…