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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…
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…