3 papers
math.PR2026
Fractional Macroscopic Fluctuation Theory for a Superdiffusive Ginzburg-Landau dynamics
Cedric Bernardin, Patricia Gonçalves, João Pedro Mangi
We investigate a boundary-driven Ginzburg-Landau dynamics with long-range interactions. In the hydrodynamic limit, the macroscopic evolution is governed by a fractional heat equati…
math.PR2025
Spiking and Resetting
Cédric Bernardin, Vsevolod Vladimirovich Tarsamaev
We consider a one-dimensional piecewise deterministic Markov process (PDMP) on with resetting at and depending on a small parameter . In the singular van…
quant-ph2025
Spikes in Poissonian quantum trajectories
Alan Sherry, Cedric Bernardin, Abhishek Dhar +2
We consider the dynamics of a continuously monitored qubit in the limit of strong measurement rate where the quantum trajectory is described by a stochastic master equation with Po…