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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…