light cone bounds 1Lindblad equation 1Markov dynamics 1open quantum systems 1propagation estimates 1
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math.AP2026
Diffusion bounds for non-autonomous degenerate parabolic equations
Marius Lemm, Israel Michael Sigal, Jingxuan Zhang
We prove the Davies-Gaffney (i.e., integrated Nash-Aronson) type diffusive upper bounds on the propagators of parabolic equations in -sense for all . Our appr…
math.AP2025
The FitzHugh-Nagumo system on undulated cylinders: spontaneous symmetrization and effective system
Georgia Karali, Konstantinos Tzirakis, Israel Michael Sigal
We consider the FitzHugh-Nagumo system on undulated cylindrical surfaces modeling nerve axons. We show that for sufficiently small radii and for initial conditions close to radiall…