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4 papers · 2 filters
Counting equilibria of large complex systems by instability index
Gérard Ben Arous, Yan V Fyodorov, Boris A Khoruzhenko
We consider a nonlinear autonomous system of degrees of freedom randomly coupled by both relaxational ('gradient') and non-relaxational ('solenoidal') random interactions.…
Motion by curvature and large deviations for an interface dynamics on
B. Dagallier
We study large deviations for a Markov process on curves in mimicking the motion of an interface. Our dynamics can be tuned with a parameter , which plays the rol…
The large-time and vanishing-noise limits for entropy production in nondegenerate diffusions
Renaud Raquépas
We investigate the behaviour of a family of entropy production functionals associated to stochastic differential equations of the form $\mathrm{d} X_s = -\nabla V(X_s) \, \mathrm{d…
Magnetic confinement at a boundary approximates specular reflection
Katherine Zhiyuan Zhang
We conjecture that for a plasma in a spatial domain with a boundary, the specular reflection effect of the boundary can be approximated by a large magnetic confinement field in the…