5 papers
Pathological Large Deviations of the KMP Process in Dimension
Daniel Heydecker
We study dynamic large deviations for the Kipnis--Marchioro--Presutti process on the discrete torus . By recasting the candidate rate function in terms of a linear…
Large Spikes in Stochastic Gradient Descent: A Large-Deviations View
Benjamin Gess, Daniel Heydecker
Large loss spikes in stochastic gradient descent are studied through a rigorous large-deviations analysis for a shallow, fully connected network in the NTK scaling. In contrast to…
The Porous Medium Equation: Multiscale Integrability in Large Deviations
Benjamin Gess, Daniel Heydecker
We consider a zero-range process with superlinear local jump rate, which in a hydrodynamic-small particle rescaling converges to the porous medium equation $\partial_t…
Matching Large Deviation Bounds of the Zero-Range Process in the whole space
Benjamin Fehrman, Benjamin Gess, Daniel Heydecker
We consider the large deviations of the hydrodynamic rescaling of the zero-range process on in any dimension . Under mild and canonical hypotheses on the loc…
Large time analysis of the rate function associated to the Boltzmann equation: dynamical phase transitions
Giada Basile, Dario Benedetto, Lorenzo Bertini +1
We analyse the large time behaviour of the rate function that describes the probability of large fluctuations of an underlying microscopic model associated to the homogeneous Boltz…