20 citations · 32 across the 9 of their papers we have counts for
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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…
Landau-Lifshitz-Navier-Stokes Equations: Large Deviations and Relationship to The Energy Equality
Benjamin Gess, Daniel Heydecker, Zhengyan Wu
The dynamical large deviations principle for the three-dimensional incompressible Landau-Lifschitz-Navier-Stokes equations is shown, in the joint scaling regime of vanishing noise…
The Porous Medium Equation: Large Deviations and Gradient Flow with Degenerate and Unbounded Diffusion
Benjamin Gess, Daniel Heydecker
The problem of deriving a gradient flow structure for the porous medium equation which is {\em thermodynamic}, in that it arises from the large deviations of some microscopic parti…
Large Deviations of Kac's Conservative Particle System and Energy Non-Conserving Solutions to the Boltzmann Equation: A Counterexample to the Predicted Rate Function
Daniel Heydecker
We consider the dynamic large deviation behaviour of Kac's collisional process for a range of initial conditions including equilibrium. We prove an upper bound with a rate function…
Kac's Process with Hard Potentials and a Moderate Angular Singularity
Daniel Heydecker
We investigate Kac's many-particle stochastic model of gas dynamics in the case of hard potentials with a moderate angular singularity, and show that the noncutoff particle system…
Bilinear Coagulation Equations
Daniel Heydecker, Robert I. A. Patterson
We consider coagulation equations of Smoluchowski or Flory type where the total merge rate has a bilinear form for a vector of conserved quantities , generalis…
Pathwise Convergence of the Hard Spheres Kac Process
Daniel Heydecker
We derive two estimates for the deviation of the -particle, hard-spheres Kac process from the corresponding Boltzmann equation, measured in expected Wasserstein distance. Partic…