20 citations · 32 across the 9 of their papers we have counts for
13 papers
Low-Temperature Large Deviations for the Two-Dimensional Wick-Ordered Cubic Wave Equation
Daniel Heydecker
We prove a trajectory large deviation principle, in the low-temperature limit, for the two-dimensional Wick-ordered defocusing cubic nonlinear wave equation, with initial data draw…
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…
Delving Into Deep Walkers: A Convergence Analysis of Random-Walk-Based Vertex Embeddings
Dominik Kloepfer, Angelica I. Aviles-Rivero, Daniel Heydecker
Graph vertex embeddings based on random walks have become increasingly influential in recent years, showing good performance in several tasks as they efficiently transform a graph…
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…