61 citations · 174 across the 27 of their papers we have counts for
5 papers · 1 filter
Quantitative logarithmic Sobolev inequalities and stability estimates
Max Fathi, Emanuel Indrei, Michel Ledoux
We establish an improved form of the classical logarithmic Sobolev inequality for the Gaussian measure restricted to probability densities which satisfy a Poincaré inequality. The…
A gradient flow approach to large deviations for diffusion processes
Max Fathi
In this work, we investigate links between the formulation of the flow of marginals of reversible diffusion processes as gradient flows in the space of probability measures and pat…
Hydrodynamic limit for conservative spin systems with super-quadratic, partially inhomogeneous single-site potential
Max Fathi, Georg Menz
We consider an interacting unbounded spin system, with conservation of the mean spin. We derive quantitative rates of convergence to the hydrodynamic limit provided the single-site…
The two-scale approach to hydrodynamic limits for non-reversible dynamics
Manh Hong Duong, Max Fathi
In a recent paper by Grunewald et.al., a new method to study hydrodynamic limits was developed for reversible dynamics. In this work, we generalize this method to a family of non-r…
Error analysis of the transport properties of Metropolized schemes
Max Fathi, A. -A. Homman, G. Stoltz
We consider in this work the numerical computation of transport coefficients for Brownian dynamics. We investigate the discretization error arising when simulating the dynamics wit…