Assaf Shapira

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math.PR2026

A Thomson-type variational principle for diffusion coefficients

Assaf Shapira

We consider reversible interacting particle systems with conserved number of particles. A standard variational formulation describes the diffusion coefficient of such models as the…

math.PR2026

Hydrodynamic limit of the directed exclusion process

Ellen Saada, Federico Sau, Assaf Shapira

We derive the Euler (hyperbolic) hydrodynamic limit for the directed exclusion process (DEP), a one-dimensional conservative interacting particle system that preserves particle-hol…

math.PR2024

Relaxation time and topology in 1D $O (N)$ models

We discuss the relaxation time (inverse spectral gap) of the one dimensional $O (N)$ model, for all $N$ and with two types of boundary conditions. We see how its low temperature asy…

A Thomson-type variational principle for diffusion coefficients

Hydrodynamic limit of the directed exclusion process

Relaxation time and topology in 1D O(N) models

Relaxation time and topology in 1D $O (N)$ models