Quasi-stationary distribution for Hamiltonian dynamics with singular potentials

نویسندگان

چکیده

In this work, we prove the existence and uniqueness of a quasi-stationary distribution for hypoelliptic Hamiltonian dynamics system N particles in $${\mathbb {R}}^d$$ interacting with Lennard-Jones type potentials or repulsive Coulomb potentials.

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ژورنال

عنوان ژورنال: Probability Theory and Related Fields

سال: 2022

ISSN: ['0178-8051', '1432-2064']

DOI: https://doi.org/10.1007/s00440-022-01154-9