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Unique Ergodicity for Fractionally Dissipated, Stochastically Forced 2D Euler Equations
Unique Ergodicity Fractionally Dissipated Stochastically Forced 2D Euler Equations
2014/4/3
We establish the existence and uniqueness of an ergodic invariant measure for 2D fractionally dissipated stochastic Euler equations on the periodic box, for any power of the dissipation term.
A Mermin--Wagner theorem for quantum Gibbs states on 2D graphs, I
quantum bosonic system with continuous spins symmetry group the Feynman–Kac representation bi-dimensional graphs Gibbs states
2012/6/25
This is the the first of a series of papers considering properties of quantum systems over 2D graphs or manifolds, with continuous spins. In the model considered here the phase space of a single spin ...
Semi-infinite paths of the 2d-Radial Spanning Tree
stochastic geometry random tree semi-infinite path asymptotic direction competition interface
2012/6/9
We study semi-infinite paths of the radial spanning tree (RST) of a Poisson point process in the plane. We first show that the expectation of the number of intersection points between semi-infinite pa...