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4 papers · 2 filters
Slow energy dissipation in anharmonic oscillator chains
Martin Hairer, Jonathan C. Mattingly
We study the dynamic behavior at high energies of a chain of anharmonic oscillators coupled at its ends to heat baths at possibly different temperatures. In our setup, each oscilla…
Spatial random permutations and infinite cycles
Volker Betz, Daniel Ueltschi
We consider systems of spatial random permutations, where permutations are weighed according to the point locations. Infinite cycles are present at high densities. The critical den…
C^*-algebraic approach to the Bose-Hubbard model
Stefan Adams, Tony Dorlas
We give a new derivation of the variational formula for the pressure of the long-range-hopping Bose-Hubbard model, which was first proved in \cite{BD}. The proof is analogous to th…
Gibbs measures with double stochastic integrals on a path space
Volker Betz, Fumio Hiroshima
We investigate Gibbs measures relative to Brownian motion in the case when the interaction energy is given by a double stochastic integral. In the case when the double stochastic i…