On coarse-grained entropy and mixing in statistical mechanics.
On nonperturbative localization with quasi-periodic potential.
On relations between additive and multiplacative clustering operators
On the concept of the asymptotic Rényi distances for random fields
The asymptotic Rényi distances are explicitly defined and rigorously studied for a convenient class of Gibbs random fields, which are introduced as a natural infinite-dimensional generalization of exponential distributions.
On the non-convexity of the time constant in first-passage percolation.
On the zero-temperature or vanishing viscosity limit for certain Markov processes arising from Lagrangian dynamics
We study the zero-temperature limit for Gibbs measures associated to Frenkel–Kontorova models on . We prove that equilibrium states concentrate on configurations of minimal energy, and, in addition, must satisfy a variational principle involving metric entropy and Lyapunov exponents, a bit like in the Ruelle–Pesin inequality. Then we transpose the result to certain continuous-time stationary stochastic processes associated to the viscous Hamilton–Jacobi equation. As the viscosity vanishes, the...
One-dimensional vertex models associated with a class of Yangian invariant Haldane-Shastry like spin chains.
Osiris wavelets and set wavelets.