Vojkan Jaksic

TL;DR: In this article , the authors formulated the problem of approach to equilibrium in algebraic quantum statistical mechanics and studied some of its structural aspects, focusing on the relation between the zeroth law of thermodynamics (approach to equilibrium) and the second law (increase in entropy).

TL;DR: In this paper, the authors study the motion of a particle in a random time-dependent vector field defined by the 2D Navier-Stokes system with a noise and prove that the empirical measures of the trajectories of the pair (velocity field, particle) satisfy the level-3 LDP with a good rate function.

TL;DR: In this article, the authors studied the linear homological equation on the circle T and showed that if the Fourier coefficients ofv satisfy for some then for Lebesgue a belongs to.

TL;DR: In this paper, the mathematical theory of entropy production in repeated quantum measurement processes developed in a previous work by studying examples of quantum instruments displaying various interesting phenomena and singularities is discussed, and connections with other, a priori unrelated topics like functions of Markov chains, hidden Markov models, matrix products and number theory.

TL;DR: In this paper, the authors studied non-equilibrium statistical mechanics of a Gaussian dynamical system and computed the large deviation function describing the fluctuations of the entropy production observable with respect to the reference state and the nonequilibrium steady state.