18 citations · 59 across the 17 of their papers we have counts for
18 papers
Perturbative criteria for the ergodicity of interacting dissipative quantum lattice systems
Lorenzo Bertini, Alberto De Sole, Gustavo Posta +1
We introduce a class of quantum Markov semigroups describing the evolution of interacting quantum lattice systems, specified either as generic qudits or as fermions. The correspond…
Trace distance ergodicity for quantum Markov semigroups
Lorenzo Bertini, Alberto De Sole, Gustavo Posta
We discuss the quantitative ergodicity of quantum Markov semigroups in terms of the trace distance from the stationary state, providing a general criterion based on the spectral de…
Quantitative ergodicity for the symmetric exclusion process with stationary initial data
L. Bertini, N. Cancrini, G. Posta
We consider the symmetric exclusion process on the -dimensional lattice with translational invariant and ergodic initial data. It is then known that as diverges the distribu…
Mixing time for the Repeated Balls into Bins dynamics
Nicoletta Cancrini, Gustavo Posta
We estimate the mixing time of the a nonreversible finite Markov chain called Repeated Balls-into-Bins (RBB) process. This process is a discrete time conservative interacting parti…
Propagation of chaos for a General Balls into Bins dynamics
Nicoletta Cancrini, Gustavo Posta
Consider balls initially placed in bins. At each time step take a ball from each non-empty bin and \emph{randomly} reassign the balls into the bins.We call this finite Mark…
Propagation of Chaos for a Balls into Bins Model
Nicoletta Cancrini, Gustavo Posta
Consider a finite number of balls initially placed in bins. At each time step a ball is taken from each non-empty bin. Then all the balls are uniformly reassigned into bins. Th…