177 citations · 1.1k across the 93 of their papers we have counts for
7 papers · 1 filter
Gibbs-non-Gibbs dynamical transitions for mean-field interacting Brownian motions
Frank den Hollander, Frank Redig, Willem van Zuijlen
We consider a system of real-valued spins interacting with each other through a mean-field Hamiltonian that depends on the empirical magnetization of the spins via a general potent…
On the effect of perturbation of conditional probabilities in total variation
Alessandro Abate, Frank Redig, Ilya Tkachev
A celebrated result by A. Ionescu Tulcea provides a construction of a probability measure on a product space given a sequence of regular conditional probabilities. We study how the…
Hamiltonian and Lagrangian for the trajectory of the empirical distribution and the empirical measure of Markov processes
Frank Redig, Feijia Wang
We compute the Hamiltonian and Lagrangian associated to the large deviations of the trajectory of the empirical distribution for independent Markov processes, and of the empirical…
Thermodynamic formalism and large deviations for multiplication-invariant potentials on lattice spin systems
J. -R. Chazottes, F. Redig
We introduce the multiplicative Ising model and prove basic properties of its thermodynamic formalism such as existence of pressure and entropies. We generalize to one-dimensional…
Coupling independent walkers and the inclusion process
Alex Opoku, Frank Redig
We show propagation of local equilibrium for the symmetric inclusion process (SIP) after diffusive rescaling of space and time, as well as the local equilibrium property of the non…
Duality and stationary distributions of wealth distribution models
Pasquale Cirillo, Frank Redig, Wioletta Ruszel
We analyze a class of energy and wealth redistribution models. We characterize their stationary measures and show that they have a discrete dual process. In particular we show that…