Coalescing Markov labelled partitions and a continuous sites genetics model with infinitely many types
Coarse graining, fractional moments and the critical slope of random copolymers.
Coarsening, nucleation, and the marked brownian web
Coexistence probability in the last passage percolation model is
A competition model on between three clusters and governed by directed last passage percolation is considered. We prove that coexistence, i.e. the three clusters are simultaneously unbounded, occurs with probability . When this happens, we also prove that the central cluster almost surely has a positive density on . Our results rely on three couplings, allowing to link the competition interfaces (which represent the borderlines between the clusters) to some particles in the multi-TASEP, and...
Collision local times, historical stochastic calculus, and competing superprocesses.
Collision probabilities in the rarefaction fan of asymmetric exclusion processes
We consider the one-dimensional asymmetric simple exclusion process (ASEP) in which particles jump to the right at rate p∈(1/2, 1] and to the left at rate 1−p, interacting by exclusion. In the initial state there is a finite region such that to the left of this region all sites are occupied and to the right of it all sites are empty. Under this initial state, the hydrodynamical limit of the process converges to the rarefaction fan of the associated Burgers equation. In particular suppose that the...
Combinatorics and cluster expansions.
Competing particle systems and the Ghirlanda-Guerra identities.
Competing species superprocesses with infinite variance.
Comportement asymptotique de l'énergie libre spécifique. Application à l'ergodicité et au recuit simulé en dimension infinie
Comportement asymptotique d'un système infini de particules additif sur Z
Comportement hydrodynamique et entropie relative des processus de sauts, de naissances et de morts
Confinement of the two dimensional discrete Gaussian free field between two hard walls.
Connectivity bounds for the vacant set of random interlacements
The model of random interlacements on ℤd, d≥3, was recently introduced in [Vacant set of random interlacements and percolation. Available at http://www.math.ethz.ch/u/sznitman/preprints]. A non-negative parameter u parametrizes the density of random interlacements on ℤd. In the present note we investigate connectivity properties of the vacant set left by random interlacements at level u, in the non-percolative regime u>u∗, with u∗ the non-degenerate critical parameter for the percolation...
Constructing quantum dissipations and their reversible states from classical interacting spin systems
Controlling Griffiths' singularities
Convergence of a “Gibbs-Boltzmann” random measure for a typed branching diffusion
Convergence of coalescing nonsimple random walks to the Brownian web.
Convergence of critical oriented percolation to super-brownian motion above dimensions
Convergence of lattice trees to super-Brownian motion above the critical dimension.