Classification of subfactors: the reduction to commuting squares.
Clusters in middle-phase percolation on hyperbolic plane
I consider p-Bernoulli bond percolation on transitive, nonamenable, planar graphs with one end and on their duals. It is known from [BS01] that in such a graph G we have three essential phases of percolation, i.e. , where is the critical probability and -the unification probability. I prove that in the middle phase a.s. all the ends of all the infinite clusters have one-point boundaries in ∂ℍ². This result is similar to some results in [Lal].
Coarse graining, fractional moments and the critical slope of random copolymers.
Coarse-graining schemes and a posteriori error estimates for stochastic lattice systems
The primary objective of this work is to develop coarse-graining schemes for stochastic many-body microscopic models and quantify their effectiveness in terms of a priori and a posteriori error analysis. In this paper we focus on stochastic lattice systems of interacting particles at equilibrium. The proposed algorithms are derived from an initial coarse-grained approximation that is directly computable by Monte Carlo simulations, and the corresponding numerical error is calculated using the...
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...
Combinatorial analysis of magnetic configurations.
Combinatorics and cluster expansions.
Combinatorics of the three-parameter PASEP partition function.
Combinatorics of tripartite boundary connections for trees and dimers.
Combined analysis of two- and three-particle correlations in -Bose gas model.
Combining stochastic and deterministic approaches within high efficiency molecular simulations
Generalized Shadow Hybrid Monte Carlo (GSHMC) is a method for molecular simulations that rigorously alternates Monte Carlo sampling from a canonical ensemble with integration of trajectories using Molecular Dynamics (MD). While conventional hybrid Monte Carlo methods completely re-sample particle’s velocities between MD trajectories, our method suggests a partial velocity update procedure which keeps a part of the dynamic information throughout the simulation. We use shadow (modified) Hamiltonians,...
Competing particle systems and the Ghirlanda-Guerra identities.
Complete asymptotics for correlations of Laplace integrals in the semi-classical limit
Computer simulation of the atomic behaviour in condensed phases.
Computer simulation of the atomic behaviour in condensed phases.
Molecular dynamics simulation method for the study of condensed phases of matter is described in this paper. Computer programs for the simulation of atomic motion have been developed. Time-saving techniques, like the cellular method have been incorporated in order to optimize the available computer resources. We have applied this method to the simulation of Argon near its melting point. Differences in the structure, thermodynamic properties and time correlation functions of solid and liquid phases...
Computer-assisted proofs for fixed point problems in Sobolev spaces.
Confinement of the two dimensional discrete Gaussian free field between two hard walls.
Construction of the Bethe state for the elliptic quantum group.
Continuous and discrete (classical) Heisenberg spin chain revised.
Controlling Griffiths' singularities