Attractors of semigroups associated with nonlinear systems for diffusive phase separation.
Averaged large deviations for random walk in a random environment
In his 2003 paper, Varadhan proves the averaged large deviation principle for the mean velocity of a particle taking a nearest-neighbor random walk in a uniformly elliptic i.i.d. environment on ℤd with d≥1, and gives a variational formula for the corresponding rate function Ia. Under Sznitman’s transience condition (T), we show that Ia is strictly convex and analytic on a non-empty open set , and that the true velocity of the particle is an element (resp. in the boundary) of when the walk is non-nestling...
Bäcklund transformation for the BC-type Toda lattice.
Bernouilli and Gibbs Probabilities of Subgroups of {0, 1} s.
Bethe Ansatz and the geography of rigged strings
We demonstrate the way in which composition of two famous combinatorial bijections, of Robinson-Schensted and Kerov-Kirillov-Reshetikhin, applied to the Heisenberg model of magnetic ring with spin 1/2, defines the geography of rigged strings (which label exact eigenfunctions of the Bethe Ansatz) on the classical configuration space (the set of all positions of the system of r reversed spins). We point out that each l-string originates, in the language of this bijection, from an island of l consecutive...
Bethe ansatz, inverse scattering transform and tropical Riemann theta function in a periodic soliton cellular automaton for .
Bethe ansatz solutions of the Bose-Hubbard dimer.
Bethe ansatz solutions to quasi exactly solvable difference equations.
Billiards: models with chaotic dynamics.
Bipartite mean field spin systems. Existence and solution.
Boltzmann Asymptotics with Diffuse Reflection Boundary Conditions.
Boltzmann-Gibbs entropy: Axiomatic characterization and application.
Boundary value problems for the ellipsoidal statistical equation.
Boundary value problems for the stationary Vlasov-Maxwell system.
Bounding a random environment bounding a random environment for two-dimensional edge-reinforced random walk.
Bounding the partition function of spin-systems.
Bounds on the zeros of a renormalization group fixed point.
Bouteilles magnétiques et supraconductivité
Branching processes, and random-cluster measures on trees
Random-cluster measures on infinite regular trees are studied in conjunction with a general type of ‘boundary condition’, namely an equivalence relation on the set of infinite paths of the tree. The uniqueness and non-uniqueness of random-cluster measures are explored for certain classes of equivalence relations. In proving uniqueness, the following problem concerning branching processes is encountered and answered. Consider bond percolation on the family-tree of a branching process. What is the...
Breaking the symmetry of a circular system of coupled harmonic oscillators.