Tagged particle limit for a Fleming-Viot type system.
Tail estimates for homogenization theorems in random media
Consider a random environment in given by i.i.d. conductances. In this work, we obtain tail estimates for the fluctuations about the mean for the following characteristics of the environment: the effective conductance between opposite faces of a cube, the diffusion matrices of periodized environments and the spectral gap of the random walk in a finite cube.
Teorie dynamických systémů
Test for submodel in Gibbs-Markov binary random sequence
Tetrahedron equation and the algebraic geometry
The 6 vertex model and Schubert polynomials.
The Aizenman-Sims-Starr and Guerra's schemes for the SK model with multidimensional spins.
The algebraic Bethe Ansatz and vacuum vectors.
The Arcsine law as the limit of the internal DLA cluster generated by Sinai’s walk
We identify the limit of the internal DLA cluster generated by Sinai’s walk as the law of a functional of a brownian motion which turns out to be a new interpretation of the Arcsine law.
The Bethe lattice spin glass at zero temperature
The Boltzmann-Enskog equation with large data; wellposedness and regularity
The classical limit of relativistic extended thermodynamics
The continuous Coupled Cluster formulation for the electronic Schrödinger equation
Nowadays, the Coupled Cluster (CC) method is the probably most widely used high precision method for the solution of the main equation of electronic structure calculation, the stationary electronic Schrödinger equation. Traditionally, the equations of CC are formulated as a nonlinear approximation of a Galerkin solution of the electronic Schrödinger equation, i.e. within a given discrete subspace. Unfortunately, this concept prohibits the direct application of concepts of nonlinear numerical analysis...
The discrete-time parabolic Anderson model with heavy-tailed potential
We consider a discrete-time version of the parabolic Anderson model. This may be described as a model for a directed -dimensional polymer interacting with a random potential, which is constant in the deterministic direction and i.i.d. in the orthogonal directions. The potential at each site is a positive random variable with a polynomial tail at infinity. We show that, as the size of the system diverges, the polymer extremity is localized almost surely at one single point which grows ballistically....
The equivalence of the log-Sobolev inequality and a mixing condition for unbounded spin systems on the lattice
The -invariance of the Potts Hamiltonian.
The grazing collisions asymptotics of the non cut-off Kac equation
The incipient infinite cluster in high-dimensional percolation.
The initial value problem for nonlinear Boltzmann equation
The integrated density of states for an interacting multiparticle homogeneous model and applications to the Anderson model.