On chaotic dynamics in rational polygonal billiards.
On classical solutions of the relativistic Vlasov-Klein-Gordon system.
On coarse-grained entropy and mixing in statistical mechanics.
On conservative and entropic discrete axisymmetric Fokker-Planck operators
On constrained annealed bounds for pinning and wetting models.
On differentiability of the Parisi formula.
On disagreement percolation and maximality of the critical value for iid percolation.
On fully practical finite element approximations of degenerate Cahn-Hilliard systems
We consider a model for phase separation of a multi-component alloy with non-smooth free energy and a degenerate mobility matrix. In addition to showing well-posedness and stability bounds for our approximation, we prove convergence in one space dimension. Furthermore an iterative scheme for solving the resulting nonlinear discrete system is analysed. We discuss also how our approximation has to be modified in order to be applicable to a logarithmic free energy. Finally numerical experiments with...
On fully practical finite element approximations of degenerate Cahn-Hilliard systems
We consider a model for phase separation of a multi-component alloy with non-smooth free energy and a degenerate mobility matrix. In addition to showing well-posedness and stability bounds for our approximation, we prove convergence in one space dimension. Furthermore an iterative scheme for solving the resulting nonlinear discrete system is analysed. We discuss also how our approximation has to be modified in order to be applicable to a logarithmic free energy. Finally numerical experiments...
On global smooth solutions to the 3D Vlasov–Nordström system
On global solutions for the Vlasov-Poisson system.
On local smooth solutions for the Vlasov equation with the potential of interactions .
On long range percolation with heavy tails.
On multiply connected mesoscopic superconducting structures
On nonperturbative localization with quasi-periodic potential.
On numerical solution to the problem of reactor kinetics with delayed neutrons by Monte Carlo method
In this paper, the linear problem of reactor kinetics with delayed neutrons is studied whose formulation is based on the integral transport equation. Besides the proof of existence and uniqueness of the solution, a special random process and random variables for numerical elaboration of the problem by Monte Carlo method are presented. It is proved that these variables give an unbiased estimate of the solution and that their expectations and variances are finite.
On Prigogine's approaches to irreversibility: a case study by the baker map.
On quantum fields and systems with ordered ground state.
On quantum informational thermodynamics with macrostates defined with respect to several operators [Book]
On quenched and annealed critical curves of random pinning model with finite range correlations
This paper focuses on directed polymers pinned at a disordered and correlated interface. We assume that the disorder sequence is a -order moving average and show that the critical curve of the annealed model can be expressed in terms of the Perron–Frobenius eigenvalue of an explicit transfer matrix, which generalizes the annealed bound of the critical curve for i.i.d. disorder. We provide explicit values of the annealed critical curve for and and a weak disorder asymptotic in the general case....