Srinivasa Ramanujan (1887-1920) and the theory of partitions of numbers and statistical mechanics. A centennial tribute.
Stability and convergence of an effective numerical method for the time-space fractional Fokker-Planck equation with a nonlinear source term.
Stability of a transport equation
Stability of hydrodynamic model for semiconductor
In this paper we study the stability of transonic strong shock solutions of the steady state one-dimensional unipolar hydrodynamic model for semiconductors in the isentropic case. The approach is based on the construction of a pseudo-local symmetrizer and on the paradifferential calculus with parameters, which combines the work of Bony-Meyer and the introduction of a large parameter.
Stability of matter in classical and quantized fields.
Stability of solitary waves for a system of nonlinear Schrödinger equations with three wave interaction
Stable defects of minimizers of constrained variational principles
Standard stochastic coalescence with sum kernels.
Stationary measures and phase transition for a class of probabilistic cellular automata
We discuss various properties of Probabilistic Cellular Automata, such as the structure of the set of stationary measures and multiplicity of stationary measures (or phase transition) for reversible models.
Stationary measures and phase transition for a class of Probabilistic Cellular Automata
We discuss various properties of Probabilistic Cellular Automata, such as the structure of the set of stationary measures and multiplicity of stationary measures (or phase transition) for reversible models.
Stationary solutions of the generalized Smoluchowski-Poisson equation
The existence of steady states in the microcanonical case for a system describing the interaction of gravitationally attracting particles with a self-similar pressure term is proved. The system generalizes the Smoluchowski-Poisson equation. The presented theory covers the case of the model with diffusion that obeys the Fermi-Dirac statistic.
Stationary states of a gas in a radiation field from a kinetic point of view
Stationary voltage current characteristics of a plasma
Statiscal polymer method: Modeling of macromolecules and aggregates with branching and crosslinking formed in random processes.
Statistical mechanics of the N-point vortex system with random intensities on a bounded domain
Statistical properties of Markov dynamical sources: applications to information theory.
Steady states for a fragmentation equation with size diffusion
The existence of a one-parameter family of stationary solutions to a fragmentation equation with size diffusion is established. The proof combines a fixed point argument and compactness techniques.
Steady tearing mode instabilities with a resistivity depending on a flux function
Steady tearing mode instabilities with a resistivity depending on a flux function
We consider plasma tearing mode instabilities when the resistivity depends on a flux function (ψ), for the plane slab model. This problem, represented by the MHD equations, is studied as a bifurcation problem. For so doing, it is written in the form (I(.)-T(S,.)) = 0, where T(S,.) is a compact operator in a suitable space and S is the bifurcation parameter. In this work, the resistivity is not assumed to be a given quantity (as usually done in previous papers, see [1,2,5,7,8,9,10], but it depends...
Stein’s method in high dimensions with applications
Let be a three times partially differentiable function on , let be a collection of real-valued random variables and let be a multivariate Gaussian vector. In this article, we develop Stein’s method to give error bounds on the difference in cases where the coordinates of are not necessarily independent, focusing on the high dimensional case . In order to express the dependency structure we use Stein couplings, which allows for a broad range of applications, such as classic occupancy,...