S-asymptotic expansion of distribution.
Self-stabilizing processes: uniqueness problem for stationary measures and convergence rate in the small-noise limit
In the context of self-stabilizing processes, that is processes attracted by their own law, living in a potential landscape, we investigate different properties of the invariant measures. The interaction between the process and its law leads to nonlinear stochastic differential equations. In [S. Herrmann and J. Tugaut. Electron. J. Probab. 15 (2010) 2087–2116], the authors proved that, for linear interaction and under suitable conditions, there exists a unique symmetric limit measure associated...
Self-stabilizing processes: uniqueness problem for stationary measures and convergence rate in the small-noise limit
In the context of self-stabilizing processes, that is processes attracted by their own law, living in a potential landscape, we investigate different properties of the invariant measures. The interaction between the process and its law leads to nonlinear stochastic differential equations. In [S. Herrmann and J. Tugaut. Electron. J. Probab. 15 (2010) 2087–2116], the authors proved that, for linear interaction and under suitable conditions, there...
Semiclassical analysis and a new result for Poisson-Lev́y excursion measures.
Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model.
Semiclassical quantization of circular billiard in homogeneous magnetic field: Berry-Tabor approach.
Simultaneous approximation by a class of Bernstein-Durrmeyer operators preserving linear functions
We introduce and study a one-parameter class of positive linear operators constituting a link between the well-known operators of S. N. Bernstein and their genuine Bernstein-Durrmeyer variants. Several limiting cases are considered including one relating our operators to mappings investigated earlier by Mache and Zhou. A recursion formula for the moments is proved and estimates for simultaneous approximation of derivatives are given.
Simultaneous approximation by a class of linear positive operators.
Some properties of asymptotic functions
Structural Theorems for Quasiasymptotics of Distributions at Infinity