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Asymptotics and local constancy of characters of p-adic groups
Quantitative theory constancy characters subgroups structure
2015/8/25
In this paper we initiate a quantitative theory of trace characters of reductive p-adic groups when the representation varies. Our approach is based on the local constancy of characters and we su...
Asymptotics of the Solutions of the Random Schrödinger Equation
Asymptotics of the Solutions Random Schrö dinger Equation
2015/7/14
We consider solutions of the Schrödinger equation with a weak time-dependent random potential. It is shown that when the two-point correlation function of the potential is rapidly decaying, then ...
We introduce two new heuristic ideas concerning the spectrum of a Laplacian,and we give theorems and conjectures from the realms of manifolds, graphs and fractals that validate these heuristics.
Small time asymptotics for stochastic evolution equations
Stochastic partial differential equations small time asymp-totics
2011/1/18
We obtain a large deviation principle describing the small time asymp-totics of the solution of a stochastic evolution equation with multiplicative noise. Our assumptions are a condition on the linear...
Comparisons and asymptotics for empty space hazard functions of germ-grain models
germ-grain model empty space hazard rate spherical distance
2011/1/21
We study stochastic properties of the empty space for stationary germ-grain models in Rd, in particular we deal with the inner radius of the empty space with respect to a general structuring element w...
Asymptotics of orthogonal polynomials and point perturbation on the unit circle
point masses bounded variation asymptotics of orthog-onal polynomials Kooman’s theorem
2010/12/1
In the first five sections, we deal with the class of probability measures with asymptotically periodic Verblunsky co-efficients of p-type bounded variation. The goal is to investigate
the perturbati...
Spectral asymptotics for Robin problems with a discontinuous coefficient
Spectral asymptotics for Robin problems discontinuous coefficient
2010/11/30
The spectral behavior of the difference between the resolvents of two realizations of a second-order strongly elliptic symmetric differential operator A defined by different Robin conditions u = b1 0...
Asymptotics of the Gelfand models of the symmetric groups
Asymptotics Gelfand models symmetric groups
2010/12/9
If a partition of size n is chosen randomly according to the Plancherel measure Pn[] =
(dim )2=n!, then as n goes to infinity, the rescaled shape of is with high probability very close to a non...
Asymptotics of multiple orthogonal polynomials for a system of two measures supported on a starlike set
Higher-order recurrences Nikishin systems ratio asymptotics nth root asymptotics
2010/11/29
For a system of two measures supported on a starlike set in the complex plane, we study asymptotic properties of associated multiple orthogonal polynomials Qn and their recurrence coefficients. These ...
Degenerate self-similar measures, spectral asymptotics and small deviations of Gaussian processes
Degenerate self-similar measures spectral asymptotics small deviations of Gaussian processes
2010/12/1
The problem of small ball behavior for the norms of Gaussian processes is intensively studied
in recent years. The simplest and most explored case is that of L2-norm. Let us consider a
Gaussian proc...