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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...
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.
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...
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...
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...
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...
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...
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 ...
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...

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