Poisson boundary of triangular matrices in a number field

Bruno Schapira

Displaying similar documents to “Poisson boundary of triangular matrices in a number field”

The Poisson boundary of random rational affinities

Sara Brofferio (2006)

Annales de l’institut Fourier

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We prove that in order to describe the Poisson boundary of rational affinities, it is necessary and sufficient to consider the action on real and all $p$ -adic fileds.

Exchangeable pairs and Poisson approximation.

Chatterjee, Sourav, Diaconis, Persi, Meckes, Elizabeth (2005)

Probability Surveys [electronic only]

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Multi-Hamiltonian structures on Beauville's integrable system and its variant.

Inoue, Rei, Konishi, Yukiko (2007)

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Compound Poisson approximation for extremes of moving minima in arrays of independent random variables

Jadwiga Dudkiewicz (1998)

Applicationes Mathematicae

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We present conditions sufficient for the weak convergence to a compound Poisson distribution of the distributions of the kth order statistics for extremes of moving minima in arrays of independent random variables.

Poisson approximation for sums of dependent Bernoulli random variables.

Teerapabolarn, Kanint, Neammanee, Kritsana (2006)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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Isotropic random walks on affine buildings

James Parkinson (2007)

Annales de l’institut Fourier

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In this paper we apply techniques of spherical harmonic analysis to prove a local limit theorem, a rate of escape theorem, and a central limit theorem for isotropic random walks on arbitrary thick regular affine buildings of irreducible type. This generalises results of Cartwright and Woess where ${\tilde{A}}_{n}$ buildings are studied, Lindlbauer and Voit where ${\tilde{A}}_{2}$ buildings are studied, and Sawyer where homogeneous trees are studied (these are ${\tilde{A}}_{1}$ buildings).

Boundary value problems for the Vlasov-Maxwell system.

Sinitsyn, Alexander V., Dulov, Eugene V. (2007)

Revista Colombiana de Matemáticas

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The spectrum of Schrödinger operators with random $δ$ magnetic fields

Takuya Mine, Yuji Nomura (2009)

Annales de l’institut Fourier

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We shall consider the Schrödinger operators on $ℝ^{2}$ with the magnetic field given by a nonnegative constant field plus random $δ$ magnetic fields of the Anderson type or of the Poisson-Anderson type. We shall investigate the spectrum of these operators by the method of the admissible potentials by Kirsch-Martinelli. Moreover, we shall prove the lower Landau levels are infinitely degenerated eigenvalues when the constant field is sufficiently large, by estimating the growth order of the eigenfunctions...