Moderate deviations in a random graph and for the spectrum of Bernoulli random matrices.

Döring, Hanna; Eichelsbacher, Peter

Displaying similar documents to “Moderate deviations in a random graph and for the spectrum of Bernoulli random matrices.”

Factorization representations in the boundary crossing problems for random walks on a Markov chain.

Lotov, V.I., Orlova, N.G. (2005)

Sibirskij Matematicheskij Zhurnal

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On some actuarial models involving sums of dependent risk.

Vernic, Raluca (2002)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

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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).

On separation of eigenvalues by the permutation group

Grega Cigler, Marjan Jerman (2014)

Special Matrices

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Let A be an invertible 3 × 3 complex matrix. It is shown that there is a 3 × 3 permutation matrix P such that the product PA has at least two distinct eigenvalues. The nilpotent complex n × n matrices A for which the products PA with all symmetric matrices P have a single spectrum are determined. It is shown that for a n × n complex matrix [...] there exists a permutation matrix P such that the product PA has at least two distinct eigenvalues.