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most citedCorrelation functions of the open XXZ chain I

109 citations

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5 papers · 1 filter

math.PR2008

On the singularity of random matrices with independent entries

Laurent Bruneau, Francois Germinet

We consider n by n real matrices whose entries are non-degenerate random variables that are independent but non necessarily identically distributed, and show that the probability t…

math.PR2007★ 2 cited

Infinite Products of Random Matrices and Repeated Interaction Dynamics

Laurent Bruneau, Alain Joye, Marco Merkli

Let be a product of independent, identically distributed random matrices , with the properties that is bounded in , and that has a deterministic (constant…

math.PR2006★ 83 cited

Level crossings and other level functionals of stationary Gaussian processes

Marie F. Kratz

This paper presents a synthesis on the mathematical work done on level crossings of stationary Gaussian processes, with some extensions. The main results [(factorial) moments, repr…

math.PR2005★ 2 cited

Limiting search cost distribution for the move-to-front rule with random request probabilities

Javiera Barrera, Thierry Huillet, Christian Paroissin

Consider a list of files whose popularities are random. These files are updated according to the move-to-front rule and we consider the induced Markov chain at equilibrium. We…

math.PR2004★ 33 cited

Large deviations for processes with discontinuous statistics

Irina Ignatiouk-Robert

This paper is devoted to the problem of sample path large deviations for the Markov processes on R_+^N having a constant but different transition mechanism on each boundary set {x:…