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Showing 2007 · math.PRShow all
3 papers · 2 filters
math.PR2007★ 1 cited
The spectrum of heavy-tailed random matrices
Gerard Ben Arous, Alice Guionnet
Let be an $N\ts N$ random symmetric matrix with independent equidistributed entries. If the law of the entries has a finite second moment, it was shown by Wigner \cite{wi…
math.PR2007★ 55 cited
The law of the supremum of a stable Lévy process with no negative jumps
Violetta Bernyk, Robert C. Dalang, Goran Peskir
Let be a stable Lévy process of index with no negative jumps and let denote its running supremum for . We show that t…
math.PR2007★ 1 cited
Hitting probabilities for systems of non-linear stochastic heat equations with multiplicative noise
Robert C. Dalang, Davar Khoshnevisan, Eulalia Nualart
We consider a system of d non-linear stochastic heat equations in spatial dimension 1 driven by d-dimensional space-time white noise. The non-linearities appear both as additive dr…