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5 papers · 2 filters
Hausdorff dimension of the SLE curve intersected with the real line
Tom Alberts, Scott Sheffield
We establish an upper bound on the asymptotic probability of an SLE(kappa) curve hitting two small intervals on the real line as the interval width goes to zero, for the range 4 <…
Large deviations for random walk in a space--time product environment
Atilla Yilmaz
We consider random walk on in a space--time product environment . We take the point of view of the particle and focus on the environment Mark…
Biased random walks on a Galton-Watson tree with leaves
Gérard Ben Arous, Alexander Fribergh, Nina Gantert +1
We consider a biased random walk on a Galton-Watson tree with leaves in the sub-ballistic regime. We prove that there exists an explicit constant , dependi…
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…
A Proof of a Non-Commutative Central Limit Theorem by the Lindeberg Method
Vladislav Kargin
A Central Limit Theorem for non-commutative random variables is proved using the Lindeberg method. The theorem is a generalization of the Central Limit Theorem for free random vari…