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math-ph2013★ 12 cited
A limit theorem at the spectral edge for corners of time-dependent Wigner matrices
Sasha Sodin
For the eigenvalues of principal submatrices of stochastically evolving Wigner matrices, we construct and study the edge scaling limit: a random decreasing sequence of continuous f…
math-ph2013
Positive temperature versions of two theorems on first-passage percolation
Sasha Sodin
The estimates on the fluctuations of first-passsage percolation due to Talagrand (a tail bound) and Benjamini--Kalai--Schramm (a sublinear variance bound) are transcribed into the…