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cond-mat.stat-mech2022
An explicit example for the high temperature convolution: crossover between the binomial law and the arcsine law
Pierre Mergny
In this note, we study the high-temperature convolution introduced in Ref.\ \cite{mergny_cconv}, between two symmetric Bernoulli distributions. We give an analytical expression for…
math-ph2022★ 4 cited
Right large deviation principle for the top eigenvalue of the sum or product of invariant random matrices
Pierre Mergny, Marc Potters
In this note we study the right large deviation of the top eigenvalue (or singular value) of the sum or product of two random matrices and as their dimens…