16 citations · 53 across the 6 of their papers we have counts for
6 papers
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…
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…
Stability of large complex systems with heterogeneous relaxation dynamics
Pierre Mergny, Satya N. Majumdar
We study the probability of stability of a large complex system of size within the framework of a generalized May model, which assumes a linear dynamics of each population size…
Rank one HCIZ at high temperature: interpolating between classical and free convolutions
Pierre Mergny, Marc Potters
We study the rank one Harish-Chandra-Itzykson-Zuber integral in the limit where , called the high temperature regime and show that it can be used to construct…
Asymptotic behavior of the multiplicative counterpart of the Harish-Chandra integral and the -transform
Pierre Mergny, Marc Potters
In this note, we study the asymptotic of spherical integrals, which are analytical extension in index of the normalized Schur polynomials for , and of Jack symmetric polynomi…
Statistical physics of interacting proteins: impact of dataset size and quality assessed in synthetic sequences
Carlos A. Gandarilla-Pérez, Pierre Mergny, Martin Weigt +1
Identifying protein-protein interactions is crucial for a systems-level understanding of the cell. Recently, algorithms based on inverse statistical physics, e.g. Direct Coupling A…