3 papers
math.PR2024
Log-concavity in one-dimensional Coulomb gases and related ensembles
Jnaneshwar Baslingker, Manjunath Krishnapur, Mokshay Madiman
We prove log-concavity of the lengths of the top rows of Young diagrams under Poissonized Plancherel measure. This is the first known positive result towards a 2008 conjecture of C…
math.PR2024
The Paquette-Zeitouni law of fractional logarithms for the GUE minor process and the Plancherel growth process
Jnaneshwar Baslingker, Riddhipratim Basu, Sudeshna Bhattacharjee +1
It is well-known that the largest eigenvalue of an GUE matrix and the length of a longest increasing subsequence in a uniform random permutation of length , both con…
math.PR2022
On Hadamard powers of Random Wishart matrices
Jnaneshwar Baslingker
A famous result of Horn and Fitzgerald is that the -th Hadamard power of any positive semi-definite (p.s.d) matrix with non-negative entries is p.s.d $\forall β\geq…