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math.PR2026
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.PR2025
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.PR2024
Stationary random measures : Covariance asymptotics, variance bounds and central limit theorems
Manjunath Krishnapur, D. Yogeshwaran
We consider covariance asymptotics for linear statistics of general stationary random measures in terms of their truncated pair correlation measure. We give exact infinite series-e…