3 papers
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.CV2025
On the area of polynomial lemniscates
Manjunath Krishnapur, Erik Lundberg, Koushik Ramachandran
Erdös posed in 1940 the extremal problem of studying the minimal area of the lemniscate of a monic polynomial of degree all of whose zeros are in the closed…
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…