4 papers
The Efron-Stein inequality for identically distributed pairs
Jnaneshwar Baslingker, Bálint Virág
We prove that the classical Efron--Stein inequality holds for independent exchangeable pairs \((X_i,Y_i)\). The same inequality fails for independent identically distributed pairs;…
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…
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…
Stochastic domination in beta ensembles
Jnaneshwar Baslingker
We give a stochastic comparison and ordering of the largest eigenvalues, with parameter , for Hermite -ensembles and Laguerre -ensembles. Although stochastic comparison…