2 citations · 4 across the 10 of their papers we have counts for
11 papers
Optimal upper tail estimates for the edge eigenvalues of -ensembles
Jnaneshwar Baslingker
Hermite and Laguerre -ensembles are important and well studied models in random matrix theory, with the special cases corresponding to classical matrix ensembles. Alth…
On the monotonicity of average singular values of complex Gaussian random matrices
Jnaneshwar Baslingker, Biltu Dan
We prove that the normalized -th moment of the Laguerre unitary ensemble, as a function of the dimension, is decreasing for fixed and increasing for f…
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…
Optimal tail estimates in -ensembles and applications to last passage percolation
Jnaneshwar Baslingker, Riddhipratim Basu, Sudeshna Bhattacharjee +1
Hermite and Laguerre -ensembles are important and well studied models in random matrix theory with special cases corresponding to eigenvalues of classical random matri…
Partial divisibility of random sets and powers of completely monotone functions
Jnaneshwar Baslingker, Biltu Dan
In this article, we study exponents which preserve complete monotonicity of functions on lattices. We prove that for any completely monotone function on a finite lattice, …
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 re…
Scaling limits and universality: Critical percolation on weighted graphs converging to an graphon
Jnaneshwar Baslingker, Shankar Bhamidi, Nicolas Broutin +2
We develop a general universality technique for establishing metric scaling limits of critical random discrete structures exhibiting mean-field behavior that requires four ingredie…
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…
On Hadamard powers of positive semi-definite matrices
Jnaneshwar Baslingker, Biltu Dan
Consider the set of scalars for which the th Hadamard power of any positive semi-definite (p.s.d.) matrix with non-negative entries is p.s.d. It is known that th…