517 citations · 706 across the 27 of their papers we have counts for
28 papers
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…
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…
Stationary random measures : Covariance asymptotics, variance bounds and central limit theorems
Manjunath Krishnapur, D. Yogeshwaran
We consider covariance asymptotics for linear statistics of a general stationary random measure in terms of its truncated pair correlation measure. These asymptotics are particular…
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…
Inradius of random lemniscates
Manjunath Krishnapur, Erik Lundberg, Koushik Ramachandran
A classically studied geometric property associated to a complex polynomial is the inradius (the radius of the largest inscribed disk) of its (filled) lemniscate $Λ:= \{z \in \…