56 citations · 238 across the 48 of their papers we have counts for
5 papers · 1 filter
The stochastic six vertex model and discrete orthogonal polynomial ensembles
Promit Ghosal, Guilherme L. F. Silva
Stochastic growth models in the Kardar-Parisi-Zhang (KPZ) universality class exhibit remarkable fluctuation phenomena. While a variety of powerful methods have led to a detailed un…
Proof of Zamolodchikov conjecture for semi-classical conformal blocks on the torus
Harini Desiraju, Promit Ghosal, Andrei Prokhorov
In 1986, Zamolodchikov conjectured an exponential structure for the semi-classical limit of conformal blocks on a sphere. This paper provides a rigorous proof of the analog of Zamo…
Universality for multiplicative statistics of Hermitian random matrices and the integro-differential Painlevé II equation
Promit Ghosal, Guilherme L. F. Silva
We study multiplicative statistics for the eigenvalues of unitarily-invariant Hermitian random matrix models. We consider one-cut regular polynomial potentials and a large class of…
On Spatial Conditioning of the Spectrum of Discrete Random Schrödinger Operators
Pierre Yves Gaudreau Lamarre, Promit Ghosal, Yuchen Liao
Consider a random Schrödinger-type operator of the form acting on a general graph , where is the generator of a Markov proce…
Spectral rigidity of random Schrödinger operators via Feynman-Kac formulas
Pierre Yves Gaudreau Lamarre, Promit Ghosal, Yuchen Liao
We develop a technique for proving number rigidity (in the sense of Ghosh-Peres) of the spectrum of general random Schrödinger operators (RSOs). Our method makes use of Feynman-Kac…