14 citations · 57 across the 43 of their papers we have counts for
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Extremal process of the zero-average Gaussian Free Field for
Sayan Das, Rajat Subhra Hazra
We consider the Gaussian free field on the torus whose covariance kernel is given by the zero-average Green's function. We show that for dimension , the extremal point proc…
The scaling limit of the -model
Alessandra Cipriani, Biltu Dan, Rajat Subhra Hazra
In this article we study the scaling limit of the interface model on where the Hamiltonian is given by a mixed gradient and Laplacian interaction. We show that in an…
Spectra of Adjacency and Laplacian Matrices of Inhomogeneous Erdős-Rényi Random Graphs
Arijit Chakrabarty, Rajat Subhra Hazra, Frank den Hollander +1
Inhomogeneous Erdős-Rényi random graphs on vertices in the non-dense regime are considered in this paper. The edge between the pair of vertices is retai…
Regular variation and free regular infinitely divisible laws
Arijit Chakrabarty, Sukrit Chakraborty, Rajat Subhra Hazra
In this article the relation between the tail behaviours of a free regular infinitely divisible (positively supported) probability measure and its Lévy measure is studied. An impor…
A note on the folklore of free independence
Arijit Chakrabarty, Sukrit Chakraborty, Rajat Subhra Hazra
It is shown that a Wishart matrix of standard complex normal random variables is asymptotically freely independent of an independent random matrix, under minimal conditions, in two…
The scaling limit of the membrane model
Alessandra Cipriani, Biltu Dan, Rajat Subhra Hazra
On the integer lattice we consider the discrete membrane model, a random interface in which the field has Laplacian interaction. We prove that, under appropriate rescaling, the dis…