3 citations · 5 across the 9 of their papers we have counts for
7 papers · 1 filter
On the Properties of a Bernoulli--Uniform Boolean Convolution Family
Sukrit Chakraborty
We introduce and study a one-parameter family of probability measures defined by the Boolean additive convolution , where is the symmetric…
Shotgun Assembly of Random Geometric Graphs
Kartick Adhikari, Sukrit Chakraborty
In a recent work, Huang and Tikhomirov considered the shotgun assembly for Erd\H os-Rényi graphs with , and showed that the graph is reconstructable…
Length of stationary Gaussian excursions
Arijit Chakrabarty, Manish Pandey, Sukrit Chakraborty
Given that a stationary Gaussian process is above a high threshold, the length of time it spends before going below that threshold is studied. The asymptotic order is determined by…
Eigenvalues outside the bulk of inhomogeneous Erdős-Rënyi random graphs
Arijit Chakrabarty, Sukrit Chakraborty, Rajat Subhra Hazra
The article considers an inhomogeneous Erdős-Rënyi random graph on , where an edge is placed between vertices and with probability $\varepsilon_N f(i/N,j/N…
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…
Boolean convolutions and regular variation
Sukrit Chakraborty, Rajat Subhra Hazra
In this article we study the influence of regularly varying probability measures on additive and multiplicative Boolean convolutions. We introduce the notion of Boolean subexponent…