3 citations · 5 across the 9 of their papers we have counts for
14 papers
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…
Ideal Zero-Product Probability in Finite Commutative Rings
Sukrit Chakraborty, Sourav Kanti Patra
We introduce the \emph{ideal zero-product probability}, a new probabilistic invariant associated with a finite commutative ring , defined by \[ ζ_k(R) = \frac{ |\{(I_1,\ldots,I_…
Random Finite Sumsets and Product Sets in Subsets of the Natural Numbers
Sukrit Chakraborty, Sayan Goswami, Sourav Kanti Patra
We investigate the occurrence of additive and multiplicative structures in random subsets of the natural numbers. Specifically, for a Bernoulli random subset of where…
The Moore Bound for Regular Simplicial Complexes
Sukrit Chakraborty
We derive Moore-type upper bounds for regular simplicial complexes and present logarithmic lower bounds on their diameter based on minimum degree.
Shortest Paths in a Weighted Simplicial Complex
Sukrit Chakraborty, Prasanta Choudhury, Arindam Mukherjee
Simplicial complexes are extensively studied in the field of algebraic topology. They have gained attention in recent time due to their applications in fields like theoretical dist…
Shotgun Assembly of Linial-Meshulam Model
Kartick Adhikari, Sukrit Chakraborty
In a recent paper [6], J. Gaudio and E. Mossel studied the shotgun assembly of the Erdős-Rényi graph with , and showed that the graph is reconstruct…
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…
Infinite image partition regular matrices - Solution in C-sets
Sukrit Chakraborty, Sourav Kanti Patra
A finite or infinite matrix is image partition regular provided that whenever is finitely colored, there must be some with entries from…
C-image partition regularity near zero
Sourav Kanti Patra, Sukrit Chakraborty
In \cite{dehind1}, the concept of image partition regularity near zero was first instigated. In contrast to the finite case , infinite image partition regular matrices near zero ar…
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…