31 citations · 63 across the 9 of their papers we have counts for
9 papers · 1 filter
Limit theorems for loop soup random variables
Federico Camia, Yves Le Jan, Tulasi Ram Reddy
This article deals with limit theorems for certain loop variables for loop soups whose intensity approaches infinity. We first consider random walk loop soups on finite graphs and…
Sums of random polynomials with independent roots
Sean O'Rourke, Tulasi Ram Reddy
We consider the zeros of the sum of independent random polynomials as their degrees tend to infinity. Namely, let and be two independent random polynomials of degree , w…
Brownian Loops, Layering Fields and Imaginary Gaussian Multiplicative Chaos
Federico Camia, Alberto Gandolfi, Giovanni Peccati +1
We study vertex-like operators built from the Brownian loop soup in the limit as the loop soup intensity tends to infinity. More precisely, following Camia, Gandolfi and Kleban (Nu…
Zeros of random polynomials and its higher derivatives
Sung-Soo Byun, Jaehun Lee, Tulasi Ram Reddy
In this article we study the limiting empirical measure of zeros of higher derivatives for sequences of random polynomials. We show that these measures agree with the limiting empi…
Central limit theorem for exponentially quasi-local statistics of spin models on Cayley graphs
Tulasi Ram Reddy, Sreekar Vadlamani, D. Yogeshwaran
Central limit theorems for linear statistics of lattice random fields (including spin models) are usually proven under suitable mixing conditions or quasi-associativity. Many inter…
Limiting empirical distribution of zeros and critical points of random polynomials agree in general
Tulasi Ram Reddy
In this article, we study critical points (zeros of derivative) of random polynomials. Take two deterministic sequences and of complex numbers…
Probability that product of real random matrices have all eigenvalues real tend to 1
Tulasi Ram Reddy
In this article we consider products of real random matrices with fixed size. Let be i.i.d real matrices, whose entries are independent and identical…
On critical points of random polynomials and spectrum of certain products of random matrices
Tulasi Ram Reddy
In the first part we study critical points of random polynomials. We choose two deterministic sequences of complex numbers,whose empirical measures converge to the same probability…
Determinantal point processes in the plane from products of random matrices
Kartick Adhikari, Nanda Kishore Reddy, Tulasi Ram Reddy +1
We show the density of eigenvalues for three classes of random matrix ensembles is determinantal. First we derive the density of eigenvalues of product of independent $n\times…