I. Simonelli

activity

20182023

collaborators

3 papers

math.PR2023

A central limit theorem for a card shuffling problem

Shane Chern, Lin Jiu, Italo Simonelli

Given a positive integer $n$ , consider a random permutation $τ$ of the set ${1, 2, \dots, n}$ . In $τ$ , we look for sequences of consecutive integers that appear in adjacent positi…

math.CO2021

Random Walk Models for Nontrivial Identities of Bernoulli and Euler Polynomials

Lin Jiu, Italo Simonelli, Heng Yue

We consider the $1$ -dimensional reflected Brownian motion and $3$ -dimensional Bessel process and the general models. By decomposing the hitting times of consecutive sites into loop…

math.PR2018

Local Limit Theorems for Poisson's Binomial in the Case of Infinite Expectation

Italo Simonelli, Lucia D. Simonelli

Let $V_{n} = X_{1, n} + X_{2, n} + \dots + X_{n, n}$ where $X_{i, n}$ are Bernoulli random variables which take the value $1$ with probability $b (i; n)$ . Let $λ_{n} = \sum\limits_{i=1…