Nathan Ross

STEIN'S METHOD FOR THE POISSON-DIRICHLET DISTRIBUTION AND THE EWENS SAMPLING FORMULA, WITH APPLICATIONS TO WRIGHT-FISHER MODELS

Han L Gan, Nathan Ross

Journal article  |  2021  |  ANNALS OF APPLIED PROBABILITY

We provide a general theorem bounding the error in the approximation of a random measure of interest—for example, the empirical po..

Local limit theorems for occupancy models

AD Barbour, Peter Braunsteins, Nathan Ross

Journal article  |  2020  |  RANDOM STRUCTURES & ALGORITHMS

We present a rather general method for proving local limit theorems, with a good rate of convergence, for sums of dependent random..

The probability of intransitivity in dice and close elections

Jan Hazla, Elchanan Mossel, Nathan Ross, Guangqu Zheng

Journal article  |  2020  |  PROBABILITY THEORY AND RELATED FIELDS

We study the phenomenon of intransitivity in models of dice and voting. First, we follow a recent thread of research for n-sided d..

Exponential and Laplace approximation for occupation statistics of branching random walk

Erol A Pekoz, Adrian Rollin, Nathan Ross

Journal article  |  2020  |  ELECTRONIC JOURNAL OF PROBABILITY

We study occupancy counts for the critical nearest-neighbor branching random walk on the d-dimensional lattice, conditioned on non..

Central moment inequalities using Stein's method

AD Barbour, Nathan Ross, Yuting Wen

Journal article  |  2020  |  ELECTRONIC JOURNAL OF PROBABILITY

We derive explicit central moment inequalities for random variables that admit a Stein coupling, such as exchangeable pairs, size–..

APPROXIMATING STATIONARY DISTRIBUTIONS OF FAST MIXING GLAUBER DYNAMICS, WITH APPLICATIONS TO EXPONENTIAL RANDOM GRAPHS

Gesine Reinert, Nathan Ross

Journal article  |  2019  |  ANNALS OF APPLIED PROBABILITY

We provide a general bound on the Wasserstein distance between two arbitrary distributions of sequences of Bernoulli random variab..

Error bounds in local limit theorems using Stein's method

AD Barbour, Adrian Roellin, Nathan Ross

Journal article  |  2019  |  BERNOULLI

We provide a general result for bounding the difference between point probabilities of integer supported distributions and the tra..

Source-Based Jamming for Physical-Layer Security on Untrusted Full-Duplex Relay

Saman Atapattu, Nathan Ross, Yindi Jing, Malin Preniaratne

Journal article  |  2019  |  IEEE COMMUNICATIONS LETTERS

We address the problem of secure wireless communications over an untrusted full-duplex (FD) relay based on the source jamming sche..

Shotgun Assembly of Labeled Graphs

Elchanan Mossel, Nathan Ross

Journal article  |  2019  |  IEEE TRANSACTIONS ON NETWORK SCIENCE AND ENGINEERING

We consider the problem of reconstructing graphs or labeled graphs from neighborhoods of a given radius $r$r. Special inst..

Physical-Layer Security in Full-Duplex Multi-Hop Multi-User Wireless Network With Relay Selection

Saman Atapattu, Nathan Ross, Yindi Jing, Yuanyuan He, Jamie S Evans

Journal article  |  2019  |  IEEE TRANSACTIONS ON WIRELESS COMMUNICATIONS

This paper investigates the relay selection (RS) problem for multi-hop full-duplex relay networks where multiple source-destinatio..