activity
20022022
most citedSpectral Statistics for the Dirac Operator on Graphs

83 citations · 288 across the 16 of their papers we have counts for

collaborators

16 papers

cs.LG2022

Advertising Media and Target Audience Optimization via High-dimensional Bandits

Wenjia Ba, J. Michael Harrison, Harikesh S. Nair

We present a data-driven algorithm that advertisers can use to automate their digital ad-campaigns at online publishers. The algorithm enables the advertiser to search across avail…

math-ph2016★ 4 cited

Relating Zeta Functions of Discrete and Quantum Graphs

Jonathan Harrison, Tracy Weyand

We write the spectral zeta function of the Laplace operator on an equilateral metric graph in terms of the spectral zeta function of the normalized Laplace operator on the correspo…

math-ph2016

Lyndon word decompositions and pseudo orbits on q-nary graphs

R. Band, J. M. Harrison, M. Sepanski

A foundational result in the theory of Lyndon words (words that are strictly earlier in lexicographic order than their cyclic permutations) is the Chen-Fox-Lyndon theorem which sta…

math-ph2012★ 5 cited

Intermediate statistics for a system with symplectic symmetry: the Dirac rose graph

J. M. Harrison, B. Winn

We study the spectral statistics of the Dirac operator on a rose-shaped graph---a graph with a single vertex and all bonds connected at both ends to the vertex. We formulate a secu…

math-ph2011★ 9 cited

Spectral determinants and zeta functions of Schrödinger operators on metric graphs

J. M. Harrison, K. Kirsten, C. Texier

A derivation of the spectral determinant of the Schrödinger operator on a metric graph is presented where the local matching conditions at the vertices are of the general form clas…

math.PR2010★ 26 cited

Positive recurrence of reflecting Brownian motion in three dimensions

Maury Bramson, J. G. Dai, J. M. Harrison

Consider a semimartingale reflecting Brownian motion (SRBM) whose state space is the -dimensional nonnegative orthant. The data for such a process are a drift vector , a…