researcher

A. Holroyd

79 papers hereh-index 262.5k citations120 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position

sole author9
first author24
middle author28
last author18

Across the 79 of 79 papers where every author was matched, so the position is known.

fields

math.PR61
math.CO9
cs.CG2
cs.DM2
cs.GR1
cs.GT1

identity via Semantic Scholar / OpenAlex

activity

20022023

most citedChip-Firing and Rotor-Routing on Directed Graphs

149 citations · 560 across the 62 of their papers we have counts for

collaborators

Showing 2003Show all

2 papers · 1 filter

math.PR2003★ 55 cited

Extra heads and invariant allocations

Alexander E. Holroyd, Yuval Peres

Let Πbe an ergodic simple point process on R^d and let Π^* be its Palm version. Thorisson [Ann. Probab. 24 (1996) 2057-2064] proved that there exists a shift coupling of Πand Π^*;…

math.PR2003

Integrals, Partitions, and Cellular Automata

Alexander E. Holroyd, Thomas M. Liggett, Dan Romik

We prove that $\int_{0}^{1} \frac{- lo g f ( x )}{x} d x = \frac{π ^{2}}{3 ab}$ where $f (x)$ is the decreasing function that satisfies $f^{a} - f^{b} = x^{a} - x^{b}$ , for $0 < a < b$ . When $a$ is an integer and $b=…

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Data

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.