A. Holroyd

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20022005

most citedExtra heads and invariant allocations

55 citations · 112 across the 8 of their papers we have counts for

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Showing 2003 · math.PRShow all

2 papers · 2 filters

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=…