Microsoft Research (United Kingdom)

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20022011

most citedConsistent Streaming Through Time: A Vision for Event Stream Processing

215 citations

Showing 2011 · math.PRShow all

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math.PR2011★ 1 cited

An isoperimetric inequality for the Wiener sausage

Yuval Peres, Perla Sousi

Let $(ξ (s))_{s \geq 0}$ be a standard Brownian motion in $d \geq 1$ dimensions and let $(D_{s})_{s \geq 0}$ be a collection of open sets in $R^{d}$ . For each $s$ , let $B_{s}$ be a ball ce…

math.PR2011

Stable Poisson Graphs in One Dimension

Maria Deijfen, Alexander E. Holroyd, Yuval Peres

Let each point of a homogeneous Poisson process on $\RR$ independently be equipped with a random number of stubs (half-edges) according to a given probability distribution $μ$ on t…