Joshua Pfeffer

most citedAnchored expansion, speed, and the hyperbolic Poisson Voronoi tessellation

7 citations · 7 across the 2 of their papers we have counts for

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math.PR2023

Brownian loops on non-smooth surfaces and the Polyakov-Alvarez formula

Minjae Park, Joshua Pfeffer, Scott Sheffield

Let $ρ$ be compactly supported on $D \subset R^{2}$ . Endow $R^{2}$ with the metric $e^{ρ} (d x_{1}^{2} + d x_{2}^{2})$ . As $δ \to 0$ the set of Brownian loops centered in $D$ with le…

math.PR2014★ 7 cited

Anchored expansion, speed, and the hyperbolic Poisson Voronoi tessellation

Itai Benjamini, Elliot Paquette, Joshua Pfeffer

We show that random walk on a stationary random graph with positive anchored expansion and exponential volume growth has positive speed. We also show that two families of random tr…