output
19922026
most citedInvestigating the relationship between biodiversity and ecosystem multifunctionality: Challenges and solutions

947 citations

Showing 2013 · math.PRShow all

5 papers · 2 filters

math.PR2013★ 47 cited

Duality in refined Sobolev-Malliavin spaces and weak approximations of SPDE

Adam Andersson, Raphael Kruse, Stig Larsson

We introduce a new family of refined Sobolev-Malliavin spaces that capture the integrability in time of the Malliavin derivative. We consider duality in these spaces and derive a B…

math.PR2013

Random walks on dynamical percolation: mixing times, mean squared displacement and hitting times

Yuval Peres, Alexandre Stauffer, Jeffrey E. Steif

We study the behavior of random walk on dynamical percolation. In this model, the edges of a graph G are either open or closed and refresh their status at rate μ while at the same…

math.PR2013★ 13 cited

Kolmogorov-Chentsov theorem and differentiability of random fields on manifolds

Roman Andreev, Annika Lang

A version of the Kolmogorov-Chentsov theorem on sample differentiability and Hölder continuity of random fields on domains of cone type is proved, and the result is generalized to…

math.PR2013★ 12 cited

Strong noise sensitivity and random graphs

Eyal Lubetzky, Jeffrey E. Steif

The noise sensitivity of a Boolean function describes its likelihood to flip under small perturbations of its input. Introduced in the seminal work of Benjamini, Kalai and Schramm…

math.PR2013★ 142 cited

Isotropic Gaussian random fields on the sphere: Regularity, fast simulation and stochastic partial differential equations

Annika Lang, Christoph Schwab

Isotropic Gaussian random fields on the sphere are characterized by Karhunen-Loève expansions with respect to the spherical harmonic functions and the angular power spectrum. The s…