output
20022008
most citedDefect-related photoluminescence of hexagonal boron nitride

256 citations

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5 papers · 1 filter

math.PR20073 cited

Localization for Branching Random Walks in Random Environment

Yueyun Hu, Nobuo Yoshida

We consider branching random walks in -dimensional integer lattice with time-space i.i.d. offspring distributions. This model is known to exhibit a phase transition: If $d \ge 3…

math.PR2007

A Local time correspondence for stochastic partial differential equations

Mohammud Foondun, Davar Khoshnevisan, Eulalia Nualart

It is frequently the case that a white-noise-driven parabolic and/or hyperbolic stochastic partial differential equation (SPDE) can have random-field solutions only in spatial dime…

math.PR2007

The fractional stochastic heat equation on the circle: Time regularity and potential theory

Eulalia Nualart, Frederi Viens

We consider a system of linear stochastic heat equations driven by an additive infinite-dimensional fractional Brownian noise on the unit circle . We obtain sharp results…

math.PR20077 cited

Level sets of the stochastic wave equation driven by a symmetric Lévy noise

Davar Khoshnevisan, Eulalia Nualart

We consider the solution of a system of linear stochastic wave equations driven by a -dimensional symmetric space-time Lévy noise. We prov…

math.PR20032 cited

A criterion for Talagrand's quadratic transportation cost inequality

Patrick Cattiaux, Arnaud Guillin

We show that the quadratic transportation cost inequality is equivalent to both a Poincaré inequality and a strong form of the Gaussian concentration property. The main ingre…