D
Dirk Erhard
Researcher at Federal University of Bahia
Publications - 36
Citations - 227
Dirk Erhard is an academic researcher from Federal University of Bahia. The author has contributed to research in topics: Lyapunov exponent & Random walk. The author has an hindex of 8, co-authored 33 publications receiving 193 citations. Previous affiliations of Dirk Erhard include Leiden University & University of Warwick.
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Local solution to the multi-layer KPZ equation
TL;DR: In this article, the authors prove local well-posedness of the system of equations where the Hopf-Cole solution for the single-layer equation coincides with the solution to the first layer and the cancellation of logarithmic divergences that occurs at the first level does not hold at higher layers.
Nonequilibrium Joint Fluctuations for Current and Occupation Time in The Symmetric Exclusion Process
TL;DR: In this article , the authors provide a full description of the joint fluctuations of current and occupation time in the one-dimensional simple symmetric exclusion process, furnishing explicit formulas for the covariances of the limiting Gaussian process.
Posted Content
Stochastic processes with competing reinforcements.
Dirk Erhard,Guilherme Reis +1 more
TL;DR: In this article, the authors introduce a technique to study processes driven by two or more reinforcement mechanisms in competition and apply it to two types of models: non-conservative zero-range processes on finite graphs, and to multi-particle random walks with positive and negative reinforcement on the edges.
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The parabolic Anderson model in a dynamic random environment: space-time ergodicity for the quenched Lyapunov exponent
TL;DR: In this paper, it was shown that the parabolic Anderson model exhibits space-time ergodicity in the limit of large diffusivity, a situation referred to as strongly catalytic behavior.
Strong large deviation principles for pair empirical measures of random walks in the Mukherjee-Varadhan topology
Dirk Erhard,Julien Poisat +1 more
TL;DR: In this paper , the authors introduced a new topology under which the pair empirical measure of a large class of random walks satisfies a strong large deviation principle, inspired by the recent article by Mukherjee and Varadhan.