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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The parabolic Anderson model in a dynamic random environment: space-time ergodicity for the quenched Lyapunov exponent
TL;DR: In this article, it was shown that the parabolic Anderson equation can be solved under an additional condition that the initial condition is stationary and ergodic under translations in space and time, is not constant and satises E(j (0; 0)j) E( (0, 0)) for 2(0; 1).
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Discretisation of regularity structures
Dirk Erhard,Martin Hairer +1 more
TL;DR: A general framework allowing to apply the theory of regularity structures to discretisations of stochastic PDEs and a "black box" describing the behaviour of the authors' discretised objects at scales below $\varepsilon $ is introduced.
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2D Anisotropic KPZ at stationarity: scaling, tightness and non triviality
TL;DR: In this article, a regularized version of the anisotropic KPZ (aKPZ) was considered and the existence of subsequential limits was shown. But the authors only considered the case where the coupling constant is constant and the noise is white in space and time.
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The parabolic Anderson model in a dynamic random environment: basic properties of the quenched Lyapunov exponent
TL;DR: In this paper, the authors studied the parabolic Anderson equation and showed that the solution to the Anderson equation does not depend on the initial condition u(x,0), where x is a nonnegative and bounded variable.
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Asymptotics of the critical time in Wiener sausage percolation with a small radius
Dirk Erhard,Julien Poisat +1 more
TL;DR: In this paper, the authors consider a continuum percolation model on a set of independent Wiener sausages and derive moment estimates on the capacity of Wiener SAusages.