D
Denis S. Grebenkov
Researcher at École Polytechnique
Publications - 228
Citations - 5966
Denis S. Grebenkov is an academic researcher from École Polytechnique. The author has contributed to research in topics: Diffusion (business) & Brownian motion. The author has an hindex of 38, co-authored 211 publications receiving 4656 citations. Previous affiliations of Denis S. Grebenkov include University of Potsdam & Independent University of Moscow.
Papers
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NMR survey of reflected brownian motion
TL;DR: In this paper, a long-standing problem of restricted diffusion under arbitrary magnetic field is reformulated in terms of multiple correlation functions of the reflected Brownian motion, and many classical results are retrieved, extended, and critically discussed.
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Geometrical structure of Laplacian eigenfunctions
TL;DR: In this article, the properties of the Laplace operator in bounded Euclidean domains with Dirichlet, Neumann, or Robin boundary conditions are summarized at a level accessible to scientists ranging from mathematics to physics and computer sciences.
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Geometrical structure of Laplacian eigenfunctions
TL;DR: The main focus is put onto multiple intricate relations between the shape of a domain and the geometrical structure of eigenfunctions of the Laplace operator in bounded Euclidean domains with Dirichlet, Neumann or Robin boundary condition.
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Anomalous, non-Gaussian tracer diffusion in crowded two-dimensional environments
Surya K. Ghosh,Surya K. Ghosh,Andrey G. Cherstvy,Denis S. Grebenkov,Ralf Metzler,Ralf Metzler +5 more
TL;DR: In this article, the authors investigate both biologically relevant situations of particles released either at the surface of an inner domain or at the outer boundary, exhibiting distinctly different features of the observed anomalous diffusion for heterogeneous distributions of crowders.
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Diffusion-limited reactions in dynamic heterogeneous media
TL;DR: A general mathematical framework is proposed to compute the distribution of first-passage times in a dynamically heterogeneous medium and shows how the dynamic disorder broadens the distribution and increases the likelihood of both short and long trajectories to reactive targets.