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20012026
most citedGeometrical structure of Laplacian eigenfunctions

264 citations · 3.4k across the 103 of their papers we have counts for

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Showing 2016Show all

5 papers · 1 filter

cond-mat.stat-mech2016★ 84 cited

Universal formula for the mean first passage time in planar domains

Denis S. Grebenkov

We derive a general exact formula for the mean first passage time (MFPT) from a fixed point inside a planar domain to an escape region on its boundary. The underlying mixed Dirichl…

physics.chem-ph2016★ 64 cited

The escape problem for mortal walkers

D. S. Grebenkov, J. -F. Rupprecht

We introduce and investigate the escape problem for random walkers that may eventually die, decay, bleach, or lose activity during their diffusion towards an escape or reactive reg…

cond-mat.other2016★ 84 cited

Diffusive escape through a narrow opening: new insights into a classic problem

Denis S Grebenkov, Gleb Oshanin

We study the mean first exit time $T_{\ve}$ of a particle diffusing in a circular or a spherical micro-domain with an impenetrable confining boundary containing a small escape wind…

math.SP2016★ 30 cited

On spectral properties of the Bloch-Torrey operator in two dimensions

D. S. Grebenkov, B. Helffer

We investigate a two-dimensional Schrödinger operator, , with a purely complex potential . A rigorous definition of this non-selfadjoint operator is provided f…

q-fin.GN2016

Should employers pay their employees better? An asset pricing approach

Sebastien Valeyre, Denis Grebenkov, Sofiane Aboura +1

We uncover a new anomaly in asset pricing that is linked to the remuneration: the more a company spends on salaries and benefits per employee, the better its stock performs, on ave…