Výsledky vyhledávání - "Lehmann, Tobias"

Dissertation/ Thesis

Contributions to measure-valued diffusion processes arising in statistical mechanics and population genetics

Autor: Lehmann, Tobias

The present work is about measure-valued diffusion processes, which are aligned with two distinct geometries on the set of probability measures. In the first part we focus on a stochastic partial differential equation, the Dean-Kawasaki equation, whi

Externí odkaz: https://ul.qucosa.de/id/qucosa%3A80671
https://ul.qucosa.de/api/qucosa%3A80671/attachment/ATT-0/

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Dissertation/ Thesis

Visual system of basal Chelicerata

Autor: Lehmann, Tobias

Externí odkaz: http://edoc.ub.uni-muenchen.de/17558/1/Lehmann_Tobias.pdf
http://nbn-resolving.de/urn:nbn:de:bvb:19-175587
http://edoc.ub.uni-muenchen.de/17558/7/Lehmann_container.zip

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A note on overrelaxation in the Sinkhorn algorithm

Autor: Lehmann, Tobias, von Renesse, Max-K., Sambale, Alexander, Uschmajew, André

We derive an a priori parameter range for overrelaxation of the Sinkhorn algorithm, which guarantees global convergence and a strictly faster asymptotic local convergence. Guided by the spectral analysis of the linearized problem we pursue a zero cos

Externí odkaz: http://arxiv.org/abs/2012.12562

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Darwinian evolution as Brownian motion on the simplex: A geometric perspective on stochastic replicator dynamics

Autor: Lehmann, Tobias

We prove that stochastic replicator dynamics can be interpreted as intrinsic Brownian motion on the simplex equipped the Aitchison geometry. As an immediate consequence we derive three approximation results in the spirit of Wong-Zakai approximation,

Externí odkaz: http://arxiv.org/abs/2008.05410

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On Dean-Kawasaki Dynamics with Smooth Drift Potential

Autor: Konarovskyi, Vitalii, Lehmann, Tobias, von Renesse, Max

Publikováno v: J. Stat. Phys. Volume 178, Number 3 (2020), 666-681

We consider the Dean-Kawasaki equation with smooth drift interaction potential and show that measure valued solutions exist only in certain parameter regimes in which case they are given by finite Langevin particle systems with mean field interaction

Externí odkaz: http://arxiv.org/abs/1812.11068

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Dean-Kawasaki Dynamics: Ill-posedness vs. Triviality

Autor: Lehmann, Tobias, Konarovskyi, Vitalii, von Renesse, Max-K.

We prove that the Dean-Kawasaki SPDE admits a solution only in integer parameter regimes, in which case the solution is given in terms of non-interacting particles.

Externí odkaz: http://arxiv.org/abs/1806.05018

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