WiSe 17/18: Seminar: Large deviations
Carsten Gräser, Ralf Kornhuber
Kommentar
This seminar is intended to provide an introduction to mathematical modelling concepts for diffusing particles. We will concentrate on a mathematical understanding of basic notions of statistical mechanics, e.g., free energies, in terms of gradient flows and large deviations.
If time permits, we will also consider particular applications like, e.g., continuous asymptotic limits of discrete particle systems.
Literaturhinweise
[1] Stefan Adams et al.: Large deviations and gradient flows. Phil. Trans. R. Soc. A, 371 (2005), p. 20120341, 2013.
[2] Nicolas Dirr, Vaios Laschos, and Johannes Zimmer: Upscaling from particle models to entropic gradient flows. J. Math. Phys., 53 (6), p. 063704, 2012.
[3] Tony, Lelièvre, Mathias Rousset, and Gabriel Stoltz: Free Energy Computations: A Mathematical Perspective. Imperial College Press, World Scientific, 2010.
[4] Mark Peletier. Variational Modelling: Energies, gradient flows, and large deviations. Preprint, arXiv:1402.1990, 2014.
[5] Hugo Touchette. The large deviation approach to statistical mechanics. Physics Reports 478 (1), p. 1-69, 2009.
Schließen15 Termine
Zusätzliche Termine
Di, 20.02.2018 14:00 - 17:00Regelmäßige Termine der Lehrveranstaltung