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Probability and Analysis in Interacting Physical Systems

E-BookPDF1 - PDF WatermarkE-Book
294 Seiten
Englisch
Springer International Publishingerschienen am24.05.20191st ed. 2019
This Festschrift on the occasion of the 75th birthday of S.R.S. Varadhan, one of the most influential researchers in probability of the last fifty years, grew out of a workshop held at the Technical University of Berlin, 15-19 August, 2016. This volume contains ten research articles authored by several of Varadhan's former PhD students or close collaborators. The topics of the contributions are more or less closely linked with some of Varadhan's deepest interests over the decades: large deviations, Markov processes, interacting particle systems, motions in random media and homogenization, reaction-diffusion equations, and directed last-passage percolation.

The articles present original research on some of the most discussed current questions at the boundary between analysis and probability, with an impact on understanding phenomena in physics. This collection will be of great value to researchers with an interest in models of probability-based statistical mechanics.







Peter K. Friz studied in Vienna, Paris and Trinity College, Cambridge, before earning his PhD (2000-2003) at NYU's Courant Institute under the supervision of S.R.S. Varadhan. After holding positions at Merrill Lynch and Cambridge University, he moved to Berlin in 2009, where he is presently Einstein Professor at TU and WIAS Berlin. He works in stochastic/rough analysis and quantitative finance.


Wolfgang König received his PhD at the University of Zurich in 1994. After holding postdoc positions in the Netherlands, the UK and Canada, and an assistant professor position at TU Berlin, he spent five years in Leipzig as a professor. In 2009 he moved back to Berlin to accept a joint position as professor at TU Berlin and head of a research group at WIAS. He works on applied probability, large deviations and statistical mechanics. 

Chiranjib Mukherjee obtained his PhD in Mathematics at the Max Planck Institute Leipzig and the University of Leipzig in 2011. After holding postdoc positions in Erlangen, Munich and Berlin, he was a visiting assistant professor at the Courant Institute, NYU, where he collaborated with S.R.S. Varadhan. Since April 2017 he has been an assistant professor of mathematics, specialising in probability theory, at the University of Münster, Germany. His research interests lie in stochastic analysis, PDEs and applications to statistical mechanics. 

Stefano Olla earned his PhD at Rutgers University (1987) under the direction of Joel Lebowitz and was a postdoc at the Courant Institute, where he collaborated with S.R.S. Varadhan. After holding positions in Rome, Torino and Cergy-Pontoise, he has been a professor at the Université Paris Dauphine-PSL since 2002. He works in non-equilibrium statistical mechanics and hydrodynamic limits.
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Produkt

KlappentextThis Festschrift on the occasion of the 75th birthday of S.R.S. Varadhan, one of the most influential researchers in probability of the last fifty years, grew out of a workshop held at the Technical University of Berlin, 15-19 August, 2016. This volume contains ten research articles authored by several of Varadhan's former PhD students or close collaborators. The topics of the contributions are more or less closely linked with some of Varadhan's deepest interests over the decades: large deviations, Markov processes, interacting particle systems, motions in random media and homogenization, reaction-diffusion equations, and directed last-passage percolation.

The articles present original research on some of the most discussed current questions at the boundary between analysis and probability, with an impact on understanding phenomena in physics. This collection will be of great value to researchers with an interest in models of probability-based statistical mechanics.







Peter K. Friz studied in Vienna, Paris and Trinity College, Cambridge, before earning his PhD (2000-2003) at NYU's Courant Institute under the supervision of S.R.S. Varadhan. After holding positions at Merrill Lynch and Cambridge University, he moved to Berlin in 2009, where he is presently Einstein Professor at TU and WIAS Berlin. He works in stochastic/rough analysis and quantitative finance.


Wolfgang König received his PhD at the University of Zurich in 1994. After holding postdoc positions in the Netherlands, the UK and Canada, and an assistant professor position at TU Berlin, he spent five years in Leipzig as a professor. In 2009 he moved back to Berlin to accept a joint position as professor at TU Berlin and head of a research group at WIAS. He works on applied probability, large deviations and statistical mechanics. 

Chiranjib Mukherjee obtained his PhD in Mathematics at the Max Planck Institute Leipzig and the University of Leipzig in 2011. After holding postdoc positions in Erlangen, Munich and Berlin, he was a visiting assistant professor at the Courant Institute, NYU, where he collaborated with S.R.S. Varadhan. Since April 2017 he has been an assistant professor of mathematics, specialising in probability theory, at the University of Münster, Germany. His research interests lie in stochastic analysis, PDEs and applications to statistical mechanics. 

Stefano Olla earned his PhD at Rutgers University (1987) under the direction of Joel Lebowitz and was a postdoc at the Courant Institute, where he collaborated with S.R.S. Varadhan. After holding positions in Rome, Torino and Cergy-Pontoise, he has been a professor at the Université Paris Dauphine-PSL since 2002. He works in non-equilibrium statistical mechanics and hydrodynamic limits.
Details
Weitere ISBN/GTIN9783030153380
ProduktartE-Book
EinbandartE-Book
FormatPDF
Format Hinweis1 - PDF Watermark
FormatE107
Erscheinungsjahr2019
Erscheinungsdatum24.05.2019
Auflage1st ed. 2019
Reihen-Nr.283
Seiten294 Seiten
SpracheEnglisch
IllustrationenXV, 294 p. 44 illus., 4 illus. in color.
Artikel-Nr.4539571
Rubriken
Genre9200

Inhalt/Kritik

Inhaltsverzeichnis
>1 Marginal Distributions Via Symplectic Schur Functions.- C. Landim, C.-C. Chang, and T. Lee: A Large Deviation Principle for the Polar Empirical Measure in the Two-Dimensional Symmetric Simple Exclusion Process.-S. Sethuraman and S. C. Venkataraman: On the Growth of a Superlinear Preferential Attachment Scheme.- R. Pinsky: A Natural Probabilistic Model on the Integers and its Relation to Dickman-Type Distributions and Buchstab's Function.mehr

Autor

Peter K. Friz studied in Vienna, Paris and Trinity College, Cambridge, before earning his PhD (2000-2003) at NYU's Courant Institute under the supervision of S.R.S. Varadhan. After holding positions at Merrill Lynch and Cambridge University, he moved to Berlin in 2009, where he is presently Einstein Professor at TU and WIAS Berlin. He works in stochastic/rough analysis and quantitative finance.


Wolfgang König received his PhD at the University of Zurich in 1994. After holding postdoc positions in the Netherlands, the UK and Canada, and an assistant professor position at TU Berlin, he spent five years in Leipzig as a professor. In 2009 he moved back to Berlin to accept a joint position as professor at TU Berlin and head of a research group at WIAS. He works on applied probability, large deviations and statistical mechanics.

Chiranjib Mukherjee obtained his PhD in Mathematics at the Max Planck Institute Leipzig and the University of Leipzig in 2011. After holding postdoc positions in Erlangen, Munich and Berlin, he was a visiting assistant professor at the Courant Institute, NYU, where he collaborated with S.R.S. Varadhan. Since April 2017 he has been an assistant professor of mathematics, specialising in probability theory, at the University of Münster, Germany. His research interests lie in stochastic analysis, PDEs and applications to statistical mechanics.

Stefano Olla earned his PhD at Rutgers University (1987) under the direction of Joel Lebowitz and was a postdoc at the Courant Institute, where he collaborated with S.R.S. Varadhan. After holding positions in Rome, Torino and Cergy-Pontoise, he has been a professor at the Université Paris Dauphine-PSL since 2002. He works in non-equilibrium statistical mechanics and hydrodynamic limits.