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Laudatio: The Mathematical Work of Jürgen Gärtner

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Probability in Complex Physical Systems

Part of the book series: Springer Proceedings in Mathematics ((PROM,volume 11))

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Abstract

Over the past 35 years, Jürgen Gärtner has made seminal contributions to probability theory and analysis. In this brief laudatio, I describe what I consider to be his five most important lines of research: (1) Gärtner-Ellis large deviation principle; (2) Kolmogorov–Petrovskii–Piskunov equation; (3) Dawson–Gärtner projective limit large deviation principle; (4) McKean–Vlasov equation; (5) Parabolic Anderson model. Each of these lines is placed in its proper context, but no attempt is made to fully trace the literature. What characterizes the papers of Jürgen is that they all deal with hard fundamental problems requiring a delicate combination of probabilistic and analytic techniques. A red thread through his work is the symbiosis of large deviation theory and potential theory, which he masterfully combines to reach powerful and elegant solutions.

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Authors and Affiliations

  1. Mathematical Institute, Leiden University, 9512, 2300 RA, Leiden, The Netherlands

    Frank den Hollander

  2. EURANDOM, 513, 5600 MB, Eindhoven, The Netherlands

    Frank den Hollander

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  1. Frank den Hollander
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Correspondence to Frank den Hollander .

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Editors and Affiliations

  1. Institute for Mathematics, TU Berlin, Straße des 17. Juni 136, Berlin, 10623, Berlin, Germany

    Jean-Dominique Deuschel

  2. Faculty of Mathematics, University of Bielefeld, P.O. Box 10 01 31, Bielefeld, 33501, Germany

    Barbara Gentz

  3. for Applied Analysis and Stochastics, Weierstrass Institute Berlin, Mohrenstr. 39, Berlin, 10117, Germany

    Wolfgang König

  4. Institute for Mathematics, TU Berlin, Straße des 17. Juni 136, Berlin, 10623, Germany

    Max von Renesse

  5. Institute for Mathematics, TU Berlin, Straße des 17. Juni 136, Berlin, 10623, Germany

    Michael Scheutzow

  6. Institute for Mathematical, Methods in Economics, Vienna University of Technology, Wiedner Hauptstraße 8-10/105-1, Vienna, 1040, Austria

    Uwe Schmock

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den Hollander, F. (2012). Laudatio: The Mathematical Work of Jürgen Gärtner. In: Deuschel, JD., Gentz, B., König, W., von Renesse, M., Scheutzow, M., Schmock, U. (eds) Probability in Complex Physical Systems. Springer Proceedings in Mathematics, vol 11. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23811-6_1

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