Elliptic Dyson Models Makoto Katori (Chuo Univ., Tokyo)
Tuesday, March 21, 2017
Workshop on
`Elliptic Hypergeometric Functions in Combinatorics, Integrable Systems and Physics’
March 20-24, 2017 ESI, Boltzmann Lecture Hall
University of Vienna 1
Plan of my talk 1. Introduction Martingales and 1-dim. Brownian Motion Complex BM and Conformal Invariance Entire Functions and Determinantal Martingale Determinantal Measures and Processes Problem 2. Results Theorem 1, Theorem 2 3. Key Lemmas and Open Problems
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1. Introduction
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Martingales and 1-dim. Brownian Motion
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Complex BM and Conformal Invariance
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Entire Functions and Det. Martingale
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Determinantal Measures and Processes
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Proposition 1
Problem
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2. Results
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Theorem 1
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Theorem 2
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3. Key Lemmas and Open Problems
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A Key Lemma for Theorem 1
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Lemma 1
A Key Lemma for Theorem 2
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A Key Lemma for Theorem 2
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Lemma 2
Open Problem 1
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Open Problem 2
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Thank you very much for your attention.
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A Lecture Note entitled `Bessel Processes, Schramm-Loewner Evolution,
and the Dyson Model’ was published (2016) as
SpringerBriefs in Mathematical Physics 11
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