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Project B5: Universality beyond determinantal point processes


Principal Investigator(s)
Gernot Akemann
Friedrich Götze
Visitor(s)
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Summary:

The project is devoted to a better understanding of generalizations of determinantal point processes, going beyond the classical random matrix ensembles. Prime examples to be studied are so-called beta-ensembles in one and two dimensions, fixed trace ensembles and products of Wigner ensembles. In all settings the key question will be the universality of the logarithmic interaction of eigenvalues, with techniques ranging from concentration of measure and complex analysis to free probability.


Recent Preprints:

19026 Taro Nagao, Gernot Akemann, Mario Kieburg, Iván Parra PDF

Families of two-dimensional Coulomb gases on anellipse: correlation functions and universality

Project: B5

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Families of two-dimensional Coulomb gases on anellipse: correlation functions and universality


Authors: Taro Nagao, Gernot Akemann, Mario Kieburg, Iván Parra Projects: B5
Submission Date: 27.05.2019 Submitter: Friedrich Götze
Download: PDF Link: 19026

19025 Gernot Akemann, Taro Nagao, Iván Parra, Graziano Vernizzi PDF

Gegenbauer and other planar orthogonal polynomials on an ellipse in the complex plane

Project: B5

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Gegenbauer and other planar orthogonal polynomials on an ellipse in the complex plane


Authors: Gernot Akemann, Taro Nagao, Iván Parra, Graziano Vernizzi Projects: B5
Submission Date: 27.05.2019 Submitter: Friedrich Götze
Download: PDF Link: 19025

19009 Gernot Akemann, Roger Tribe, Athanasios Tsareas, Oleg Zaboronski PDF

On the determinantal structure of conditional overlaps for the complex Ginibre ensemble

Project: B5, C6

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On the determinantal structure of conditional overlaps for the complex Ginibre ensemble


Authors: Gernot Akemann, Roger Tribe, Athanasios Tsareas, Oleg Zaboronski Projects: B5, C6
Submission Date: 29.03.2019 Submitter: Friedrich Götze
Download: PDF Link: 19009

18042 Gernot Akemann, Sungsoo Byun PDF

The high temperature crossover for general 2D Coulomb gases

Project: B5

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The high temperature crossover for general 2D Coulomb gases


Authors: Gernot Akemann, Sungsoo Byun Projects: B5
Submission Date: 04.09.2018 Submitter: Friedrich Götze
Download: PDF Link: 18042

17047 Friedrich Götze, Anna Gusakova, Dmitry Zaporozhets PDF

Random affine simplexes

Project: B5

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Random affine simplexes


Authors: Friedrich Götze, Anna Gusakova, Dmitry Zaporozhets Projects: B5
Submission Date: 22.12.2017 Submitter: Gernot Akemann
Download: PDF Link: 17047

17046 Friedrich Götze, Alexey Naumov, Alexander Tikhomirov PDF

On local laws for non-hermitian random matrices and their products

Project: B5

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On local laws for non-hermitian random matrices and their products


Authors: Friedrich Götze, Alexey Naumov, Alexander Tikhomirov Projects: B5
Submission Date: 22.12.2017 Submitter: Gernot Akemann
Download: PDF Link: 17046

17039 Gernot Akemann, Milan Cikovic PDF

Products of random matrices from fixed trace and induced Ginibre ensembles

Project: B5

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Products of random matrices from fixed trace and induced Ginibre ensembles


Authors: Gernot Akemann, Milan Cikovic Projects: B5
Submission Date: 14.12.2017 Submitter: Friedrich Götze
Download: PDF Link: 17039



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