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Project C6.1: Products of coupled random matrices in field theory and statistical mechanics


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Summary:

In this project we will study products of random matrices that are not independent. In particular, we want to find out, if the statistics of the singular values and of the complex eigenvalues of the product matrix remain universal, which is important for applications. At the same time, the coupling between the random matrices that are multiplied shall enable us to find new scaling limits that are relevant e.g. for the Lyapunov exponents. Further applications to field theories with chemical potentials are planned.


Recent Preprints:

21003 Mario Kieburg, Kim Splittorff, Adam Mielke PDF

Universal Broadening of Zero Modes: A General Framework and Identification

Project: C6

Published: Physical Review E 99, no. 052112 (2019)

Notes: DOI: 10.1103/PhysRevE.99.052112

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Universal Broadening of Zero Modes: A General Framework and Identification


Authors: Mario Kieburg, Kim Splittorff, Adam Mielke Projects: C6
Submission Date: 05.12.2020 Submitter: Friedrich Götze
Download: PDF Link: 21003
Published: Physical Review E 99, no. 052112 (2019)
Notes: DOI: 10.1103/PhysRevE.99.052112

20112 Gernot Akemann, Zdzisław Burda, Mario Kieburg PDF

Universality of local spectral statistics of products of random matrices

Project: C6

Published: Physical Review E 102 (2020), 052134

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Universality of local spectral statistics of products of random matrices


Authors: Gernot Akemann, Zdzisław Burda, Mario Kieburg Projects: C6
Submission Date: 23.12.2020 Submitter: Michael Baake
Download: PDF Link: 20112
Published: Physical Review E 102 (2020), 052134

20058 Mario Kieburg, Gernot Akemann, Guisi Alfano, Giuseppe Caire PDF

Closed-form performance analysis of linear MIMO receivers in general fading scenarios

Project: C6

Published: WSA 2019; 23rd International ITG Workshop on Smart Antennas (2019), 1–7

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Closed-form performance analysis of linear MIMO receivers in general fading scenarios


Authors: Mario Kieburg, Gernot Akemann, Guisi Alfano, Giuseppe Caire Projects: C6
Submission Date: 26.05.2020 Submitter: Michael Baake
Download: PDF Link: 20058
Published: WSA 2019; 23rd International ITG Workshop on Smart Antennas (2019), 1–7

20048 Gernot Akemann, Eugene Strahov, Tim Robert Würfel PDF

Averages of products and ratios of characteristic polynomials in polynomial ensembles

Project: C6

Published: Annales Henri Poincaré 21, no. 12 (2020), 3973--4002

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Averages of products and ratios of characteristic polynomials in polynomial ensembles


Authors: Gernot Akemann, Eugene Strahov, Tim Robert Würfel Projects: C6
Submission Date: 05.05.2020 Submitter: Michael Baake
Download: PDF Link: 20048
Published: Annales Henri Poincaré 21, no. 12 (2020), 3973--4002

20029 Gernot Akemann, Michael Baake, Nayden Chakarov, Oliver Krüger, Adam Mielke, Meinolf Ottensmann, Rebecca Werdehausen PDF

Territorial behaviour of buzzards versus random matrix spacing distributions

Project: A6, C6

Published: Journal of Theoretical Biology 509 (2021), 110475: 1–7

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Territorial behaviour of buzzards versus random matrix spacing distributions


Authors: Gernot Akemann, Michael Baake, Nayden Chakarov, Oliver Krüger, Adam Mielke, Meinolf Ottensmann, Rebecca Werdehausen Projects: A6, C6
Submission Date: 23.03.2020 Submitter: Sebastian Herr
Download: PDF Link: 20029
Published: Journal of Theoretical Biology 509 (2021), 110475: 1–7

19116 Mario Kieburg, Takuya Kanazawa, Jacobus Verbaarschot PDF

Random matrix approach to three-dimensional QCD with a Chern-Simons term

Project: C6

Published: Journal of High Energy Physics 10 (2019), 074

Notes: DOI: 10.1007/JHEP10(2019)074

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Random matrix approach to three-dimensional QCD with a Chern-Simons term


Authors: Mario Kieburg, Takuya Kanazawa, Jacobus Verbaarschot Projects: C6
Submission Date: 04.01.2021 Submitter: Friedrich Götze
Download: PDF Link: 19116
Published: Journal of High Energy Physics 10 (2019), 074
Notes: DOI: 10.1007/JHEP10(2019)074

19115 Paolo Barucca, Mario Kieburg, Alexander Ossipov PDF

Eigenvalue and Eigenvector Statistics in Time Series Analysis

Project: C6

Published: Europhysics Letters 129, no. 60003 (2020)

Notes: DOI: 10.1209/0295-5075/129/60003

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Eigenvalue and Eigenvector Statistics in Time Series Analysis


Authors: Paolo Barucca, Mario Kieburg, Alexander Ossipov Projects: C6
Submission Date: 04.01.2021 Submitter: Friedrich Götze
Download: PDF Link: 19115
Published: Europhysics Letters 129, no. 60003 (2020)
Notes: DOI: 10.1209/0295-5075/129/60003

19113 Gernot Akemann, Roger Tribe, Athanasios Tsareas, Oleg Zaboronski PDF

Determinantal structure and bulk universality of conditional overlaps in the complex Ginibre ensemble

Project: B5, C6

Published: Acta Physica Polonica 51 (2020), 1611–1626

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Determinantal structure and bulk universality of conditional overlaps in the complex Ginibre ensemble


Authors: Gernot Akemann, Roger Tribe, Athanasios Tsareas, Oleg Zaboronski Projects: B5, C6
Submission Date: 30.12.2019 Submitter: Friedrich Götze
Download: PDF Link: 19113
Published: Acta Physica Polonica 51 (2020), 1611–1626

19105 Gernot Akemann, Yanik-Pascal Förster, Mario Kieburg PDF

Universal eigenvector correlations in quaternionic Ginibre ensembles

Project: B5, C6

Published: Journal of Physics A: Mathematical and Theoretical 53 (2020), 145201: 1–26

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Universal eigenvector correlations in quaternionic Ginibre ensembles


Authors: Gernot Akemann, Yanik-Pascal Förster, Mario Kieburg Projects: B5, C6
Submission Date: 06.12.2019 Submitter: Friedrich Götze
Download: PDF Link: 19105
Published: Journal of Physics A: Mathematical and Theoretical 53 (2020), 145201: 1–26

19104 Tom Claeys, Thorsten Neuschel, Martin Venker PDF

Critical behavior of non-intersecting Brownian motions

Project: B5, C6

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Critical behavior of non-intersecting Brownian motions


Authors: Tom Claeys, Thorsten Neuschel, Martin Venker Projects: B5, C6
Submission Date: 05.12.2019 Submitter: Gernot Akemann
Download: PDF Link: 19104


All Publications of this Project


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