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



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:

18055 Mario Kieburg, Jacobus Verbaarschot, Tilo Wettig PDF

Dirac spectrum and chiral condensate for QCD at fixed θ-angle

Project: C6

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Dirac spectrum and chiral condensate for QCD at fixed θ-angle


Authors: Mario Kieburg, Jacobus Verbaarschot, Tilo Wettig Projects: C6
Submission Date: 14.11.2018 Submitter:
Download: PDF Link: 18055

18054 Takuya Kanazawa, Mario Kieburg PDF

Symmetry Crossover Protecting Chirality in Dirac Spectra

Project: C6

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Symmetry Crossover Protecting Chirality in Dirac Spectra


Authors: Takuya Kanazawa, Mario Kieburg Projects: C6
Submission Date: 14.11.2018 Submitter:
Download: PDF Link: 18054

18043 Ivan Gonzalez, Igor Kondrashuk, Eduardo A. Notte-Cuello, Ivan Parra-Ferrada PDF

Multi-fold contour integrals of certain ratios of Euler gamma functions from Feynman diagrams: orthogonality of triangles

Project: C6

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Multi-fold contour integrals of certain ratios of Euler gamma functions from Feynman diagrams: orthogonality of triangles


Authors: Ivan Gonzalez, Igor Kondrashuk, Eduardo A. Notte-Cuello, Ivan Parra-Ferrada Projects: C6
Submission Date: 03.09.2018 Submitter:
Download: PDF Link: 18043

18013 Takuya Kanazawa, Mario Kieburg PDF

GUE-chGUE Transition preserving Chirality at finite Matrix Size

Project: C6

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GUE-chGUE Transition preserving Chirality at finite Matrix Size


Authors: Takuya Kanazawa, Mario Kieburg Projects: C6
Submission Date: 20.04.2018 Submitter:
Download: PDF Link: 18013

18012 Takuya Kanazawa, Mario Kieburg PDF

Symmetry Transition Preserving Chirality in QCD: A Versatile Random Matrix Model

Project: C6

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Symmetry Transition Preserving Chirality in QCD: A Versatile Random Matrix Model


Authors: Takuya Kanazawa, Mario Kieburg Projects: C6
Submission Date: 20.04.2018 Submitter:
Download: PDF Link: 18012

17048 Zhong Zheng, Zygmunt J. Haas, Mario Kieburg PDF

Secrecy Rate of Cooperative MIMO in the Presence of a Location Constrained Eavesdropper

Project: C6

Published: IEEE Transactions on Communications (2018), 1–1

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Secrecy Rate of Cooperative MIMO in the Presence of a Location Constrained Eavesdropper


Authors: Zhong Zheng, Zygmunt J. Haas, Mario Kieburg Projects: C6
Submission Date: 15.11.2018 Submitter:
Download: PDF Link: 17048
Published: IEEE Transactions on Communications (2018), 1–1

17040 Mario Kieburg, Peter J. Forrester, Jesper Ipsen PDF

Multiplicative Convolution of Real Asymmetric and Real Antisymmetric Matrices

Project: C6

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Multiplicative Convolution of Real Asymmetric and Real Antisymmetric Matrices


Authors: Mario Kieburg, Peter J. Forrester, Jesper Ipsen Projects: C6
Submission Date: 14.12.2017 Submitter:
Download: PDF Link: 17040

17038 Gernot Akemann, Eugene Strahov PDF

Product matrix processes for coupled multi-matrix models and their hard edge scaling limits

Project: C6

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Product matrix processes for coupled multi-matrix models and their hard edge scaling limits


Authors: Gernot Akemann, Eugene Strahov Projects: C6
Submission Date: 14.12.2017 Submitter:
Download: PDF Link: 17038



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