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Gernot Akemann

Gernot Akemann

D-Index & Metrics

Mathematics

D-Index
41
Citations
5662
World Ranking
1945
National Ranking
119

Overview

Gernot Akemann is affiliated with Bielefeld University in Germany and focuses on research primarily within the field of Mathematics. Their work spans several subfields, including Statistics and Probability, Mathematical Physics, Discrete Mathematics and Combinatorics, Geometry and Topology, as well as Statistical and Nonlinear Physics.

The core topics of their research encompass Random Matrices and Applications, Advanced Combinatorial Mathematics, Advanced Algebra and Geometry, Algebraic structures and combinatorial models, Quantum chaos and dynamical systems, Stochastic processes and statistical mechanics, and Molecular spectroscopy and chirality.

Frequent co-authors collaborating with Akemann include Sung-Soo Byun, Patricia Päßler, Markus Ebke, Adam Mielke, and Mario Kieburg.

Akemann has published extensively, with noteworthy venues including arXiv (Cornell University), Journal of Physics A Mathematical and Theoretical, Journal of Mathematical Physics, Physical review. E, and Physical Review Research.

Some of the recent publications include:

  • A Non-Hermitian Generalisation of the Marchenko-Pastur Distribution: From the Circular Law to Multi-criticality (2020, Annales Henri Poincaré)
  • The elliptic Ginibre ensemble: A unifying approach to local and global statistics for higher dimensions (2023, Journal of Mathematical Physics)
  • Universality of local spectral statistics of products of random matrices (2020, Physical review. E)
  • Skew-orthogonal polynomials in the complex plane and their Bergman-like kernels (2021, arXiv (Cornell University))
  • Spacing distribution in the two-dimensional Coulomb gas: Surmise and symmetry classes of non-Hermitian random matrices at noninteger β (2022, Physical review. E)

Best Publications

  • The Oxford Handbook of Random Matrix Theory

    Gernot Akemann;Jinho Baik;Philippe Di Francesco

  • Universality of random matrices in the microscopic limit and the Dirac operator spectrum

    Gernot Akemann;P. H. Damgaard;U. Magnea;S. Nishigaki

  • Higher genus correlators for the Hermitian matrix model with multiple cuts

    Gernot Akemann

  • Products of rectangular random matrices: Singular values and progressive scattering

    Gernot Akemann;Jesper R. Ipsen;Mario Kieburg

  • Singular value correlation functions for products of Wishart random matrices

    Gernot Akemann;Mario Kieburg;Mario Kieburg;Lu Wei;Lu Wei

  • RECENT EXACT AND ASYMPTOTIC RESULTS FOR PRODUCTS OF INDEPENDENT RANDOM MATRICES

    Gernot Akemann;Jesper R Ipsen

  • Universal microscopic correlation functions for products of independent Ginibre matrices

    Gernot Akemann;Zdzislaw Burda

  • Universal Signature from Integrability to Chaos in Dissipative Open Quantum Systems.

    Gernot Akemann;Mario Kieburg;Adam Mielke;Tomaž Prosen

  • Unquenched QCD Dirac operator spectra at nonzero baryon chemical potential

    Gernot Akemann;J. C. Osborn;K. Splittorff;J. J. M. Verbaarschot

  • The complex Laguerre symplectic ensemble of non-Hermitian matrices

    Gernot Akemann

  • Characteristic Polynomials of Complex Random Matrix Models

    Gernot Akemann;G. Vernizzi

  • Characteristic polynomials in real Ginibre ensembles

    Gernot Akemann;M. J. Phillips;H. J. Sommers

  • Spectrum of the Wilson Dirac Operator at Finite Lattice Spacings

    Gernot Akemann;P. H. Damgaard;K. Splittorff;J. J. M. Verbaarschot

  • Integrable Structure of Ginibre’s Ensemble of Real Random Matrices and a Pfaffian Integration Theorem

    Gernot Akemann;Eugene Kanzieper

  • New universal spectral correlators

    G Akemann;J Ambjørn

  • MATRIX MODELS AND QCD WITH CHEMICAL POTENTIAL

    Gernot Akemann

  • The chiral Gaussian two-matrix ensemble of real asymmetric matrices

    Gernot Akemann;M. J. Phillips;H. J. Sommers

  • Wilson loops in N = 4 supersymmetric Yang–Mills theory from random matrix theory

    G. Akemann;P. H. Damgaard

  • Statistics of real eigenvalues in Ginibre's ensemble of random real matrices.

    Eugene Kanzieper;Gernot Akemann

  • Multicritical Microscopic Spectral Correlators of Hermitian and Complex Matrices

    Gernot Akemann;P. H. Damgaard;U. Magnea;S. M. Nishigaki

Frequent Co-Authors

Yan V. Fyodorov
Yan V. Fyodorov King's College London
Hans-Jürgen Sommers
Hans-Jürgen Sommers University of Duisburg-Essen
Thomas Guhr
Thomas Guhr University of Duisburg-Essen
Giuseppe Caire
Giuseppe Caire Technical University of Berlin
Jinho Baik
Jinho Baik University of Michigan–Ann Arbor
Friedrich Götze
Friedrich Götze Bielefeld University
Michael Baake
Michael Baake Bielefeld University

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