Mario Kieburg

Local tail statistics of heavy-tailed random matrix ensembles with unitary invariance

M Kieburg, A Monteleone

Journal article  |  2021  |  JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

We study heavy-tailed Hermitian random matrices that are unitarily invariant. The invariance implies that the eigenvalue and eigen..

Harmonic analysis for rank-1 randomised Horn problems

Jiyuan Zhang, Mario Kieburg, Peter J Forrester

Journal article  |  2021  |  LETTERS IN MATHEMATICAL PHYSICS

The randomised Horn problem, in both its additive and multiplicative versions, has recently drawn an increasing interest. Especial..

Page curve for fermionic Gaussian states

Eugenio Bianchi, Lucas Hackl, Mario Kieburg

Journal article  |  2021  |  PHYSICAL REVIEW B

In a seminal paper, Page found the exact formula for the average entanglement entropy for a pure random state. We consider the ana..

Cascade of phase transitions in a planar Dirac material

T Kanazawa, M Kieburg, JJM Verbaarschot

Journal article  |  2021  |  Journal of High Energy Physics

We investigate a model of interacting Dirac fermions in 2 + 1 dimensions with M flavors and N colors having the U(M)×SU(N) symmetr..

New term in effective field theory at fixed topology

M Kieburg, M Lauritzen, BT Sogaard, K Splittorff

Journal article  |  2021  |  PHYSICAL REVIEW D

A random matrix model for lattice QCD which takes into account the positive definite nature of the Wilson term is introduced. The ..

Universality of local spectral statistics of products of random matrices

Gernot Akemann, Zdzislaw Burda, Mario Kieburg

Journal article  |  2020  |  PHYSICAL REVIEW E

We derive exact analytical expressions for correlation functions of singular values of the product of M Ginibre matrices of size N..

Additive matrix convolutions of Polya ensembles and polynomial ensembles

Mario Kieburg

Journal article  |  2020  |  RANDOM MATRICES-THEORY AND APPLICATIONS

Recently, subclasses of polynomial ensembles for additive and multiplicative matrix convolutions were identified which were called..

Polynomial Ensembles and Polya Frequency Functions

Yanik-Pascal Foerster, Mario Kieburg, Holger Koesters

Journal article  |  2020  |  JOURNAL OF THEORETICAL PROBABILITY

We study several kinds of polynomial ensembles of derivative type which we propose to call Pólya ensembles. These ensembles are de..

Products of Complex Rectangular and Hermitian Ranaom Matrices

Mario Kieburg

Journal article  |  2020  |  ADVANCES IN PURE AND APPLIED MATHEMATICS

Universal eigenvector correlations in quaternionic Ginibre ensembles

Gernot Akemann, Yanik-Pascal Forster, Mario Kieburg

Journal article  |  2020  |  JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

Non-Hermitian random matrices enjoy non-trivial correlations in the statistics of their eigenvectors. We study the overlap among l..