Winding number statistics for chiral random matrices: Averaging ratios of parametric determinants in the orthogonal case

Winding number statistics for chiral random matrices: Averaging ratios of determinants with parametric dependence

(2023) Nico Hahn et al.   JOURNAL OF MATHEMATICAL PHYSICS

Statistical Topology—Distribution and Density Correlations of Winding Numbers in Chiral Systems

(2023) Thomas Guhr   Entropy

The Characteristic Polynomial of a Random Matrix

(2022) Sean Eberhard   COMBINATORICA

Winding number statistics of a parametric chiral unitary random matrix ensemble*

(2022) Petr Braun et al.   Journal of Physics A-Mathematical and Theoretical

Robust behavior and spin-texture stability of the topological surface state in Bi2Se3 upon deposition of gold

(2022) O. J. Clark et al.   npj Quantum Materials

Stability of topological purity under random local unitaries

(2022) Salvatore Francesco Emanuele Oliviero et al.   SciPost Physics

Particle–hole symmetries in condensed matter

(2021) Martin R. Zirnbauer   JOURNAL OF MATHEMATICAL PHYSICS

Averages of Products and Ratios of Characteristic Polynomials in Polynomial Ensembles

(2020) Gernot Akemann et al.   ANNALES HENRI POINCARE

Bulk-Boundary Correspondence for Disordered Free-Fermion Topological Phases

(2019) Alexander Alldridge et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Topological characterization of chiral models through their long time dynamics

(2018) Maria Maffei et al.   NEW JOURNAL OF PHYSICS

Kac–Rice fixed point analysis for single- and multi-layered complex systems

(2018) J R Ipsen et al.   Journal of Physics A-Mathematical and Theoretical

An induced real quaternion spherical ensemble of random matrices

(2017) Anthony Mays et al.   Random Matrices-Theory and Applications

Classification of topological quantum matter with symmetries

(2016) Ching-Kai Chiu et al.   REVIEWS OF MODERN PHYSICS

The characteristic polynomial of a random unitary matrix and Gaussian multiplicative chaos - The $L^2$-phase

(2015) Christian Webb   ELECTRONIC JOURNAL OF PROBABILITY

Weak commutation relations and eigenvalue statistics for products of rectangular random matrices

(2014) Jesper R. Ipsen et al.   PHYSICAL REVIEW E

A Real Quaternion Spherical Ensemble of Random Matrices

(2013) Anthony Mays   JOURNAL OF STATISTICAL PHYSICS

A Short Proof of Stability of Topological Order under Local Perturbations

(2011) Sergey Bravyi et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

One-component plasma on a spherical annulus and a random matrix ensemble

(2011) Jonit Fischmann et al.   JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

Pfaffian point process for the Gaussian real generalised eigenvalue problem

(2011) Peter J. Forrester et al.   PROBABILITY THEORY AND RELATED FIELDS

A new approach to derive Pfaffian structures for random matrix ensembles

(2010) Mario Kieburg et al.   Journal of Physics A-Mathematical and Theoretical

Derivation of determinantal structures for random matrix ensembles in a new way

(2010) Mario Kieburg et al.   Journal of Physics A-Mathematical and Theoretical

Skew-orthogonal Laguerre polynomials for chiral real asymmetric random matrices

(2010) G Akemann et al.   Journal of Physics A-Mathematical and Theoretical

Derivation of an eigenvalue probability density function relating to the Poincaré disk

(2009) Peter J Forrester et al.   Journal of Physics A-Mathematical and Theoretical

The characteristic polynomial of a random unitary matrix: A probabilistic approach

(2008) P. Bourgade et al.   DUKE MATHEMATICAL JOURNAL

General eigenvalue correlations for the real Ginibre ensemble

(2008) Hans-Jürgen Sommers et al.   Journal of Physics A-Mathematical and Theoretical

Classification of topological insulators and superconductors in three spatial dimensions

(2008) Andreas P. Schnyder et al.   PHYSICAL REVIEW B