Universality in the number variance and counting statistics of the real and symplectic Ginibre ensemble
In this article, we compute and compare the statistics of the number of eigenvalues in a
centred disc of radius R in all three Ginibre ensembles. We determine the mean and …
centred disc of radius R in all three Ginibre ensembles. We determine the mean and …
Determinantal structure of the overlaps for induced spherical unitary ensemble
K Noda - arxiv preprint arxiv:2312.12690, 2023 - arxiv.org
In this note, we study the determinantal structure of the $ k $-th conditional expectation of the
overlap for induced spherical unitary ensemble. We will show the universality for the scaling …
overlap for induced spherical unitary ensemble. We will show the universality for the scaling …
Interactions between different birds of prey as a random point process
Abstract The two-dimensional (2D) Coulomb gas is a one-parameter family of random point
processes, depending on the inverse temperature β. Based on previous work, it is proposed …
processes, depending on the inverse temperature β. Based on previous work, it is proposed …
Determinantal structure of the conditional expectation of the overlaps for the induced Ginibre unitary ensemble
K Noda - arxiv preprint arxiv:2310.15362, 2023 - arxiv.org
As is widely known, a non-Hermitian matrix exhibits distinct left and right eigenvectors, which
form a bi-orthogonal system. Chalker and Mehling initiated the study of the joint statistics of …
form a bi-orthogonal system. Chalker and Mehling initiated the study of the joint statistics of …
-body antibunching in a degenerate Fermi gas of atoms
A key set of observables for investigating quantum systems are the n-body correlation
functions, which provide a powerful tool for experimentally determining coherence and …
functions, which provide a powerful tool for experimentally determining coherence and …
[PDF][PDF] Turning repulsive point processes into subsampling algorithms
R Bardenet - 2022 - hal.science
My first thanks go to my reviewers Patrick Flandrin, Arthur Gretton, and Judith Rousseau, for
accepting to referee this manuscript, to Pierre-Olivier Amblard, Peter Grünwald, and …
accepting to referee this manuscript, to Pierre-Olivier Amblard, Peter Grünwald, and …
On sampling determinantal and Pfaffian point processes on a quantum computer
DPPs were introduced by Macchi as a model in quantum optics the 1970s. Since then, they
have been widely used as models and subsampling tools in statistics and computer science …
have been widely used as models and subsampling tools in statistics and computer science …