Determinantal processes and completeness of random exponentials: the critical case
From MaRDI portal
Publication:892163
DOI10.1007/s00440-014-0601-9zbMath1334.60083arXiv1211.2435OpenAlexW1989063865MaRDI QIDQ892163
Publication date: 18 November 2015
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1211.2435
Random fields (60G60) Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Classical equilibrium statistical mechanics (general) (82B05) General harmonic expansions, frames (42C15) Random measures (60G57) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
Related Items
A survey on determinantal point processes, Rigidity of determinantal point processes with the Airy, the Bessel and the gamma kernel, Coulomb and Riesz gases: The known and the unknown, A Palm hierarchy for determinantal point processes with the Bessel kernel, Point processes, hole events, and large deviations: random complex zeros and Coulomb gases, Universality for conditional measures of the sine point process, Ergodicity of unlabeled dynamics of Dyson’s model in infinite dimensions, On spatial conditioning of the spectrum of discrete random Schrödinger operators, Mixing properties and central limit theorem for associated point processes, The conditional measures for the determinantal point process with the Bergman kernel, Harmonic analysis in phase space and finite Weyl-Heisenberg ensembles, New Hilbert space tools for analysis of graph Laplacians and Markov processes, On the ergodicity of interacting particle systems under number rigidity, Fluctuations of the Process of Moduli for the Ginibre and Hyperbolic Ensembles, Conditional measures of determinantal point processes, Rigid stationary determinantal processes in non-Archimedean fields, Unnamed Item, Rigidity of the \(\operatorname{Sine} _{\beta }\) process, Spectral structures and topological methods in mathematical quasicrystals. Abstracts from the workshop held October 1--7, 2017, Fluctuations, large deviations and rigidity in hyperuniform systems: a brief survey, Quasi-symmetries of determinantal point processes, Generalized stealthy hyperuniform processes: maximal rigidity and the bounded holes conjecture, \(J\)-Hermitian determinantal point processes: balanced rigidity and balanced palm equivalence, Determinantal point processes associated with Hilbert spaces of holomorphic functions, Conditional measures of generalized Ginibre point processes, Number rigidity in superhomogeneous random point fields, Linear rigidity of stationary stochastic processes, Kernels of conditional determinantal measures and the Lyons-Peres completeness conjecture, Absolute continuity and singularity of palm measures of the Ginibre point process, Stationary determinantal processes on \({\mathbb{Z}}^d\) with \(N\) labeled objects per site. I: Basic properties and full domination, Fluctuation and entropy in spectrally constrained random fields, Rigidity hierarchy in random point fields: random polynomials and determinantal processes, A sharp rate of convergence for the empirical spectral measure of a random unitary matrix, Rigidity of determinantal point processes on the unit disc with sub-Bergman kernels, Spectral rigidity of random Schrödinger operators via Feynman-Kac formulas, Determinantal point processes and fermion quasifree states, Ground states and hyperuniformity of the hierarchical Coulomb gas in all dimensions, Rigidity of the three-dimensional hierarchical Coulomb gas
Cites Work
- Unnamed Item
- Unnamed Item
- Insertion and deletion tolerance of point processes
- Random perturbations of exponential Riesz bases in \(L^ 2(-\pi,\pi)\)
- Completeness of sets of complex exponentials
- The components of the wired spanning forest are recurrent
- Random point fields associated with certain Fredholm determinants. I: Fermion, Poisson and Boson point processes.
- Stationary determinantal processes: phase multiplicity, Bernoullicity, entropy, and domination
- Determinantal probability measures
- The palm measure and the Voronoi tessellation for the Ginibre process
- Rigidity and tolerance in point processes: Gaussian zeros and Ginibre eigenvalues
- On completeness of random exponentials in the Bargmann–Fock space
- Determinantal random point fields
- An Introduction to Random Matrices
- Completeness and Basis Properties of Complex Exponentials
- Density theorems for sampling and interpolation \\ in the Bargmann-Fock space
- The Beurling-Malliavin density of a random sequence
- An Introduction to the Theory of Point Processes
