6 citations · 34 across the 38 of their papers we have counts for
41 papers
Spectral measure of large random Helson matrices
Yanqi Qiu, Guocheng Zhen
We study the limiting spectral measure of large random Helson matrices and large random matrices of certain patterned structures. Given a real random variable $X \in L^{2+ \varepsi…
Truncations of random unitary matrices drawn from Hua-Pickrell distribution
Zhaofeng Lin, Yanqi Qiu, Kai Wang
Let be a random unitary matrix drawn from the Hua-Pickrell distribution on the unitary group . We show that the eigenvalues of the…
Complete weighted Bergman spaces have bounded point evaluations
Yong Han, Yanqi Qiu, Zipeng Wang
Let be an arbitrary domain in the one-dimensional complex plane equipped with a positive Radon measure . For any , it is shown that the wei…
Da Lio-Rivière-Wettstein-type inequality for weighted Bergman spaces
Yong Han, Yanqi Qiu, Zipeng Wang
In this paper, inspired by the work of Da Lio-Rivière-Wettstein, we investigate the boundary-value characterizations of weighted Bergman spaces and establish a weighted Da Lio-Rivi…
Boundedness of Gaussian random sums on trees
Yong Han, Yanqi Qiu, Zipeng Wang
Let be a rooted tree endowed with the natural partial order . Let be a sequence of independent standard Gaussian random variables…
The Patterson-Sullivan Interpolation of Pluriharmonic Functions for Determinantal Point Processes on Complex Hyperbolic Spaces
Alexander I. Bufetov, Yanqi Qiu
The Patterson-Sullivan construction is proved almost surely to recover a Bergman function from its values on a random discrete subset sampled with the determinantal point process i…
Gaussian limit for determinantal point processes with -Hermitian kernels
Zhaofeng Lin, Yanqi Qiu, Kai Wang
We show that the central limit theorem for linear statistics over determinantal point processes with -Hermitian kernels holds under fairly general conditions. In particular, We…
On a class of random sets of positive integers
Yong Han, Yanqi Qiu, Zipeng Wang
In this note, we study a class of random subsets of positive integers induced by Bernoulli random variables. We obtain sufficient conditions such that the random set is almost sure…
The metric projections onto closed convex cones in a Hilbert space
Yanqi Qiu, Zipeng Wang
We study the metric projection onto the closed convex cone in a real Hilbert space generated by a sequence . The first main result…
Rigidity of determinantal point processes on the unit disc with sub-Bergman kernels
Yanqi Qiu, Kai Wang
We give natural constructions of number rigid determinantal point processes on the unit disc with sub-Bergman kernels of the form \[ K_Λ(z, w) = \sum_{n\in Λ}(n+1) z^n…
Hyper-positive definite functions II: A complete study of branching-Toeplitz operators
Yanqi Qiu, Zipeng Wang
We introduce and give a more or less complete study of a family of branching-Toeplitz operators on the Hilbert space indexed by a rooted homogeneous tree of deg…
Conditional measures for Pfaffian point processes: conditioning on a bounded domain
Alexander I. Bufetov, Fabio Deelan Cunden, Yanqi Qiu
For a Pfaffian point process we show that its Palm measures, its normalised compositions with multiplicative functionals, and its conditional measures with respect to fixing the co…
Radial Toeplitz operators and invariant determinantal point processes on Cayley trees
Yanqi Qiu
We give a complete description of bounded radial Toeplitz operators on the Hilbert space associated with a Cayley tree. As an application, we give a complete classification of a ri…
Hyper-positive definite functions I: scalar case, branching-type stationary stochastic processes
Yanqi Qiu, Zipeng Wang
We propose a definition of branching-type stationary stochastic processes on rooted trees and related definitions of hyper-positivity for functions on the unit circle and functions…
Stationary determinantal processes: -mixing property and -dimensions
Shilei Fan, Lingmin Liao, Yanqi Qiu
The results of this paper are 3-folded. Firstly, for any stationary determinantal process on the integer lattice, induced by strictly positive and strictly contractive involution k…
On a result of Bożejko on extension of positive definite kernels
Yanqi Qiu
A conceptual proof of the result of Bo{ż}ejko on extension of positive definite kernels is given.
On Number Rigidity for Pfaffian Point Processes
Alexander I. Bufetov, Pavel P. Nikitin, Yanqi Qiu
Our first result states that the orthogonal and symplectic Bessel processes are rigid in the sense of Ghosh and Peres. Our argument in the Bessel case proceeds by an estimate of th…
Patterson-Sullivan measures for point processes and the reconstruction of harmonic functions
Alexander I. Bufetov, Yanqi Qiu
The Patterson-Sullivan construction is proved almost surely to recover every harmonic function in a certain Banach space from its values on the zero set of a Gaussian analytic func…
Spectral gap of sparse bistochastic matrices with exchangeable rows with application to shuffle-and-fold maps
Charles Bordenave, Yanqi Qiu, Yiwei Zhang
We consider a random bistochastic matrix of size of the form where is a uniformly distributed permutation matrix and is a given bistochastic matrix. Under mild sp…
Some properties of stationary determinantal point processes on
Ai-hua Fan, Shi-lei Fan, Yan-qi Qiu
We study properties of stationary determinantal point processes $\X$ on from different points of views. It is proved that $\X\cap \N$ is almost surely Bohr-dense and good univ…
A rigidity property of superpositions involving determinantal processes
Yanqi Qiu
The main result of this paper states that if is a pair of independent point processes on a common ground space with Poisson and determinantal induced by a locally…
Equivalence of Palm measures for determinantal point processes governed by Bergman kernels
Alexander I. Bufetov, Shilei Fan, Yanqi Qiu
For a determinantal point process induced by the reproducing kernel of the weighted Bergman space over a domain , we establish the mutual absolu…
Invariant measures for the actions of the modular group
Shilei Fan, Yanqi Qiu
In this note, we give a nature action of the modular group on the ends of the infinite (p + 1)-cayley tree, for each prime p. We show that there is a unique invariant probability m…
Rigid stationary determinantal processes in non-Archimedean fields
Yanqi Qiu
Let be a non-discrete non-Archimedean local field. For any subset with finite Haar measure, there is a stationary determinantal point process on with correlati…