[图书][B] Lectures on the Poisson process

G Last, M Penrose - 2017 - books.google.com
The Poisson process, a core object in modern probability, enjoys a richer theory than is
sometimes appreciated. This volume develops the theory in the setting of a general abstract …

Determinantal point processes for machine learning

A Kulesza, B Taskar - Foundations and Trends® in Machine …, 2012 - nowpublishers.com
Determinantal point processes (DPPs) are elegant probabilistic models of repulsion that
arise in quantum physics and random matrix theory. In contrast to traditional structured …

[图书][B] Zeros of Gaussian analytic functions and determinantal point processes

JB Hough, M Krishnapur, Y Peres - 2009 - books.google.com
" The book examines in some depth two important classes of point processes, determinantal
processes and" Gaussian zeros", ie, zeros of random analytic functions with Gaussian …

Progress on the study of the Ginibre ensembles I: GinUE

SS Byun, PJ Forrester - arXiv preprint arXiv:2211.16223, 2022 - arxiv.org
The Ginibre unitary ensemble (GinUE) consists of $ N\times N $ random matrices with
independent complex standard Gaussian entries. This was introduced in 1965 by Ginbre …

Determinantal processes and independence

JB Hough, M Krishnapur, Y Peres, B Virág - 2006 - projecteuclid.org
We give a probabilistic introduction to determinantal and permanental point processes.
Determinantal processes arise in physics (fermions, eigenvalues of random matrices) and in …

Determinantal point process models and statistical inference

F Lavancier, J Møller, E Rubak - Journal of the Royal Statistical …, 2015 - academic.oup.com
Statistical models and methods for determinantal point processes (DPPs) seem largely
unexplored. We demonstrate that DPPs provide useful models for the description of spatial …

A tutorial on Palm distributions for spatial point processes

JF Coeurjolly, J Møller… - International Statistical …, 2017 - Wiley Online Library
This tutorial provides an introduction to Palm distributions for spatial point processes.
Initially, in the context of finite point processes, we give an explicit definition of Palm …

Modern statistics for spatial point processes

J Møller, RP Waagepetersen - Scandinavian Journal of …, 2007 - Wiley Online Library
We summarize and discuss the current state of spatial point process theory and directions
for future research, making an analogy with generalized linear models and random effect …

Determinantal probability measures

R Lyons - Publications Mathématiques de l'IHÉS, 2003 - numdam.org
Determinantal point processes have arisen in diverse settings in recent years and have
been investigated intensively. We study basic combinatorial and probabilistic aspects in the …

Wireless-powered device-to-device communications with ambient backscattering: Performance modeling and analysis

X Lu, H Jiang, D Niyato, DI Kim… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
The recent advanced wireless energy harvesting technology has enabled wireless-powered
communications to accommodate wireless data services in a self-sustainable manner …