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20032026
most citedPlanck 2015 results. XIII. Cosmological parameters

10.6k citations

Showing 2013 · math.PRShow all

6 papers · 2 filters

math.PR2013

Random Abstract Simplicial Complexes Reduction

Anaïs Vergne, Laurent Decreusefond, Philippe Martins

Random abstract simplicial complex representation provides a mathematical description of wireless networks and their topology. In order to reduce the energy consumption in this typ…

math.PR2013★ 4 cited

Perfect Simulation of Determinantal Point Processes

Laurent Decreusefond, Ian Flint, Kah Choon Low

Determinantal point processes (DPP) serve as a practicable modeling for many applications of repulsive point processes. A known approach for simulation was proposed in \cite{Hough(…

math.PR2013

Analysis of the limiting spectral measure of large random matrices of the separable covariance type

Romain Couillet, Walid Hachem

Consider the random matrix where and are deterministic Hermitian nonnegative matrices with respective dimensions a…

math.PR2013

Central Limit Theorems for Stochastic Approximation with controlled Markov chain dynamics

Gersende Fort

This paper provides a Central Limit Theorem (CLT) for a process satisfying a stochastic approximation (SA) equation of the form $θ_{n+1} = θ_n + γ_{n+1} H(θ_n,X_…

math.PR2013★ 59 cited

Gaussian fluctuations for linear spectral statistics of large random covariance matrices

Jamal Najim, Jianfeng Yao

Consider a matrix , where is a nonnegative definite Hermitian matrix and is a random matrix with i.i.d. real or complex…

math.PR2013★ 1 cited

Quantitative convergence rates for sub-geometric Markov chains

Christophe Andrieu, Gersende Fort, Matti Vihola

We provide explicit expressions for the constants involved in the characterisation of ergodicity of sub-geometric Markov chains. The constants are determined in terms of those appe…