Results 101 to 110 of about 3,040,184 (131)

Vibrational spectrum of Granular packings with random matrices. [PDF]

Eur Phys J E Soft Matter
Narayan O, Mathur H.
europepmc   +1 more source

The nature of non-phononic excitations in disordered systems. [PDF]

Nat Commun
Schirmacher W, Paoluzzi M, Mocanu FC, Khomenko D, Szamel G, Zamponi F, Ruocco G.   +6 more
europepmc   +1 more source

Introduction to correlation networks: Interdisciplinary approaches beyond thresholding. [PDF]

Phys Rep
Masuda N, Boyd ZM, Garlaschelli D, Mucha PJ.   +3 more
europepmc   +1 more source

Interplay between MRI-based axon diameter and myelination estimates in macaque and human brain. [PDF]

Imaging Neurosci (Camb)
Gong T, Maffei C, Dann E, Lee HH, Lee H, Augustinack JC, Huang SY, Haber SN, Yendiki A.   +8 more
europepmc   +1 more source

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On the moments of roots of Laguerre-polynomials and the Marchenko–Pastur law

Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio computatorica, 2016
In this paper we compute the leading terms in the sum of the $k^{th}$ power of the roots of $L_{p}^{(\alpha)}$, the Laguerre-polynomial of degree $p$ with parameter $\alpha$.
M. Kornyik, G. Michaletzky
semanticscholar   +1 more source

A Non-Hermitian Generalisation of the Marchenko–Pastur Distribution: From the Circular Law to Multi-criticality

Annales de l'Institute Henri Poincare. Physique theorique, 2020
We consider the complex eigenvalues of a Wishart type random matrix model X=X1X2∗\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage ...
G. Akemann, Sunggyu Byun, Nam-Gyu Kang
semanticscholar   +1 more source

Marchenko-pastur law for the spectrum of a random weighted bipartite graph

Matematicheskie trudy
This study investigates the spectra of random weighted bipartite graphs. We establish that under specific assumptions on the edge probabilities, the empirical spectral distribution function of the graph's adjacency matrix converges to the symmetrized ...
A. V. Nadutkina, A. Tikhomirov, D. A. Timushev   +2 more
semanticscholar   +1 more source

Exact simulation of the Marchenko-Pastur distribution

Statistics & Probability Letters
. The Marchenko-Pastur law (Marchenko and Pastur, 1967) describes the limit law of eigenvalues of large rectangular matrices. We give two efficient algorithms for simulating random variables from this distribution.
Luc Devroye
semanticscholar   +1 more source

Marchenko–Pastur Laws for Daniell Smoothed Periodograms

Journal of Time Series Analysis
Given a sample from a ‐dimensional stationary time series , the most commonly used estimator for the spectral density matrix at a given frequency is the Daniell smoothed periodogram which is an average over many periodograms at slightly perturbed ...
Ben Deitmar
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Models of Heavy-Tailed Mechanistic Universality

International Conference on Machine Learning
Recent theoretical and empirical successes in deep learning, including the celebrated neural scaling laws, are punctuated by the observation that many objects of interest tend to exhibit some form of heavy-tailed or power law behavior. In particular, the
Liam Hodgkinson, Zhichao Wang, Michael W. Mahoney   +2 more
semanticscholar   +1 more source