Results 11 to 20 of about 182,487 (307)
The discrepancy of random rectangular matrices [PDF]
Random Structures & Algorithms, 2021 AbstractA recent approach to the Beck–Fiala conjecture, a fundamental problem in combinatorics, has been to understand when random integer matrices have constant discrepancy. We give a complete answer to this question for two natural models: matrices with Bernoulli or Poisson entries.
Dylan J. Altschuler, Jonathan Niles-Weed
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Statistical Topology—Distribution and Density Correlations of Winding Numbers in Chiral Systems
Entropy, 2023 Statistical Topology emerged as topological aspects continue to gain importance in many areas of physics. It is most desirable to study topological invariants and their statistics in schematic models that facilitate the identification of universalities ...
Thomas Guhr
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Sparse block-structured random matrices: universality
Journal of Physics: Complexity, 2023 We study ensembles of sparse block-structured random matrices generated from the adjacency matrix of a Erdös–Renyi random graph with N vertices of average degree Z , inserting a real symmetric d × d random block at each non-vanishing entry. We consider
Giovanni M Cicuta, Mario Pernici
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QCD Effective Locality: A Theoretical and Phenomenological Review
Universe, 2021 About ten years ago, the use of standard functional manipulations was demonstrated to imply an unexpected property satisfied by the fermionic Green’s functions of QCD and dubbed Effective Locality.
Herbert M. Fried +3 more
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Replicas for random matrices [PDF]
International Journal of Modern Physics A, 2022 We discuss the use of the replica ansatz in computing free energies in random matrix theory and confirm a conjectured condition on analytic continuation in the replica index at large-[Formula: see text].
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Calabi-Yau CFTs and random matrices
Journal of High Energy Physics, 2022 Using numerical methods for finding Ricci-flat metrics, we explore the spectrum of local operators in two-dimensional conformal field theories defined by sigma models on Calabi-Yau targets at large volume.
Nima Afkhami-Jeddi +2 more
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Volumes And Random Matrices [PDF]
The Quarterly Journal of Mathematics, 2021 AbstractThis article is an introduction to newly discovered relations between volumes of moduli spaces of Riemann surfaces or super Riemann surfaces, simple models of gravity or supergravity in two dimensions, and random matrix ensembles. (The article is based on a lecture at the conference on the Mathematics of Gauge Theory and String Theory ...
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Rooted trees and moments of large sparse random matrices [PDF]
Discrete Mathematics & Theoretical Computer Science, 2003 In these expository paper we describe the role of the rooted trees as a base for convenient tools in studies ofrandom matrices. Regarding the Wigner ensemble of random matrices, we represent main ingredients ofthis approach.
Oleksiy Khorunzhiy
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Random antagonistic matrices [PDF]
Journal of Physics A: Mathematical and Theoretical, 2016 The ensemble of antagonistic matrices is introduced and studied. In antagonistic matrices the entries $\mathcal A_{i,j}$ and $\mathcal A_{j,i}$ are real and have opposite signs, or are both zero, and the diagonal is zero. This generalization of antisymmetric matrices is suggested by the linearized dynamics of competitive species in ecology.
G. M. Cicuta, L.G. Molinari
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Broadcasting with Random Matrices
CoRR, 2023 Motivated by the theory of spin-glasses in physics, we study the so-called reconstruction problem for the related distributions on the tree, and on the sparse random graph $G(n,d/n)$. Both cases, reduce naturally to studying broadcasting models on the tree, where each edge has its own broadcasting matrix, and this matrix is drawn independently from a ...
Efthymiou, Charilaos, Zampetakis, Kostas
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