Results 61 to 70 of about 30,222 (232)

Representation of solutions of discrete linear delay systems with non permutable matrices [PDF]

open access: yesApplied Mathematics Letters, 2018
We introduce a discrete delayed exponential depending on sequence of matrices. This discrete matrix gives a representation of a solution to the Cauchy problem for a discrete linear system with pure delay with sequence of matrices.
N. Mahmudov
semanticscholar   +1 more source

On equal-input and monotone Markov matrices [PDF]

open access: yesAdvances in Applied Probability, 2020
The practically important classes of equal-input and of monotone Markov matrices are revisited, with special focus on embeddability, infinite divisibility, and mutual relations.
M. Baake, J. Sumner
semanticscholar   +1 more source

Commutants for Some Classes of Hausdorff Matrices [PDF]

open access: yesProceedings of the American Mathematical Society, 1995
Let Γ \Gamma denote the algebra of all bounded infinite matrices on c, the space of convergent sequences, Δ \Delta the subalgebra of Γ \Gamma consisting of lower triangular matrices. It is well known that, if H is any Hausdorff matrix with distinct diagonal entries, then the commutant of H in
openaire   +2 more sources

A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws

open access: yesAdvanced Intelligent Discovery, EarlyView.
The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows   +7 more
wiley   +1 more source

On the Further Properties of the MPBT Inverse and Applications to Special Matrices

open access: yesMathematics
This paper aims to simplify the form of the MPBT inverse, further explore its properties, and discuss when it coincides with other generalized inverses. Notably, the MPBT inverse coincides with the Moore–Penrose inverse when the index of the matrix is at
Tingyu Zhao, Yuefeng Gao
doaj   +1 more source

Universal distribution of Lyapunov exponents for products of Ginibre matrices [PDF]

open access: yes, 2014
Starting from exact analytical results on singular values and complex eigenvalues of products of independent Gaussian complex random $N\times N$ matrices also called Ginibre ensemble we rederive the Lyapunov exponents for an infinite product.
Akemann, Gernot   +2 more
core   +1 more source

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

open access: yesAdvanced Intelligent Discovery, EarlyView.
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source

Matrix theory origins of non-geometric fluxes

open access: yes, 2012
We explore the origins of non-geometric fluxes within the context of M theory described as a matrix model. Building upon compactifications of Matrix theory on non-commutative tori and twisted tori, we formulate the conditions which describe ...
A Chatzistavrakidis   +68 more
core   +1 more source

A class of parameter-dependent commuting matrices [PDF]

open access: yesJournal of Physics A: Mathematical and General, 2005
Latex, Added References, Typos ...
openaire   +3 more sources

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

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