Results 71 to 80 of about 1,586,511 (197)

On the Convergence Rate of the Caputo Fractional Difference Logistic Map of Nilpotent Matrices

Fractal and Fractional
The convergence rate of the Caputo fractional difference logistic map of nilpotent matrices is investigated in this paper. The divergence rate of the auxiliary parameters governing the dynamics of nilpotents is exponential and is multiple to the Lyapunov
Rasa Smidtaite, Algirdas Kazlauskas, Mark Edelman, Minvydas Ragulskis   +3 more
doaj   +1 more source

The general solution to an autoregressive law of motion

Quantitative Economics, Volume 17, Issue 3, Page 791-826, July 2026.
We provide a complete description of the set of all solutions to a vector autoregressive law of motion. Every solution is shown to be the sum of three components, each corresponding to a directed flow of time. One component flows forward from the arbitrarily distant past, one flows backward from the arbitrarily distant future, and one flows outward ...
Brendan K. Beare, Massimo Franchi, Phil Howlett   +2 more
wiley   +1 more source

Instantons on Calabi-Yau and hyper-Kähler cones

Journal of High Energy Physics, 2017
The instanton equations on vector bundles over Calabi-Yau and hyper-Kähler cones can be reduced to matrix equations resembling Nahm’s equations. We complement the discussion of Hermitian Yang-Mills (HYM) equations on Calabi-Yau cones, based on regular ...
Jakob C. Geipel, Marcus Sperling
doaj   +1 more source

On the cohomology of finite‐dimensional nilpotent groups and Lie rings

Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract We establish vanishing results for the first cohomology group of nilpotent groups and Lie rings when the submodule of invariants is trivial. Our results are obtained within a model‐theoretic setting, namely for structures that are definable in a finite‐dimensional theory, which encompasses algebraic groups over algebraically closed fields ...
Samuel Zamour
wiley   +1 more source

REGULARIZATION OF NON-NORMAL MATRICES BY GAUSSIAN NOISE—THE BANDED TOEPLITZ AND TWISTED TOEPLITZ CASES

Forum of Mathematics, Sigma, 2019
We consider the spectrum of additive, polynomially vanishing random perturbations of deterministic matrices, as follows. Let $M_{N}$ be a deterministic $N\times N$ matrix, and let $G_{N}$ be a complex Ginibre matrix.
ANIRBAN BASAK, ELLIOT PAQUETTE, OFER ZEITOUNI   +2 more
doaj   +1 more source

The N‐prime graph and the Subgroup Isomorphism Problem

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract We introduce a directed graph related to a group G$G$, which we call the N‐prime graph ΓN(G)$\Gamma _{\rm {N}}(G)$ of G$G$ and is a refinement of the classical Gruenberg–Kegel graph. The vertices of ΓN(G)$\Gamma _{\rm {N}}(G)$ are the primes p$p$ such that G$G$ has an element of order p$p$, and, for distinct vertices p$p$ and q$q$, the arc q→p$
Emanuele Pacifici, Ángel del Río, Marco Vergani   +2 more
wiley   +1 more source

A Characterization of Affine Primal Topological Spaces Induced by Nilpotent Matrices

International Journal of Mathematics and Mathematical Sciences
In this article, we prove that an n×n matrix A is nilpotent if and only if there exists an affine primal topology τ for Rn such that the space Rn,τ is both compact and connected.
Ebner Pineda, Luis Mejías, Jorge Vielma
doaj   +1 more source

T-branes at the limits of geometry

Journal of High Energy Physics, 2017
Singular limits of 6D F-theory compactifications are often captured by T-branes, namely a non-abelian configuration of intersecting 7-branes with a nilpotent matrix of normal deformations.
Lara B. Anderson, Jonathan J. Heckman, Sheldon Katz, Laura P. Schaposnik   +3 more
doaj   +1 more source

$L^p$ Matrix Coefficients for Nilpotent Lie Groups

Rocky Mountain Journal of Mathematics, 1996
Suppose that \(G\) is a connected nilpotent Lie group. For any irreducible unitary representation \(\pi\) of \(G\), denote by \(N_\pi\) its kernel. The main theorem of the paper under review is that there exists \(p\) in \([2,\infty)\), depending only on \(G\), such that the matrix coefficients \(g\mapsto\langle\pi(g)\xi,\eta\rangle\) lie in \(L^p(G/N_\
Corwin, Lawrence, Moore, Calvin C.
openaire   +3 more sources

Nilpotent N-Lie Algebras

, 2004
In 1986, Kasymov introduced the concept of nilpotent $n$-Lie algebras, proved an analogue of Engel's Theorem and later proved an analog of Jacobson's refinement of Engel's Theorem. Despite these achievements, the subject of nilpotency in $n$-Lie algebras
Williams, Michael Peretzian
core