Results 41 to 50 of about 931 (215)

The poset of the nilpotent commutator of a nilpotent matrix

Linear Algebra and its Applications, 2013
This revised version includes the results in the first two sections of the version submitted earlier in February 2012; more results are added and some proofs are refined.
openaire   +2 more sources

Polynomial Liénard systems with a nilpotent global center [PDF]

, 2023
A center for a differential system x˙ = f(x) in R2 is a singular point p having a neighborhood U such that U \ {p} is filled with periodic orbits. A global center is a center p such that R2 \ {p} is filled with periodic orbits.
Jaume Llibre, Isaac A. García, Llibre, Jaume, García, Isaac   +3 more
core   +1 more source

The strong nilpotency index of a matrix [PDF]

Linear and Multilinear Algebra, 2013
14 ...
openaire   +3 more sources

On the additive image of zeroth persistent homology

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer, Magnus B. Botnan, Steffen Oppermann, Johan Steen   +3 more
wiley   +1 more source

Applications of Lie methods to computations with polycyclic groups [PDF]

, 2008
In this thesis we demonstrate the algorithmic usefulness of the so-called Mal'cev correspondence for computations with infinite polycyclic groups.
Assmann, Björn
core  

Arnold tongues of divergence in the Caputo fractional standard map of nilpotent matrices

Nonlinear Analysis
Arnold tongues of divergence in the Caputo fractional standard map of nilpotent matrices are explored in this paper. The scalar iterative variables in the Caputo fractional standard map are replaced by iterative matrix variables.
Ugnė Orinaitė, Rasa Šmidtaitė, Minvydas Ragulskis   +2 more
doaj   +1 more source

Subspaces fixed by a nilpotent matrix

Orbita Mathematicae
The linear spaces that are fixed by a given nilpotent $n \times n$ matrix form a subvariety of the Grassmannian. We classify these varieties for small $n$. Mutiah, Weekes and Yacobi conjectured that their radical ideals are generated by certain linear forms known as shuffle equations. We prove this conjecture for $n \leq 7$, and we disprove it for $n=8$
Hahn, Marvin Anas, Nebe, Gabriele, Stanojkovski, Mima, Sturmfels, Bernd   +3 more
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Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.
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

Roots of Matrices [PDF]

Songklanakarin Journal of Science and Technology (SJST), 2005
A matrix S is said to be an nth root of a matrix A if Sn = A, where n is a positive integer greater than or equal to 2. If there is no such matrix for any integer n > 2, A is called a rootless matrix. After investigating the properties of these matrices,
Chaufah Nilrat, Boonrod Yuttanan
doaj  

The Natural Components of a Regular Linear System

Oxford Bulletin of Economics and Statistics, Volume 88, Issue 4, Page 603-622, August 2026.
ABSTRACT The analysis of a finite‐dimensional regular linear system may be simplified by separating the system into its natural components. The natural components are smaller linear systems on separate subspaces whose dimensions sum to the dimension of the original linear system.
Brendan K. Beare, Phil Howlett
wiley   +1 more source