Results 51 to 60 of about 1,586,511 (197)
On the integral simplicial volume of cyclic covers of mapping tori
Abstract In this paper, we investigate the asymptotic behavior of the integral simplicial volume of cyclic covers of manifolds that fiber over the circle with fiber given by an n$n$‐dimensional torus. By studying the integral filling volume—an invariant introduced by Frigerio and the first author—for the monodromy, we establish both lower and upper ...
Federica Bertolotti +1 more
wiley +1 more source
On nilpotent subsemigroups in some matrix semigroups
We describe maximal nilpotent subsemigroups of a given nilpotency class in the semigroup $Ω_n$ of all $n\times n$ real matrices with non-negative coefficients and the semigroup $\mathbf{D}_n$ of all doubly stochastic real matrices.
Ganyushkin, Olexandr +1 more
openaire +3 more sources
Finite abelian group actions on weakly Lefschetz cohomologically symplectic manifolds
Abstract We study continuous finite abelian group actions on weakly Lefschetz cohomologically symplectic (WLS) manifolds, a collection of topological manifolds that includes all compact connected Kaehler manifolds. We prove that for any WLS manifold X$X$, there exists a number C$C$ such that, for any integer m⩾C$m\geqslant C$, if (Z/m)k$({\mathbb {Z ...
Ignasi Mundet i Riera
wiley +1 more source
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
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
Dimensions of nilpotent matrix algebras
This project uses graph theory and techniques from linear and abstract algebra to study the dimensions of nilpotent subalgebras of a matrix algebra. The main goal is to understand important theorems of Lie-Kolchin and Schur on these dimensions and then ...
Adwetewa-Badu, Kwabena A.
core +3 more sources
A Heuristic Method for Solving Polynomial Matrix Equations
We propose a heuristic method to solve polynomial matrix equations of the type ∑k=1makXk=B, where ak are scalar coefficients and X and B are square matrices of order n.
Juan Luis González-Santander +1 more
doaj +1 more source
$D$-Stratification and Hierarchy Graphs of the Space of Order 2 and 3 Matrix Pencils
Small changes in the entries of a matrix pencil may lead to important changes in its Kronecker normal form. Studies about the effect of small perturbations have been made when considering the stratification associated with the strict equivalence between ...
Maria İsabel Garcia-planas +1 more
doaj +1 more source
The Natural Components of a Regular Linear System
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
A birational description of the minimal exponent
Abstract We give a description of the minimal exponent of a hypersurface using higher direct images of suitably twisted sheaves of log forms on a log resolution.
Qianyu Chen, Mircea Mustaţă
wiley +1 more source
Nilpotents Leave No Trace: A Matrix Mystery for Pandemic Times
Reopening a cold case, inspector Echelon, high-ranking in the Row Operations Center, is searching for a lost linear map, known to be nilpotent. When a partially decomposed matrix is unearthed, he reconstructs its reduced form, finding it singular. But were its roots nilpotent?
openaire +3 more sources

