Results 71 to 80 of about 530 (201)

Entropies of a semigroup of maps

open access: yesDiscrete and Continuous Dynamical Systems, 2004
The notion of topological entropy introduced originally for homeomorphisms admits several entropy-like invariants in the case of endomorphisms related to the noninvertibility of the map under study. The most known among them are the standard topological entropy, the preimage relation entropy, the preimage branch entropy, and the point entropy.
openaire   +2 more sources

Maximum number of zeroes of polynomials on weighted projective spaces over a finite field

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract We compute the maximum number of rational points at which a homogeneous polynomial can vanish on a weighted projective space over a finite field, provided that the first weight is equal to 1. This solves a conjecture by Aubry, Castryck, Ghorpade, Lachaud, O'Sullivan and Ram, which stated that a Serre‐like bound holds with equality for weighted
Jade Nardi, Rodrigo San‐José
wiley   +1 more source

Rodé's theorem on common fixed points of semigroup of nonexpansive mappings in CAT(0) spaces

open access: yesFixed Point Theory and Applications, 2011
We extend Rodé's theorem on common fixed points of semigroups of nonexpansive mappings in Hilbert spaces to the CAT(0) space setting. 2000 Mathematics Subject Classification: 47H09; 47H10.
Anakkamatee Watcharapong   +1 more
doaj  

A New Computational Technique for Common Solutions between Systems of Generalized Mixed Equilibrium and Fixed Point Problems

open access: yesJournal of Applied Mathematics, 2013
We introduce a new iterative algorithm for finding a common element of a fixed point problem of amenable semigroups of nonexpansive mappings, the set solutions of a system of a general system of generalized equilibria in a real Hilbert space.
Pongsakorn Sunthrayuth, Poom Kumam
doaj   +1 more source

Isotopy and equivalence of knots in 3‐manifolds

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract Two knots K$K$ and J$J$ in S3$S^3$ are isotopic if and only if they are related by an orientation‐preserving diffeomorphism of S3$S^3$. This claim follows from the fact that any orientation‐preserving self‐diffeomorphism of S3$S^3$ is isotopic to the identity. We show that this same idea applies to any prime oriented closed 3‐manifold.
Paolo Aceto   +4 more
wiley   +1 more source

The finite basis problem for the semigroups of order-preserving mappings

open access: yes, 1999
Developing an approach of Repnitskii and Volkov, we focus on properties of semigroups of order-preserving mappings on finite chains; in particular, we show that the class of all these semigroups has no finite quasi-identity basis (although it has an ...
A. S. Vernitskii
core   +1 more source

A priori bounds for the generalised parabolic Anderson model

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1315-1394, May 2026.
Abstract We show a priori bounds for solutions to (∂t−Δ)u=σ(u)ξ$(\partial _t - \Delta) u = \sigma (u) \xi$ in finite volume in the framework of Hairer's Regularity Structures [Invent Math 198:269–504, 2014]. We assume σ∈Cb2(R)$\sigma \in C_b^2 (\mathbb {R})$ and that ξ$\xi$ is of negative Hölder regularity of order −1−κ$- 1 - \kappa$ where κ<κ¯$\kappa <
Ajay Chandra   +2 more
wiley   +1 more source

COMMON FIXED POINTS FOR SEMIGROUPS OF POINTWISE LIPSCHITZIAN MAPPINGS IN BANACH SPACES

open access: yes, 2011
We investigate the existence of common fixed points for pointwise Lipschitzian semigroups of nonlinear mappings acting in a bounded, closed, convex subset of a uniformly convex Banach space.
W. M. KOZLOWSKI, Kozlowski, Wojciech M
core   +1 more source

Stochastic Dynamics From Maximum Entropy in Action Space

open access: yesFortschritte der Physik, Volume 74, Issue 5, May 2026.
ABSTRACT We develop an information‐theoretic formulation of stochastic dynamics in which the fundamental stochastic variable is the total action connecting spacetime points, rather than individual paths. By maximizing Shannon entropy over a joint distribution of actions and endpoints, subject to normalization and a constraint on the mean action, we ...
Fabricio Souza Luiz   +3 more
wiley   +1 more source

Endomorphisms of Some Groupoids of Order $k+k^2$

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2020
Automorphisms and endomorphisms are actively used in various theoretical studies. In particular, the theoretical interest in the study of automorphisms is due to the possibility of representing elements of a group by automorphisms of a certain algebraic ...
A.V. Litavrin
doaj   +1 more source

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