Results 141 to 150 of about 7,742 (177)

Semigroups of order-preserving mappings

Communications in Algebra, 2000
The quasivariety consists of all [all finite] semigroups which can be embedded into a semigroup of order-preserving mappings on a chain [on a finite chain]. We give two abstract descriptions of , one using a special construction, and another using standard conditions (quasi-identities).
V.B. Repnitskiǐ, A. S. Vernitskiǐ
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SEMIGROUPS OF CONFORMAL MAPPINGS

Mathematics of the USSR-Sbornik, 1987
Let \({\mathfrak L}_{\Gamma}\) denote the set of conformal mappings \(\phi\) of the disc \(E=\{z:| z|
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The Spectral Mapping Property of Delay Semigroups

Complex Analysis and Operator Theory, 2008
This paper is concerned with the abstract delay equation \(u'(t)=Bu(t)+\sum_{j=1}^{k}C_ju(t-h_j)\), \(t\geq 0\), in a Banach space \(X\), where \(B\) is the generator of a strongly continuous semigroup on \(X\), \(C_j\) are bounded linear operators on \(X\), \(h_j\in \alpha \mathbb{Q}\) for some \(\alpha\in \mathbb{R}\) and all \(j=1,\dots,k\).
Bátkai, András, Eisner, Tanja, Latushkin, Yuri   +2 more
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Semigroups of Holomorphic Mappings

2019
In this chapter we consider certain autonomous dynamical systems acting on the open unit ball of a complex Banach space. Our interest in such systems is based on the fact that if a dynamical system is differentiable with respect to time, then its derivative is a holomorphically dissipative mapping.
Mark Elin, Simeon Reich, David Shoikhet
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Endomorphisms of the semigroup of order-preserving mappings

Semigroup Forum, 2010
An endomorphism \(f\) of \(\{1,2,\dots,n\}\) is called order preserving provided that \(i\leq j\) implies \(f(i)\leq f(j)\). The main result of this paper gives a complete classification of the semigroup of all order-preserving endomorphisms of \(\{1,2,\dots,n\}\).
Fernandes, V. H., Jesus, M. M., Maltcev, V., Mitchell, J. D.   +3 more
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Dynamics of Semigroups of Henon Maps

Indiana University Mathematics Journal
The goal of this article is two fold. Firstly, we explore the dynamics of a semigroup of polynomial automorphisms of $\mathbb{C}^2$, generated by a finite collection of Hénon maps. In particular, we construct the positive and negative dynamical Green's functions $G_{\mathscr{G}}^\pm$ and the corresponding dynamical Green's currents $μ_{\mathscr{G}}^\pm$
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Isomorphisms between semigroups of maps

2011
Let X and Y be topological spaces and C and D semigroups under composition of maps from X to X and Y to Y respectively. Let H be an isomorphism from C to D; it is shown that if both C and D contain the constant maps then there exists a bijection h from X to Y such that H(f) = h∘f∘h⁻¹, VfɛC.
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The infinitesimal generators of semigroups of holomorphic maps

Annali di Matematica Pura ed Applicata (1923 -), 1992
Let \(X\) be a complex manifold. By \(\text{Hol}(X,X)\) we denote the space of holomorphic maps from \(X\) into inself. A one-parameter semigroup of holomorphic maps on \(X\) is a continuous map \(\varphi:\mathbb{R}^ +\to\text{Hol}(X,X)\) such that \(\varphi_ 0=\text{id}_ X\) and \(\varphi_ t\circ\varphi_ t=\varphi_{s+t}\) for all \(s,t\in\mathbb{R}^ +\
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Asymptotic Behavior of Semigroups of Holomorphic Mappings

2000
We present several new results on the asymptotic behavior of nonlinear semigroups of holomorphic mappings on the open unit balls of complex Banach and Hilbert spaces.
Mark Elin, Simeon Reich, David Shoikhet
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Random Products in Semigroups of Mappings

1990
A brief survey is given on some combinatorial aspects of finite full transformation semigroups, and counterparts for some of these results are derived for the semigroup of all order preserving mappings on a finite set.
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