A local structure theorem for stable, $$\mathcal {J}$$J-simple semigroup biacts
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DOI: 10.1007/s00233-018-9986-6
Abstract: We describe a class of semigroup biacts that is analogous to the class of completely simple semigroups, and prove a structure theorem for those biacts that is analogous to the Rees–Sushkevitch Theorem. Precisely, we describe… read more here.
Keywords: structure theorem; mathcal simple; theorem; semigroup biacts ... See more keywords
A structure theorem for semi-parabolic Hénon maps
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DOI: 10.1016/j.aim.2019.05.001
Abstract: Consider the parameter space $\mathcal{P}_{\lambda}\subset \mathbb{C}^{2}$ of complex H\'enon maps $$ H_{c,a}(x,y)=(x^{2}+c+ay,ax),\ \ a\neq 0 $$ which have a semi-parabolic fixed point with one eigenvalue $\lambda=e^{2\pi i p/q}$. We give a characterization of those H\'enon… read more here.
Keywords: semi parabolic; julia set; structure theorem; parabolic non ... See more keywords
Structure theorem for Vaisman completely solvable solvmanifolds
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DOI: 10.1016/j.geomphys.2017.01.002
Abstract: Abstract Locally conformal Kahler manifold is said to be a Vaisman manifold if the Lee form is parallel with respect to the Riemannian metric. In this paper, we have the structure theorem for Vaisman completely… read more here.
Keywords: structure theorem; solvable solvmanifolds; vaisman completely; completely solvable ... See more keywords
A structure theorem for stochastic processes indexed by the discrete hypercube
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DOI: 10.1017/fms.2021.3
Abstract: Abstract Let A be a finite set with , let n be a positive integer, and let $A^n$ denote the discrete $n\text {-dimensional}$ hypercube (that is, $A^n$ is the Cartesian product of n many copies… read more here.
Keywords: stochastic processes; processes indexed; structure theorem; hypercube ... See more keywords
The Cone Structure Theorem
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DOI: 10.1093/imrn/rnz374
Abstract: We consider the topological classification of finitely determined map germs $f:(\mathbb {R}^n,0)\to (\mathbb {R}^p,0)$ with $f^{-1}(0)\neq \{0\}$. Associated with $f$ we have a link diagram, which is well defined up to topological equivalence. We prove… read more here.
Keywords: cone; cone structure; structure theorem;
Structure of Finite-Dimensional Protori
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DOI: 10.3390/axioms8030093
Abstract: A Structure Theorem for Protori is derived for the category of finite-dimensional protori (compact connected abelian groups), which details the interplay between the properties of density, discreteness, torsion, and divisibility within a finite-dimensional protorus. The… read more here.
Keywords: finite dimensional; structure theorem; dimensional protori; structure ... See more keywords