Results 81 to 90 of about 12,478 (182)
On the dimension of orthogonal projections of self‐similar measures
Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.Abstract Let ν$\nu$ be a self‐similar measure on Rd$\mathbb {R}^d$, d⩾2$d\geqslant 2$, and let π$\pi$ be an orthogonal projection onto a k$k$‐dimensional subspace. We formulate a criterion on the action of the group generated by the orthogonal parts of the iterated function system on π$\pi$, and show that it ensures that the dimension of πν$\pi \nu$ is
Amir Algom, Pablo Shmerkin
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Hausdorff dimensions of irreducible Markov hom tree‐shifts
Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.Abstract This paper features a Cramér's theorem for finite‐state Markov chains indexed by rooted d$d$‐trees, obtained via the method of types in the classical analysis of large deviations. Along with the theorem comes two applications: an almost‐sure type convergence of sample means and a formula for the Hausdorff dimension of the symbolic space ...
Jung‐Chao Ban +2 more
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An Extension of a result of Csiszar
International Journal of Mathematics and Mathematical Sciences, 1986 We extend the results of Csiszar (Z. Wahr. 5(1966) 279-295) to a topological semigroup S. Let μ be a measure defined on S. We consider the value of α=supKcompactlimn→∞supx∈Sμn(Kx−1). First. we show that the value of α is either zero or one.
P. B. Cerrito
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Traces on the uniform tracial completion of Z$\mathcal {Z}$‐stable C∗${\rm C}^*$‐algebras
Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.Abstract The uniform tracial completion of a C∗${\rm C}^*$‐algebra A$A$ with compact trace space T(A)≠∅$T(A) \ne \emptyset$ is obtained by completing the unit ball with respect to the uniform 2‐seminorm ∥a∥2,T(A)=supτ∈T(A)τ(a∗a)1/2$\Vert a\Vert _{2,T(A)}=\sup _{\tau \in T(A)} \tau (a^*a)^{1/2}$. The trace problem asks whether every trace on the uniform
Samuel Evington
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Attractors of Compactly Generated Semigroups of Regular Polynomial Mappings
Complexity, 2018 We investigate the metric space of pluriregular sets as well as the contractions on that space induced by infinite compact families of proper polynomial mappings of several complex variables.
Azza Alghamdi +2 more
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On representation of semigroups of inclusion hyperspaces
Karpatsʹkì Matematičnì Publìkacìï, 2013 Given a group $X$ we study the algebraic structure of the compact right-topological semigroup $G(X)$ consisting of inclusion hyperspaces on $X$. This semigroup contains the semigroup $\lambda(X)$ of maximal linked systems as a closed subsemigroup.
V. M. Gavrylkiv
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Recognizing pro-R closures of regular languages
, 2019 Given a regular language L, we effectively construct a unary semigroup that recognizes the topological closure of L in the free unary semigroup relative to the variety of unary semigroups generated by the pseudovariety R of all finite R-trivial ...
Almeida, Jorge +2 more
core
A Fibering Theorem for Topological Semigroups [PDF]
Proceedings of the American Mathematical Society, 1963 The theorem of this paper has appeared under stronger hypotheses and sometimes with weaker conclusions a number of times [1; 2; 3 ], and was known to Koch (in approximately the form of [2]) in 1959 (unpublished). Since it is a useful tool in the study of topological semigroups, and the proof here is simpler, and the theorem stronger than those ...
openaire +2 more sources
Some properties of linear right ideal nearrings
International Journal of Mathematics and Mathematical Sciences, 2003 In a previous paper, we determined all those topological nearrings 𝒩n whose additive groups are the n-dimensional Euclidean groups, n>1, and which contain n one-dimensional linear subspaces {Ji}i=1n which are also right ideals of the nearring with the ...
K. D. Magill
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On Extensions over Semigroups and Applications
Entropy, 2016 Applying a theorem according to Rhemtulla and Formanek, we partially solve an open problem raised by Hochman with an affirmative answer. Namely, we show that if G is a countable torsion-free locally nilpotent group that acts by homeomorphisms on X, and
Wen Huang, Lei Jin, Xiangdong Ye
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