Gromov hyperbolicity of pseudoconvex finite type domains in $${\mathbb {C}}^2$$ C 2
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DOI: 10.1007/s00208-020-02135-w
Abstract: We prove that every bounded smooth domain of finite D’Angelo type in $${\mathbb {C}}^2$$ C 2 endowed with the Kobayashi distance is Gromov hyperbolic and its Gromov boundary is canonically homeomorphic to the Euclidean boundary.… read more here.
Keywords: finite type; type domains; pseudoconvex finite; gromov hyperbolicity ... See more keywords
Weighted and boundary $$L^{p}$$Lp estimates for solutions of the $$\overline{\partial }$$∂¯-equation on lineally convex domains of finite type and applications
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DOI: 10.1007/s00209-017-2015-8
Abstract: We obtain sharp weighted estimates for solutions of the equation $$\overline{\partial }u=f$$∂¯u=f in a lineally convex domain of finite type. Precisely we obtain estimates in the spaces $$L^{p}(\Omega ,\delta ^{\gamma })$$Lp(Ω,δγ), $$\delta $$δ being the… read more here.
Keywords: finite type; overline partial; estimates solutions; convex domains ... See more keywords
Finite type in measure sense for self-similar sets with overlaps
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DOI: 10.1007/s00209-020-02632-3
Abstract: For self-similar sets with overlaps, we introduce a notion named the finite type in measure sense and reveal its intrinsic relationships with the weak separation condition and the generalized finite type. read more here.
Keywords: finite type; self similar; similar sets; measure sense ... See more keywords
Decidability of Irreducible Tree Shifts of Finite Type
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DOI: 10.1007/s10955-019-02407-z
Abstract: We reveal an algorithm for determining the complete prefix code irreducibility (CPC-irreducibility) of dyadic trees labeled by a finite alphabet. By introducing an extended directed graph representation of tree shift of finite type (TSFT), we… read more here.
Keywords: finite type; irreducible tree; shifts finite; decidability irreducible ... See more keywords
Loss of Gibbs Property in One-Dimensional Mixing Shifts of Finite Type
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DOI: 10.1007/s12346-020-00360-x
Abstract: Let $$\pi $$ π be a factor map from a one-dimensional mixing shift of finite type X onto a sofic shift Y . We investigate when $$\pi $$ π sends Gibbs measures on X to… read more here.
Keywords: finite type; gibbs property; loss gibbs; property one ... See more keywords
Zeros Sets of Hp Functions in Lineally Convex Domains of Finite Type in ℂn$ \mathbb {C}^{n}$
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DOI: 10.1007/s40306-018-0284-x
Abstract: In this note, we extend N. Th. Varopoulos result on zero sets of Hp functions of strictly pseudo-convex domains in ℂn$\mathbb {C}^{n}$ to lineally convex domains of finite type. read more here.
Keywords: finite type; convex domains; lineally convex; zeros sets ... See more keywords
Estimates of Kähler-Einstein metrics on pseudoconvex domains of finite type with locally diagonalizable Levi form
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DOI: 10.1016/j.jmaa.2020.124644
Abstract: Abstract In this short note, we use the weights introduced by Ph. Charpentier and Y. Dupain on pseudoconvex domains of finite type with locally diagonalizable Levi form to prove that on these domains, the Kahler-Einstein… read more here.
Keywords: domains finite; pseudoconvex domains; locally diagonalizable; type locally ... See more keywords
The expressiveness of quasiperiodic and minimal shifts of finite type
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DOI: 10.1017/etds.2019.112
Abstract: We study multidimensional minimal and quasiperiodic shifts of finite type. We prove for these classes several results that were previously known for the shifts of finite type in general, without restriction. We show that some… read more here.
Keywords: finite type; minimal quasiperiodic; shifts finite; quasiperiodic shifts ... See more keywords
Support stability of maximizing measures for shifts of finite type
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DOI: 10.1017/etds.2019.69
Abstract: This paper establishes a fundamental difference between $\mathbb{Z}$ subshifts of finite type and $\mathbb{Z}^{2}$ subshifts of finite type in the context of ergodic optimization. Specifically, we consider a subshift of finite type $X$ as a… read more here.
Keywords: finite type; measures shifts; mathbb subshifts; maximizing measures ... See more keywords
Counting finite orbits for the flip systems of shifts of finite type
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DOI: 10.3934/dcds.2021046
Abstract: For a discrete system \begin{document}$ (X,T) $\end{document} , the flip system \begin{document}$ (X,T,F) $\end{document} can be regarded as the action of infinite dihedral group \begin{document}$ D_\infty $\end{document} on the space \begin{document}$ X $\end{document} . Under… read more here.
Keywords: shifts finite; document; end document; begin document ... See more keywords
Local Dimensions of Measures of Finite Type II: Measures Without Full Support and With Non-regular Probabilities
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DOI: 10.4153/cjm-2017-025-6
Abstract: Abstract Consider a finite sequence of linear contractions ${{S}_{j}}(x)\,=\,\rho x\,+{{d}_{j}}$ and probabilities $pj\,>\,0$ with $\Sigma \,{{p}_{j}}\,=\,1$ . We are interested in the self-similar measure $\mu \,=\,\Sigma \,{{p}_{j}}\,\mu \,{}^\circ \,s_{j}^{-1}$ , of finite type. In this… read more here.
Keywords: finite type; essential class; regular probabilities; local dimensions ... See more keywords