Results 11 to 20 of about 69 (66)
Katsura–Exel–Pardo groupoids and the AH conjecture
Journal of the London Mathematical Society, Volume 104, Issue 5, Page 2240-2259, December 2021., 2021 Abstract It is proven that Matui's AH conjecture is true for Katsura–Exel–Pardo groupoids GA,B associated to integral matrices A and B. This conjecture relates the topological full group of an ample groupoid with the homology groups of the groupoid. We also give a criterion under which the topological full group [[GA,B]] is finitely generated.
Petter Nyland, Eduard Ortega
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The boundary of chaos for interval mappings
Proceedings of the London Mathematical Society, Volume 121, Issue 6, Page 1427-1467, December 2020., 2020 Abstract A goal in the study of dynamics on the interval is to understand the transition to positive topological entropy. There is a conjecture from the 1980s that the only route to positive topological entropy is through a cascade of period doubling bifurcations. We prove this conjecture in natural families of smooth interval maps, and use it to study
Trevor Clark, Sofía Trejo
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Topological mixing properties of rank‐one subshifts
Transactions of the London Mathematical Society, Volume 6, Issue 1, Page 1-21, December 2019., 2019 Abstract We study topological mixing properties and the maximal equicontinuous factor of rank‐one subshifts as topological dynamical systems. We show that the maximal equicontinuous factor of a rank‐one subshift is finite. We also determine all the finite factors of a rank‐one shift with a condition involving the cutting and spacer parameters. For rank‐
Su Gao, Caleb Ziegler
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Common periodic points for a class of continuous commuting mappings on an interval
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 16, Page 1043-1046, 2003., 2003 The existence of common periodic points for a family of continuous commuting self‐mappings on an interval is proved and two illustrative examples are given in support of our theorem and definition.
Shin Min Kang, Weili Wang
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Equicontinuity of iterates of circle maps
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 3, Page 453-458, 1998., 1998 Let f be a continuous map of the circle to itself. Necessary and sufficient conditions are given for the family ofiterates to be equicontinuous.
Antonios Valaristos
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On distal and equicontinuous compact right topological groups
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 2, Page 379-388, 1994., 1994 W. Ruppert has studied, and given examples of, compact left topological groups for which the left translation flow (?G, G) is equicontinuous. Recently, we considered an analogous distal condition that applies to the groups of dynamical type; for these the topological centre is dense, so the translation flow is equicontinuous only in the trivial case ...
Paul Milnes
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Stability and asymptotic stability in impulsive semidynamical systems
International Journal of Stochastic Analysis, Volume 7, Issue 4, Page 509-523, 1994., 1994 In this paper we generalize two results of Lasalle′s, the invariance theorem and asymptotic stability theorem of discrete and continuous semidynamical systems, to impulsive semidynamical systems.
Saroop K. Kaul
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Mathematics Subject Classification interrater agreement dataset
, 2022 The Mathematics Subject Classification organizes Publications, Software, and Research Data into a hierarchical classification scheme maintained by MathSciNet (mr) and zbMATH Open (zbmath). According to the classification scheme, both organizations mr and
Olaf Teschke +2 more
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The Conley Index and Symbolic Dynamics
, 1996 Suppose that N is an isolating neighborhood for S with respect to a continuous map f which decomposes into a disjoint union of finitely many compact sets.
Andrzej Szymczak, Szymczak, Andrzej
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How to transform and filter images using iterated function systems
, 2016 . We present a general theory of fractal transformations and show how it leads to new type of method for filtering and transforming digital images. This work substantially generalizes earlier work on fractal tops.
Brendan Harding +2 more
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