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SCRAMBLED SETS OF CONTINUOUS MAPS OF 1dimensional polyhedra
, 1999
"... Let K be a 1dimensional simplicial complex in R³ without isolated vertexes, X = K  be the polyhedron of K with the metric dK induced by K, and f:X→X be a continuous map. In this paper we prove that if K is finite, then the interior of every scrambled set of f in X is empty. We also show that if ..."
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Cited by 2 (0 self)
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Let K be a 1dimensional simplicial complex in R³ without isolated vertexes, X = K  be the polyhedron of K with the metric dK induced by K, and f:X→X be a continuous map. In this paper we prove that if K is finite, then the interior of every scrambled set of f in X is empty. We also show
Constantlength substitutions and countable scrambled sets
 Nonlinearity
"... Abstract. In this paper we provide examples of topological dynamical systems having either finite or countable scrambled sets. In particular we study conditions for the existence of LiYorke, asymptotic and distal pairs in constant–length substitution dynamical systems. Starting from a circle rotati ..."
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Cited by 5 (1 self)
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Abstract. In this paper we provide examples of topological dynamical systems having either finite or countable scrambled sets. In particular we study conditions for the existence of LiYorke, asymptotic and distal pairs in constant–length substitution dynamical systems. Starting from a circle
ON THE NECESSARY AND SUFFICIENT CONDITIONS FOR THE EXISTENCE OF fINVARIANT δSCRAMBLED SETS
"... Abstract. This paper is a study in the necessary and sufficient conditions of a map for the existence of finvariant δscrambled sets. It has been shown [3] that all turbulent maps have such sets. Here, we give our own version of the proof that all strictly turbulent maps have such sets. We go on to ..."
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Cited by 1 (0 self)
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Abstract. This paper is a study in the necessary and sufficient conditions of a map for the existence of finvariant δscrambled sets. It has been shown [3] that all turbulent maps have such sets. Here, we give our own version of the proof that all strictly turbulent maps have such sets. We go
DIMENSION OF STABLE SETS AND SCRAMBLED SETS IN POSITIVE FINITE ENTROPY SYSTEMS
"... We study dimension of stable sets and scrambled sets of a dynamical system with positive finite entropy. We show that there is a measuretheoretically “large ” set containing points whose sets of “hyperbolic points” (i.e., points lying in the intersections of the closures of the stable and unstabl ..."
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Cited by 4 (3 self)
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We study dimension of stable sets and scrambled sets of a dynamical system with positive finite entropy. We show that there is a measuretheoretically “large ” set containing points whose sets of “hyperbolic points” (i.e., points lying in the intersections of the closures of the stable
CAT(0) GROUPS AND COXETER GROUPS WHOSE BOUNDARIES ARE SCRAMBLED SETS
, 2007
"... In this paper, we study CAT(0) groups and Coxeter groups whose boundaries are scrambled sets. Suppose that a group G acts geometrically (i.e. properly and cocompactly by isometries) on a CAT(0) space X. (Such group G is called a CAT(0) group.) Then the group G acts by homeomorphisms on the boundary ..."
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Cited by 1 (1 self)
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In this paper, we study CAT(0) groups and Coxeter groups whose boundaries are scrambled sets. Suppose that a group G acts geometrically (i.e. properly and cocompactly by isometries) on a CAT(0) space X. (Such group G is called a CAT(0) group.) Then the group G acts by homeomorphisms
A LOOK AT fINVARIANT δSCRAMBLED SETS AND THEIR PLACEMENT IN SARKOVSKII’S STRATIFICATION OF THE REAL NUMBERS
"... Abstract. We are interested in being able to pinpoint the existence of finvariant δscrambled sets in the turbulent stratification presented by Block and Coppel[1] which builds on Sarkovskii’s Ordering. In this paper, we give the properties which guarantee that map of odd period will admit an finv ..."
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Abstract. We are interested in being able to pinpoint the existence of finvariant δscrambled sets in the turbulent stratification presented by Block and Coppel[1] which builds on Sarkovskii’s Ordering. In this paper, we give the properties which guarantee that map of odd period will admit an f
Iterative point matching for registration of freeform curves and surfaces
, 1994
"... A heuristic method has been developed for registering two sets of 3D curves obtained by using an edgebased stereo system, or two dense 3D maps obtained by using a correlationbased stereo system. Geometric matching in general is a difficult unsolved problem in computer vision. Fortunately, in ma ..."
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Cited by 659 (7 self)
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A heuristic method has been developed for registering two sets of 3D curves obtained by using an edgebased stereo system, or two dense 3D maps obtained by using a correlationbased stereo system. Geometric matching in general is a difficult unsolved problem in computer vision. Fortunately
Data Security
, 1979
"... The rising abuse of computers and increasing threat to personal privacy through data banks have stimulated much interest m the techmcal safeguards for data. There are four kinds of safeguards, each related to but distract from the others. Access controls regulate which users may enter the system and ..."
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Cited by 611 (3 self)
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and subsequently whmh data sets an active user may read or wrote. Flow controls regulate the dissemination of values among the data sets accessible to a user. Inference controls protect statistical databases by preventing questioners from deducing confidential information by posing carefully designed sequences
Results 1  10
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