Tatsuya Arai

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All published works

Action	Title	Year	Authors
+ PDF Chat	Correction to: Devaney’s and Li-Yorke’s Chaos in Uniform Spaces	2019	Tatsuya Arai
+	Devaney’s and Li-Yorke’s Chaos in Uniform Spaces	2017	Tatsuya Arai
+	The structure of dendrites constructed by pointwise P-expansive maps on the unit interval	2015	Tatsuya Arai
+	Regular continua constructed by P-expansive maps of one-dimensional continua	2007	Tatsuya Arai
+	P-chaos implies distributional chaos and chaos in the sense of Devaney with positive topological entropy	2007	Tatsuya Arai Naotsugu Chinen
+ PDF Chat	The construction of chaotic maps in the sense of Devaney on dendrites which commute to continuous maps on the unit interval	2004	Naotsugu Chinen Tatsuya Arai
+	The construction of chaotic maps on dendrites which commute to continuous maps with positive topological entropy on the unit interval (Problems and applications in General and Geometric Topology)	2003	Tatsuya Arai Naotsugu Chinen
+	Continuous maps of dendrites with finite branch points and nonwandering sets (Research of Set-Theoretic and Geometric Topology and Their Applications)	2001	Tatsuya Arai Naotsugu Chinen Takayuki Suda
+	The construction of P-expansive maps of regular continua: A geometric approach	2000	Tatsuya Arai Naotsugu Chinen Hisao Kato Katsuya Yokoi

Common Coauthors

Coauthor	Papers Together
Naotsugu Chinen	5
Hisao Kato	1
Takayuki Suda	1
Katsuya Yokoi	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Dynamics in One Dimension	1992	Louis Block William Andrew Coppel	3
+	On Devaney's Definition of Chaos	1992	John Banks James K. Brooks Grant Cairns Gary Davis P. J. Stacey	2
+	TOWARD A THEORY OF FORCING ON MAPS OF TREES	1995	Stewart Baldwin	2
+ PDF Chat	<i>An Introduction to Chaotic Dynamical Systems</i>	1987	Robert L. Devaney Jean-Pierre Eckmann	2
+	Entropy of transitive tree maps	1997	Lluı́s Alsedà Stewart Baldwin Jaume Llibre Michał Misiurewicz	2
+	ω-Limit sets for Axiom A diffeomorphisms	1975	Rufus Bowen	1
+	Distributional Chaos on Compact Metric Spaces via Specification Properties	2000	A. Sklar J. Smı́tal	1
+ PDF Chat	Measures of chaos and a spectral decomposition of dynamical systems on the interval	1994	B. Schweizer J. Smı́tal	1
+	A NOTE ON THE TOTALLY TRANSITIVE GRAPH MAPS STABILITY OF PWL CELLULAR	2001	Ll. Alsedà M. A. DEL RÍO Jesús Rodríguez	1
+	Devaney's chaos or 2-scattering implies Li–Yorke's chaos	2002	Wen Huang Xiangdong Ye	1
+	The three versions of distributional chaos	2004	Francisco Balibrea J. Smı́tal Marta Štefánková	1
+	On Li-Yorke pairs	2002	F. Blanchard Eli Glasner S. F. Kolyada Alejandro Maass	1
+ PDF Chat	Topological Transitivity and Mixing Notions for Group Actions	2007	Grant Cairns Alla Kolganova Anthony Nielsen	1
+	Anosov diffeomorphisms are topologically stable	1970	Peter Walters	1
+ PDF Chat	Sensitivity and devaney’s chaos in uniform spaces	2013	Tullio Ceccherini‐Silberstein Michel Coornaert	1
+	The construction of P-expansive maps of regular continua: A geometric approach	2000	Tatsuya Arai Naotsugu Chinen Hisao Kato Katsuya Yokoi	1
+ PDF Chat	The construction of chaotic maps in the sense of Devaney on dendrites which commute to continuous maps on the unit interval	2004	Naotsugu Chinen Tatsuya Arai	1
+ PDF Chat	On the pseudo orbit tracing property and its relationship to stability	1978	Peter Walters	1
+	Devaney’s and Li-Yorke’s Chaos in Uniform Spaces	2017	Tatsuya Arai	1
+	Distributional chaos on tree maps: the star case	2001	José S. Cánovas	1
+	Topics in General Topology	1989		1
+	An Introduction to Ergodic Theory	1981	Peter Walters	1
+	An Introduction to Ergodic Theory	1982	Peter Walters	1
+	Minimal subshifts which display Schweizer-Smítal chaos and have zero topological entropy	1998	Gongfu Liao Fan Qin-jie	1
+	A note on the totally transitive graph maps	2000	Lluís Alsedà i Soler M. A. DEL RÍO José Ángel Rodríguez Méndez	1
+ PDF Chat	Specification on the interval	1997	Jérôme Buzzi	1
+ PDF Chat	Ergodic Theory on Compact Spaces	1976	Manfred Denker Christian Grillenberger Karl Sigmund	1
+ PDF Chat	The “Spectral” Decomposition for One-Dimensional Maps	1995	Alexander Blokh	1
+	Chaotic actions of topological semigroups	2013	Friedrich Martin Schneider Sebastian Kerkhoff Mike Behrisch Stefan Siegmund	1