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## Handel, Michael

Compute Distance To:
 Author ID: handel.michael Published as: Handel, M.; Handel, Michael
 Documents Indexed: 50 Publications since 1975, including 2 Books
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#### Co-Authors

 15 single-authored 10 Franks, John M. 8 Feighn, Mark E. 8 Mosher, Lee 7 Bestvina, Mladen 2 Parwani, Kamlesh 2 Thurston, William Paul 1 Batterson, Steve 1 Farb, Benson 1 Giacomini, Enzo 1 Härdle, Wolfgang Karl 1 Kitchens, Bruce P. 1 Narasimhan, Carolyn C.
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#### Serials

 7 Geometry & Topology 6 Ergodic Theory and Dynamical Systems 5 Topology 5 Annals of Mathematics. Second Series 4 Proceedings of the American Mathematical Society 3 Transactions of the American Mathematical Society 2 Inventiones Mathematicae 2 Memoirs of the American Mathematical Society 2 General Topology and its Applications 2 Groups, Geometry, and Dynamics 2 Journal of Modern Dynamics 1 Communications in Mathematical Physics 1 Israel Journal of Mathematics 1 Advances in Mathematics 1 Duke Mathematical Journal 1 Geometriae Dedicata 1 Publications Mathématiques 1 Michigan Mathematical Journal 1 Geometric and Functional Analysis. GAFA
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#### Fields

 29 Manifolds and cell complexes (57-XX) 24 Dynamical systems and ergodic theory (37-XX) 19 Group theory and generalizations (20-XX) 9 General topology (54-XX) 5 Measure and integration (28-XX) 3 Algebraic topology (55-XX) 2 Topological groups, Lie groups (22-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

49 Publications have been cited 951 times in 604 Documents Cited by Year
Train tracks and automorphisms of free groups. Zbl 0757.57004
1992
Train-tracks for surface homeomorphisms. Zbl 0837.57010
Bestvina, M.; Handel, M.
1995
The Tits alternative for $$\text{Out}(F_n)$$. I: Dynamics of exponentially-growing automorphisms. Zbl 0984.20025
Bestvina, Mladen; Feighn, Mark; Handel, Michael
2000
Laminations, trees, and irreducible automorphisms of free groups. Zbl 0884.57002
Bestvina, M.; Feighn, M.; Handel, M.
1997
A pathological area preserving $$C^\infty$$ diffeomorphism of the plane. Zbl 0509.58031
Handel, Michael
1982
The free splitting complex of a free group. I: Hyperbolicity. Zbl 1278.20053
Handel, Michael; Mosher, Lee
2013
Periodic points of Hamiltonian surface diffeomorphisms. Zbl 1034.37028
Franks, John; Handel, Michael
2003
New proofs of some results of Nielsen. Zbl 0584.57007
Handel, Michael; Thurston, William P.
1985
Global shadowing of pseudo-Anosov homeomorphisms. Zbl 0576.58025
Handel, Michael
1985
Anosov flows on new three manifolds. Zbl 0435.58019
Handel, Michael; Thurston, William P.
1980
The Tits alternative for $$\text{Out}(F_n)$$. II: A Kolchin type theorem. Zbl 1139.20026
Bestvina, Mladen; Feighn, Mark; Handel, Michael
2005
The rotation set of a homeomorphism of the annulus is closed. Zbl 0725.54032
Handel, Michael
1990
Mapping tori of free group automorphisms are coherent. Zbl 0938.20022
Feighn, Mark; Handel, Michael
1999
Distortion elements in group actions on surfaces. Zbl 1088.37009
Franks, John; Handel, Michael
2006
A fixed-point theorem for planar homeomorphisms. Zbl 0928.55001
Handel, Michael
1999
The recognition theorem for $$\text{Out}(F_n)$$. Zbl 1239.20036
Feighn, Mark; Handel, Michael
2011
Commuting homeomorphisms of $$S^ 2$$. Zbl 0755.57012
Handel, Michael
1992
Lipschitz retraction and distortion for subgroups of $$\mathrm{Out}(F_n)$$. Zbl 1285.20033
Handel, Michael; Mosher, Lee
2013
Solvable subgroups of $$\text{Out}(F_n)$$ are virtually Abelian. Zbl 1052.20027
Bestvina, Mladen; Feighn, Mark; Handel, Michael
2004
The entropy of orientation reversing homeomorphisms of surfaces. Zbl 0502.58028
Handel, Michael
1982
Axes in outer space. Zbl 1238.57002
Handel, Michael; Mosher, Lee
2011
The expansion factors of an outer automorphism and its inverse. Zbl 1127.20021
Handel, Michael; Mosher, Lee
2007
Metrics and entropy for non-compact spaces. Appendix by Daniel J. Rudolph. Zbl 0881.54021
Handel, Michael; Kitchens, Bruce
1995
Fixed points of Abelian actions. Zbl 1130.37023
Franks, John; Handel, Michael; Parwani, Kamlesh
2007
Fixed points of abelian actions on $$S^2$$. Zbl 1143.37030
Franks, John; Handel, Michael; Parwani, Kamlesh
2007
Parageometric outer automorphisms of free groups. Zbl 1120.20042
Handel, Michael; Mosher, Lee
2007
The forcing partial order on the three times punctured disk. Zbl 0888.58016
Handel, Michael
1997
Entropy zero area preserving diffeomorphisms of $$S^{2}$$. Zbl 1359.37039
Franks, John; Handel, Michael
2012
Abelian subgroups of $$\text{Out}(F_n)$$. Zbl 1201.20031
Feighn, Mark; Handel, Michael
2009
Commensurations of $$\text{Out}(F_n)$$. Zbl 1137.20018
Farb, Benson; Handel, Michael
2007
Periodic point free homeomorphism of $$T^ 2$$. Zbl 0812.54045
Handel, Michael
1989
On certain sums of Hilbert cubes. Zbl 0496.57008
Handel, Michael
1978
Global fixed points for centralizers and Morita’s theorem. Zbl 1160.37326
Franks, John; Handel, Michael
2009
Area preserving group actions on surfaces. Zbl 1036.37010
Franks, John; Handel, Michael
2003
There are no minimal homeomorphisms of the multipunctured plane. Zbl 0769.58037
Handel, Michael
1992
Orientation reversing Morse-Smale diffeomorphisms of $$S^ 2$$. Zbl 0481.58021
Batterson, Steve; Handel, Michael; Narasimhan, Carolyn
1981
Algorithmic constructions of relative train track maps and CTs. Zbl 1456.20044
Feighn, Mark; Handel, Michael
2018
Entropy and semi-conjugacy in dimension two. Zbl 0675.58025
Handel, Michael
1988
Entropy and exponential growth of $$\pi _ 1$$ in dimension two. Zbl 0644.58016
Franks, John M.; Handel, Michael
1988
Approximating stratum preserving CE maps between CS sets by stratum preserving homeomorphisms. Zbl 0343.57004
Handel, Michael
1975
The free splitting complex of a free group. II: Loxodromic outer automorphisms. Zbl 07110617
Handel, Michael; Mosher, Lee
2019
Triviality of some representations of $$\operatorname{MCG}(S_g)$$ in $$\mathrm{GL}(n,\mathbb C)$$, $$\operatorname{Diff}(S^2)$$ and $$\operatorname{Homeo}(\mathbb T^2)$$. Zbl 1353.20026
Franks, John; Handel, Michael
2013
A resolution of stratification conjectures concerning CS sets. Zbl 0405.57008
Handel, Michael
1978
An area preserving homeomorphism of $$T^ 2$$ that is fixed point free but does not move any essential simple closed curve off itself. Zbl 0784.58037
1992
The Bing staircase construction for Hilbert cube manifolds. Zbl 0404.57010
Handel, Michael
1978
Subgroup decomposition in $$\mathsf{Out}(F_n)$$. Zbl 07213236
Handel, Michael; Mosher, Lee
2020
Some virtually abelian subgroups of the group of analytic symplectic diffeomorphisms of a surface. Zbl 1288.37006
Franks, John; Handel, Michael
2013
Time dependent relative risk aversion. Zbl 1154.91503
Giacomini, Enzo; Handel, Michael; Härdle, Wolfgang K.
2009
One dimensional minimal sets and the Seifert conjecture. Zbl 0454.54027
Handel, Michael
1980
Subgroup decomposition in $$\mathsf{Out}(F_n)$$. Zbl 07213236
Handel, Michael; Mosher, Lee
2020
The free splitting complex of a free group. II: Loxodromic outer automorphisms. Zbl 07110617
Handel, Michael; Mosher, Lee
2019
Algorithmic constructions of relative train track maps and CTs. Zbl 1456.20044
Feighn, Mark; Handel, Michael
2018
The free splitting complex of a free group. I: Hyperbolicity. Zbl 1278.20053
Handel, Michael; Mosher, Lee
2013
Lipschitz retraction and distortion for subgroups of $$\mathrm{Out}(F_n)$$. Zbl 1285.20033
Handel, Michael; Mosher, Lee
2013
Triviality of some representations of $$\operatorname{MCG}(S_g)$$ in $$\mathrm{GL}(n,\mathbb C)$$, $$\operatorname{Diff}(S^2)$$ and $$\operatorname{Homeo}(\mathbb T^2)$$. Zbl 1353.20026
Franks, John; Handel, Michael
2013
Some virtually abelian subgroups of the group of analytic symplectic diffeomorphisms of a surface. Zbl 1288.37006
Franks, John; Handel, Michael
2013
Entropy zero area preserving diffeomorphisms of $$S^{2}$$. Zbl 1359.37039
Franks, John; Handel, Michael
2012
The recognition theorem for $$\text{Out}(F_n)$$. Zbl 1239.20036
Feighn, Mark; Handel, Michael
2011
Axes in outer space. Zbl 1238.57002
Handel, Michael; Mosher, Lee
2011
Abelian subgroups of $$\text{Out}(F_n)$$. Zbl 1201.20031
Feighn, Mark; Handel, Michael
2009
Global fixed points for centralizers and Morita’s theorem. Zbl 1160.37326
Franks, John; Handel, Michael
2009
Time dependent relative risk aversion. Zbl 1154.91503
Giacomini, Enzo; Handel, Michael; Härdle, Wolfgang K.
2009
The expansion factors of an outer automorphism and its inverse. Zbl 1127.20021
Handel, Michael; Mosher, Lee
2007
Fixed points of Abelian actions. Zbl 1130.37023
Franks, John; Handel, Michael; Parwani, Kamlesh
2007
Fixed points of abelian actions on $$S^2$$. Zbl 1143.37030
Franks, John; Handel, Michael; Parwani, Kamlesh
2007
Parageometric outer automorphisms of free groups. Zbl 1120.20042
Handel, Michael; Mosher, Lee
2007
Commensurations of $$\text{Out}(F_n)$$. Zbl 1137.20018
Farb, Benson; Handel, Michael
2007
Distortion elements in group actions on surfaces. Zbl 1088.37009
Franks, John; Handel, Michael
2006
The Tits alternative for $$\text{Out}(F_n)$$. II: A Kolchin type theorem. Zbl 1139.20026
Bestvina, Mladen; Feighn, Mark; Handel, Michael
2005
Solvable subgroups of $$\text{Out}(F_n)$$ are virtually Abelian. Zbl 1052.20027
Bestvina, Mladen; Feighn, Mark; Handel, Michael
2004
Periodic points of Hamiltonian surface diffeomorphisms. Zbl 1034.37028
Franks, John; Handel, Michael
2003
Area preserving group actions on surfaces. Zbl 1036.37010
Franks, John; Handel, Michael
2003
The Tits alternative for $$\text{Out}(F_n)$$. I: Dynamics of exponentially-growing automorphisms. Zbl 0984.20025
Bestvina, Mladen; Feighn, Mark; Handel, Michael
2000
Mapping tori of free group automorphisms are coherent. Zbl 0938.20022
Feighn, Mark; Handel, Michael
1999
A fixed-point theorem for planar homeomorphisms. Zbl 0928.55001
Handel, Michael
1999
Laminations, trees, and irreducible automorphisms of free groups. Zbl 0884.57002
Bestvina, M.; Feighn, M.; Handel, M.
1997
The forcing partial order on the three times punctured disk. Zbl 0888.58016
Handel, Michael
1997
Train-tracks for surface homeomorphisms. Zbl 0837.57010
Bestvina, M.; Handel, M.
1995
Metrics and entropy for non-compact spaces. Appendix by Daniel J. Rudolph. Zbl 0881.54021
Handel, Michael; Kitchens, Bruce
1995
Train tracks and automorphisms of free groups. Zbl 0757.57004
1992
Commuting homeomorphisms of $$S^ 2$$. Zbl 0755.57012
Handel, Michael
1992
There are no minimal homeomorphisms of the multipunctured plane. Zbl 0769.58037
Handel, Michael
1992
An area preserving homeomorphism of $$T^ 2$$ that is fixed point free but does not move any essential simple closed curve off itself. Zbl 0784.58037
1992
The rotation set of a homeomorphism of the annulus is closed. Zbl 0725.54032
Handel, Michael
1990
Periodic point free homeomorphism of $$T^ 2$$. Zbl 0812.54045
Handel, Michael
1989
Entropy and semi-conjugacy in dimension two. Zbl 0675.58025
Handel, Michael
1988
Entropy and exponential growth of $$\pi _ 1$$ in dimension two. Zbl 0644.58016
Franks, John M.; Handel, Michael
1988
New proofs of some results of Nielsen. Zbl 0584.57007
Handel, Michael; Thurston, William P.
1985
Global shadowing of pseudo-Anosov homeomorphisms. Zbl 0576.58025
Handel, Michael
1985
A pathological area preserving $$C^\infty$$ diffeomorphism of the plane. Zbl 0509.58031
Handel, Michael
1982
The entropy of orientation reversing homeomorphisms of surfaces. Zbl 0502.58028
Handel, Michael
1982
Orientation reversing Morse-Smale diffeomorphisms of $$S^ 2$$. Zbl 0481.58021
Batterson, Steve; Handel, Michael; Narasimhan, Carolyn
1981
Anosov flows on new three manifolds. Zbl 0435.58019
Handel, Michael; Thurston, William P.
1980
One dimensional minimal sets and the Seifert conjecture. Zbl 0454.54027
Handel, Michael
1980
On certain sums of Hilbert cubes. Zbl 0496.57008
Handel, Michael
1978
A resolution of stratification conjectures concerning CS sets. Zbl 0405.57008
Handel, Michael
1978
The Bing staircase construction for Hilbert cube manifolds. Zbl 0404.57010
Handel, Michael
1978
Approximating stratum preserving CE maps between CS sets by stratum preserving homeomorphisms. Zbl 0343.57004
Handel, Michael
1975
all top 5

#### Cited by 550 Authors

 25 Kapovich, Ilya 21 Handel, Michael 13 Martino, Armando 12 Ventura Capell, Enric 11 Lustig, Martin 10 Franks, John M. 10 Llibre, Jaume 9 Boroński, Jan P. 9 Le Calvez, Patrice 9 Mosher, Lee 8 Boyland, Philip L. 8 Kennedy, Judy A. 8 Wise, Daniel T. 7 Fenley, Sérgio R. 7 Gürel, Basak Zehra 7 Koropecki, Andres 7 Leininger, Christopher J. 6 Algom-Kfir, Yael 6 Béguin, François 6 Bonatti, Christian 6 Dowdall, Spencer 6 García Guirao, Juan Luis 6 Ginzburg, Viktor L’vovich 6 Guirardel, Vincent 6 Hilion, Arnaud 6 Horbez, Camille 6 Oertel-Jäger, Tobias Hendrik 6 Kin, Eiko 6 Levitt, Gilbert 6 Rafi, Kasra 6 Taylor, Samuel Joseph 6 Zhang, Qiang 5 Alsedà, Lluís 5 Barbot, Thierry 5 Bridson, Martin R. 5 Brinkmann, Peter 5 Collins, Peter J. 5 Feighn, Mark E. 5 Francaviglia, Stefano 5 Ghys, Étienne 5 Hagen, Mark F. 5 Hall, Toby 5 Los, Jérôme E. 5 Margalit, Dan 5 Mj, Mahan 5 Pfaff, Catherine 5 Ribón, Javier 5 Silva, Pedro V. 5 Tal, Fábio Armando 5 Xavier, Juliana C. 4 Addas-Zanata, Salvador 4 Bestvina, Mladen 4 González-Meneses, Juan 4 Guelman, Nancy 4 Mendoza, Valentín 4 Mitchell, Kevin A. 4 Oprocha, Piotr 4 Pandit, Suhas 4 Sapir, Mark Valentinovich 4 Uyanik, Caglar 4 Vogtmann, Karen 4 Wade, Richard D. 3 Bogopolski, Oleg 3 Calegari, Danny Matthew Cornelius 3 Dahmani, François 3 Dicks, Warren 3 Farb, Benson 3 Fel’shtyn, Alexander 3 Firmo, Saponga 3 Gautero, François 3 Guaschi, John 3 Gupta, Radhika 3 Hamenstädt, Ursula 3 Henderson, James P. 3 Hensel, Sebastian Wolfgang 3 Hirose, Susumu 3 Hurtado, Sebastian 3 Kielak, Dawid 3 Koberda, Thomas 3 Le Roux, Frédéric 3 Lewowicz, Jorge 3 Liousse, Isabelle 3 Mann, Kathryn 3 Militon, Emmanuel 3 Myasnikov, Alexei G. 3 Parwani, Kamlesh 3 Passeggi, Alejandro 3 Potrie, Rafael 3 Rogers, James Ted jun. 3 Ruiz del Portal, Francisco Romero 3 Salles de Carvalho, André 3 Silver, Daniel S. 3 Sykiotis, Mihalis 3 Thiffeault, Jean-Luc 3 Wiest, Bertold 3 Wu, Jianchun 3 Yau, Shing-Tung 3 Yorke, James Alan 3 Yu, Bin 3 Zhuzhoma, Evgeniĭ Viktorovich ...and 450 more Authors
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#### Cited in 126 Serials

 41 Topology and its Applications 39 Geometry & Topology 38 Ergodic Theory and Dynamical Systems 27 Transactions of the American Mathematical Society 25 Algebraic & Geometric Topology 21 Geometriae Dedicata 21 Proceedings of the American Mathematical Society 18 Mathematische Zeitschrift 18 Groups, Geometry, and Dynamics 16 Inventiones Mathematicae 16 Journal of Algebra 14 Annales de l’Institut Fourier 13 International Journal of Algebra and Computation 11 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 11 Duke Mathematical Journal 9 Israel Journal of Mathematics 9 Mathematical Proceedings of the Cambridge Philosophical Society 8 Geometric and Functional Analysis. GAFA 8 Journal of Topology and Analysis 7 Communications in Algebra 7 Physica D 7 Experimental Mathematics 7 Journal of Topology 6 Advances in Mathematics 6 Publications Mathématiques 6 Journal of Pure and Applied Algebra 6 Journal of Knot Theory and its Ramifications 6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 6 Journal of Difference Equations and Applications 6 Journal of Group Theory 5 Bulletin of the American Mathematical Society. New Series 4 Bulletin of the London Mathematical Society 4 Journal für die Reine und Angewandte Mathematik 4 Memoirs of the American Mathematical Society 4 Chaos 4 Journal of the European Mathematical Society (JEMS) 4 Dynamical Systems 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Illinois Journal of Mathematics 3 Journal of Differential Equations 3 Journal of the Mathematical Society of Japan 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Journal of Dynamics and Differential Equations 3 Boletim da Sociedade Brasileira de Matemática. Nova Série 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Conformal Geometry and Dynamics 3 Acta Mathematica Sinica. English Series 3 Journal of Fixed Point Theory and Applications 2 Bulletin of the Australian Mathematical Society 2 Communications in Mathematical Physics 2 Rocky Mountain Journal of Mathematics 2 Chaos, Solitons and Fractals 2 Bulletin de la Société Mathématique de France 2 Compositio Mathematica 2 Journal of Functional Analysis 2 Journal of the London Mathematical Society. Second Series 2 Journal of Soviet Mathematics 2 Mathematische Annalen 2 Michigan Mathematical Journal 2 Monatshefte für Mathematik 2 Pacific Journal of Mathematics 2 Forum Mathematicum 2 Journal of Mathematical Sciences (New York) 2 Computational and Applied Mathematics 2 Discrete and Continuous Dynamical Systems 2 Annals of Mathematics. Second Series 2 Communications in Contemporary Mathematics 2 Annales Henri Poincaré 2 Qualitative Theory of Dynamical Systems 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Journal of the Institute of Mathematics of Jussieu 1 Archive for Rational Mechanics and Analysis 1 Discrete Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Analysis and Applications 1 Mathematical Notes 1 Reviews of Modern Physics 1 The Mathematical Intelligencer 1 Algebra and Logic 1 Anais da Academia Brasileira de Ciências 1 Archiv der Mathematik 1 Fundamenta Mathematicae 1 Osaka Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the Japan Academy. Series A 1 Results in Mathematics 1 Advances in Applied Mathematics 1 Chinese Annals of Mathematics. Series B 1 Annals of Pure and Applied Logic 1 Information and Computation 1 Journal of the American Mathematical Society 1 Publicacions Matemàtiques 1 International Journal of Mathematics 1 IMRN. International Mathematics Research Notices 1 Linear Algebra and its Applications 1 Journal of Nonlinear Science 1 Russian Mathematics 1 Topology Proceedings 1 Physics of Fluids 1 St. Petersburg Mathematical Journal ...and 26 more Serials
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#### Cited in 36 Fields

 314 Dynamical systems and ergodic theory (37-XX) 263 Group theory and generalizations (20-XX) 252 Manifolds and cell complexes (57-XX) 69 General topology (54-XX) 45 Differential geometry (53-XX) 29 Functions of a complex variable (30-XX) 25 Algebraic topology (55-XX) 18 Computer science (68-XX) 16 Global analysis, analysis on manifolds (58-XX) 14 Combinatorics (05-XX) 13 Topological groups, Lie groups (22-XX) 9 Several complex variables and analytic spaces (32-XX) 8 Mechanics of particles and systems (70-XX) 7 Number theory (11-XX) 7 Algebraic geometry (14-XX) 7 Measure and integration (28-XX) 7 Fluid mechanics (76-XX) 6 Ordinary differential equations (34-XX) 6 Probability theory and stochastic processes (60-XX) 5 Convex and discrete geometry (52-XX) 3 History and biography (01-XX) 3 Associative rings and algebras (16-XX) 3 Geometry (51-XX) 2 General and overarching topics; collections (00-XX) 2 $$K$$-theory (19-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Partial differential equations (35-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)