## Handel, Michael

Compute Distance To:
 Author ID: handel.michael Published as: Handel, Michael; Handel, M.
 Documents Indexed: 51 Publications since 1975, including 2 Books Co-Authors: 12 Co-Authors with 36 Joint Publications 382 Co-Co-Authors
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### Co-Authors

 15 single-authored 10 Franks, John M. 9 Mosher, Lee 8 Feighn, Mark E. 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. 1 Rudolph, Daniel J.
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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 1 Kyoto Journal of Mathematics
all top 5

### Fields

 30 Manifolds and cell complexes (57-XX) 24 Dynamical systems and ergodic theory (37-XX) 20 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 1,076 times in 684 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
New proofs of some results of Nielsen. Zbl 0584.57007
Handel, Michael; Thurston, William P.
1985
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
Anosov flows on new three manifolds. Zbl 0435.58019
Handel, Michael; Thurston, William P.
1980
Global shadowing of pseudo-Anosov homeomorphisms. Zbl 0576.58025
Handel, Michael
1985
The Tits alternative for $$\text{Out}(F_n)$$. II: A Kolchin type theorem. Zbl 1139.20026
Bestvina, Mladen; Feighn, Mark; Handel, Michael
2005
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
The rotation set of a homeomorphism of the annulus is closed. Zbl 0725.54032
Handel, Michael
1990
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
Lipschitz retraction and distortion for subgroups of $$\mathrm{Out}(F_n)$$. Zbl 1285.20033
Handel, Michael; Mosher, Lee
2013
Axes in outer space. Zbl 1238.57002
Handel, Michael; Mosher, Lee
2011
Commuting homeomorphisms of $$S^ 2$$. Zbl 0755.57012
Handel, Michael
1992
The entropy of orientation reversing homeomorphisms of surfaces. Zbl 0502.58028
Handel, Michael
1982
Solvable subgroups of $$\text{Out}(F_n)$$ are virtually Abelian. Zbl 1052.20027
Bestvina, Mladen; Feighn, Mark; Handel, Michael
2004
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
Entropy zero area preserving diffeomorphisms of $$S^{2}$$. Zbl 1359.37039
Franks, John; Handel, Michael
2012
Parageometric outer automorphisms of free groups. Zbl 1120.20042
Handel, Michael; Mosher, Lee
2007
Fixed points of abelian actions on $$S^2$$. Zbl 1143.37030
Franks, John; Handel, Michael; Parwani, Kamlesh
2007
The forcing partial order on the three times punctured disk. Zbl 0888.58016
Handel, Michael
1997
Abelian subgroups of $$\text{Out}(F_n)$$. Zbl 1201.20031
Feighn, Mark; Handel, Michael
2009
Periodic point free homeomorphism of $$T^ 2$$. Zbl 0812.54045
Handel, Michael
1989
Commensurations of $$\text{Out}(F_n)$$. Zbl 1137.20018
Farb, Benson; Handel, Michael
2007
Fixed points of Abelian actions. Zbl 1130.37023
Franks, John; Handel, Michael; Parwani, Kamlesh
2007
Algorithmic constructions of relative train track maps and CTs. Zbl 1456.20044
Feighn, Mark; Handel, Michael
2018
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
Orientation reversing Morse-Smale diffeomorphisms of $$S^ 2$$. Zbl 0481.58021
Batterson, Steve; Handel, Michael; Narasimhan, Carolyn
1981
Area preserving group actions on surfaces. Zbl 1036.37010
Franks, John; Handel, Michael
2003
Subgroup decomposition in $$\mathsf{Out}(F_n)$$. Zbl 07213236
Handel, Michael; Mosher, Lee
2020
There are no minimal homeomorphisms of the multipunctured plane. Zbl 0769.58037
Handel, Michael
1992
The free splitting complex of a free group. II: Loxodromic outer automorphisms. Zbl 07110617
Handel, Michael; Mosher, Lee
2019
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
A resolution of stratification conjectures concerning CS sets. Zbl 0405.57008
Handel, Michael
1978
Approximating stratum preserving CE maps between CS sets by stratum preserving homeomorphisms. Zbl 0343.57004
Handel, Michael
1975
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
The Bing staircase construction for Hilbert cube manifolds. Zbl 0404.57010
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
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
Some virtually abelian subgroups of the group of analytic symplectic diffeomorphisms of a surface. Zbl 1288.37006
Franks, John; Handel, Michael
2013
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
Parageometric outer automorphisms of free groups. Zbl 1120.20042
Handel, Michael; Mosher, Lee
2007
Fixed points of abelian actions on $$S^2$$. Zbl 1143.37030
Franks, John; Handel, Michael; Parwani, Kamlesh
2007
Commensurations of $$\text{Out}(F_n)$$. Zbl 1137.20018
Farb, Benson; Handel, Michael
2007
Fixed points of Abelian actions. Zbl 1130.37023
Franks, John; Handel, Michael; Parwani, Kamlesh
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 609 Authors

 27 Kapovich, Ilya 21 Handel, Michael 16 Martino, Armando 13 Le Calvez, Patrice 13 Ventura Capell, Enric 11 Llibre, Jaume 11 Lustig, Martin 10 Boroński, Jan P. 10 Fenley, Sérgio R. 10 Franks, John M. 10 Wise, Daniel T. 9 Guirardel, Vincent 9 Kennedy, Judy A. 9 Mosher, Lee 8 Bonatti, Christian 8 Boyland, Philip L. 8 Francaviglia, Stefano 8 Gürel, Basak Zehra 8 Horbez, Camille 8 Taylor, Samuel Joseph 7 Algom-Kfir, Yael 7 Ginzburg, Viktor L’vovich 7 Hilion, Arnaud 7 Koropecki, Andres 7 Leininger, Christopher J. 7 Levitt, Gilbert 7 Pfaff, Catherine 7 Zhang, Qiang 6 Barbot, Thierry 6 Béguin, François 6 Dowdall, Spencer 6 García Guirao, Juan Luis 6 Hall, Toby 6 Oertel-Jäger, Tobias Hendrik 6 Kin, Eiko 6 Mj, Mahan 6 Potrie, Rafael 6 Rafi, Kasra 6 Tal, Fábio Armando 5 Alsedà, Lluís 5 Bridson, Martin R. 5 Brinkmann, Peter 5 Collins, Peter J. 5 Ghys, Étienne 5 González-Meneses, Juan 5 Hagen, Mark F. 5 Hamenstädt, Ursula 5 Hensel, Sebastian Wolfgang 5 Hurtado-Salazar, Sebastian 5 Los, Jérôme E. 5 Margalit, Dan 5 Mendoza, Valentín 5 Mitchell, Kevin A. 5 Oprocha, Piotr 5 Ribón, Javier 5 Silva, Pedro V. 5 Xavier, Juliana C. 4 Addas-Zanata, Salvador 4 Bogopolski, Oleg 4 Brown, Aaron W. 4 Chen, Lei 4 Dahmani, François 4 Feighn, Mark E. 4 Firmo, Sebastião 4 Guelman, Nancy 4 Gupta, Radhika 4 Koberda, Thomas 4 Mann, Kathryn 4 Militon, Emmanuel 4 Pandit, Suhas 4 Salles de Carvalho, André 4 Sapir, Mark Valentinovich 4 Snoha, Ľubomír 4 Sykiotis, Mihalis 4 Uyanik, Caglar 4 Vogtmann, Karen 4 Wade, Richard D. 3 Bestvina, Mladen 3 Calegari, Danny Matthew Cornelius 3 Dicks, Warren 3 Farb, Benson 3 Fel’shtyn, Alexander 3 Gautero, François 3 Ghosh, Pritam 3 Gogolev, Andrey 3 Guaschi, John 3 Henderson, James P. 3 Hirose, Susumu 3 Jiang, Boju 3 Kielak, Dawid 3 Le Roux, Frédéric 3 Lewowicz, Jorge 3 Liousse, Isabelle 3 Maher, Joseph 3 Myasnikov, Alexei G. 3 Ohshika, Ken’ichi 3 Parwani, Kamlesh 3 Passeggi, Alejandro 3 Przytycki, Piotr 3 Rogers, James Ted jun. ...and 509 more Authors
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### Cited in 137 Serials

 45 Geometry & Topology 44 Ergodic Theory and Dynamical Systems 43 Topology and its Applications 31 Algebraic & Geometric Topology 30 Transactions of the American Mathematical Society 23 Geometriae Dedicata 22 Proceedings of the American Mathematical Society 20 Journal of Algebra 19 Mathematische Zeitschrift 19 Groups, Geometry, and Dynamics 16 Annales de l’Institut Fourier 16 Inventiones Mathematicae 14 International Journal of Algebra and Computation 12 Duke Mathematical Journal 11 Israel Journal of Mathematics 11 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 11 Journal of Topology and Analysis 9 Mathematical Proceedings of the Cambridge Philosophical Society 9 Advances in Mathematics 8 Communications in Algebra 8 Physica D 8 Geometric and Functional Analysis. GAFA 7 Journal of Pure and Applied Algebra 7 Journal of Knot Theory and its Ramifications 7 Experimental Mathematics 7 Journal of Topology 6 Publications Mathématiques 6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 6 Journal of Difference Equations and Applications 6 Journal of Group Theory 6 Journal of Fixed Point Theory and Applications 5 Bulletin of the American Mathematical Society. New Series 5 Annals of Mathematics. Second Series 4 Bulletin of the London Mathematical Society 4 Journal für die Reine und Angewandte Mathematik 4 Memoirs of the American Mathematical Society 4 Pacific Journal of Mathematics 4 Journal of Dynamics and Differential Equations 4 Chaos 4 Journal of the European Mathematical Society (JEMS) 4 Dynamical Systems 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Compositio Mathematica 3 Illinois Journal of Mathematics 3 Journal of Differential Equations 3 Journal of the Mathematical Society of Japan 3 Mathematische Annalen 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 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 the Institute of Mathematics of Jussieu 2 Bulletin of the Australian Mathematical Society 2 Communications in Mathematical Physics 2 Journal of Mathematical Analysis and Applications 2 Rocky Mountain Journal of Mathematics 2 Chaos, Solitons and Fractals 2 Archiv der Mathematik 2 Bulletin de la Société Mathématique de France 2 Journal of Functional Analysis 2 Journal of the London Mathematical Society. Second Series 2 Journal of Soviet Mathematics 2 Michigan Mathematical Journal 2 Monatshefte für Mathematik 2 Journal of the American Mathematical Society 2 Forum Mathematicum 2 International Journal of Mathematics 2 Journal of Mathematical Sciences (New York) 2 Computational and Applied Mathematics 2 The New York Journal of Mathematics 2 Discrete and Continuous Dynamical Systems 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 Modern Dynamics 2 Arnold Mathematical Journal 1 Archive for Rational Mechanics and Analysis 1 Discrete Mathematics 1 Journal d’Analyse Mathématique 1 Mathematical Notes 1 Reviews of Modern Physics 1 The Mathematical Intelligencer 1 Algebra and Logic 1 Anais da Academia Brasileira de Ciências 1 Commentarii Mathematici Helvetici 1 Fundamenta Mathematicae 1 Hokkaido Mathematical Journal 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 Publicacions Matemàtiques 1 IMRN. International Mathematics Research Notices 1 Glasnik Matematički. Serija III ...and 37 more Serials
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### Cited in 37 Fields

 351 Dynamical systems and ergodic theory (37-XX) 302 Group theory and generalizations (20-XX) 290 Manifolds and cell complexes (57-XX) 69 General topology (54-XX) 56 Differential geometry (53-XX) 30 Functions of a complex variable (30-XX) 27 Algebraic topology (55-XX) 21 Topological groups, Lie groups (22-XX) 20 Global analysis, analysis on manifolds (58-XX) 19 Computer science (68-XX) 17 Combinatorics (05-XX) 11 Several complex variables and analytic spaces (32-XX) 9 Mechanics of particles and systems (70-XX) 8 Algebraic geometry (14-XX) 8 Measure and integration (28-XX) 7 Number theory (11-XX) 7 Fluid mechanics (76-XX) 6 Ordinary differential equations (34-XX) 6 Probability theory and stochastic processes (60-XX) 5 Geometry (51-XX) 5 Convex and discrete geometry (52-XX) 4 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 4 Associative rings and algebras (16-XX) 2 Nonassociative rings and algebras (17-XX) 2 $$K$$-theory (19-XX) 2 Abstract harmonic analysis (43-XX) 2 Functional analysis (46-XX) 2 Numerical analysis (65-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Partial differential equations (35-XX) 1 Operator theory (47-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)