×
Author ID: handel.michael Recent zbMATH articles by "Handel, Michael"
Published as: Handel, Michael; Handel, M.

Publications by Year

Citations contained in zbMATH Open

52 Publications have been cited 1,219 times in 760 Documents Cited by Year
Train tracks and automorphisms of free groups. Zbl 0757.57004
Bestvina, Mladen; Handel, Michael
193
1992
Train-tracks for surface homeomorphisms. Zbl 0837.57010
Bestvina, M.; Handel, M.
100
1995
The Tits alternative for \(\text{Out}(F_n)\). I: Dynamics of exponentially-growing automorphisms. Zbl 0984.20025
Bestvina, Mladen; Feighn, Mark; Handel, Michael
88
2000
Laminations, trees, and irreducible automorphisms of free groups. Zbl 0884.57002
Bestvina, M.; Feighn, M.; Handel, M.
79
1997
A pathological area preserving \(C^\infty\) diffeomorphism of the plane. Zbl 0509.58031
Handel, Michael
55
1982
The free splitting complex of a free group. I: Hyperbolicity. Zbl 1278.20053
Handel, Michael; Mosher, Lee
49
2013
New proofs of some results of Nielsen. Zbl 0584.57007
Handel, Michael; Thurston, William P.
43
1985
The Tits alternative for \(\text{Out}(F_n)\). II: A Kolchin type theorem. Zbl 1139.20026
Bestvina, Mladen; Feighn, Mark; Handel, Michael
42
2005
Periodic points of Hamiltonian surface diffeomorphisms. Zbl 1034.37028
Franks, John; Handel, Michael
42
2003
Anosov flows on new three manifolds. Zbl 0435.58019
Handel, Michael; Thurston, William P.
42
1980
Global shadowing of pseudo-Anosov homeomorphisms. Zbl 0576.58025
Handel, Michael
37
1985
Mapping tori of free group automorphisms are coherent. Zbl 0938.20022
Feighn, Mark; Handel, Michael
28
1999
Distortion elements in group actions on surfaces. Zbl 1088.37009
Franks, John; Handel, Michael
28
2006
The recognition theorem for \(\text{Out}(F_n)\). Zbl 1239.20036
Feighn, Mark; Handel, Michael
26
2011
The rotation set of a homeomorphism of the annulus is closed. Zbl 0725.54032
Handel, Michael
25
1990
Axes in outer space. Zbl 1238.57002
Handel, Michael; Mosher, Lee
21
2011
A fixed-point theorem for planar homeomorphisms. Zbl 0928.55001
Handel, Michael
21
1999
Lipschitz retraction and distortion for subgroups of \(\mathrm{Out}(F_n)\). Zbl 1285.20033
Handel, Michael; Mosher, Lee
20
2013
Subgroup decomposition in \(\mathsf{Out}(F_n)\). Zbl 07213236
Handel, Michael; Mosher, Lee
20
2020
Solvable subgroups of \(\text{Out}(F_n)\) are virtually Abelian. Zbl 1052.20027
Bestvina, Mladen; Feighn, Mark; Handel, Michael
19
2004
Metrics and entropy for non-compact spaces. Appendix by Daniel J. Rudolph. Zbl 0881.54021
Handel, Michael; Kitchens, Bruce
16
1995
Commuting homeomorphisms of \(S^ 2\). Zbl 0755.57012
Handel, Michael
16
1992
The entropy of orientation reversing homeomorphisms of surfaces. Zbl 0502.58028
Handel, Michael
15
1982
The expansion factors of an outer automorphism and its inverse. Zbl 1127.20021
Handel, Michael; Mosher, Lee
14
2007
Algorithmic constructions of relative train track maps and CTs. Zbl 1456.20044
Feighn, Mark; Handel, Michael
13
2018
The forcing partial order on the three times punctured disk. Zbl 0888.58016
Handel, Michael
12
1997
Fixed points of abelian actions on \(S^2\). Zbl 1143.37030
Franks, John; Handel, Michael; Parwani, Kamlesh
11
2007
Periodic point free homeomorphism of \(T^ 2\). Zbl 0812.54045
Handel, Michael
11
1989
Commensurations of \(\text{Out}(F_n)\). Zbl 1137.20018
Farb, Benson; Handel, Michael
11
2007
Entropy zero area preserving diffeomorphisms of \(S^{2}\). Zbl 1359.37039
Franks, John; Handel, Michael
11
2012
Parageometric outer automorphisms of free groups. Zbl 1120.20042
Handel, Michael; Mosher, Lee
10
2007
On certain sums of Hilbert cubes. Zbl 0496.57008
Handel, Michael
10
1978
Abelian subgroups of \(\text{Out}(F_n)\). Zbl 1201.20031
Feighn, Mark; Handel, Michael
10
2009
Fixed points of Abelian actions. Zbl 1130.37023
Franks, John; Handel, Michael; Parwani, Kamlesh
9
2007
Global fixed points for centralizers and Morita’s theorem. Zbl 1160.37326
Franks, John; Handel, Michael
8
2009
Orientation reversing Morse-Smale diffeomorphisms of \(S^ 2\). Zbl 0481.58021
Batterson, Steve; Handel, Michael; Narasimhan, Carolyn
7
1981
Area preserving group actions on surfaces. Zbl 1036.37010
Franks, John; Handel, Michael
7
2003
There are no minimal homeomorphisms of the multipunctured plane. Zbl 0769.58037
Handel, Michael
7
1992
The free splitting complex of a free group. II: Loxodromic outer automorphisms. Zbl 1515.20223
Handel, Michael; Mosher, Lee
7
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
6
2013
A resolution of stratification conjectures concerning CS sets. Zbl 0405.57008
Handel, Michael
5
1978
Entropy and exponential growth of \(\pi _ 1\) in dimension two. Zbl 0644.58016
Franks, John M.; Handel, Michael
4
1988
Entropy and semi-conjugacy in dimension two. Zbl 0675.58025
Handel, Michael
4
1988
Approximating stratum preserving CE maps between CS sets by stratum preserving homeomorphisms. Zbl 0343.57004
Handel, Michael
4
1975
Second bounded cohomology and WWPD. Zbl 1490.57027
Handel, Michael; Mosher, Lee
3
2021
The Bing staircase construction for Hilbert cube manifolds. Zbl 0404.57010
Handel, Michael
2
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
Bestvina, Mladen; Handel, Michael
2
1992
A McCool Whitehead type theorem for finitely generated subgroups of \(\operatorname{Out}(F_n)\). (Un théorème du type McCool Whitehead pour les sous-groupes de type fini de \(\operatorname{Out}(F_n)\).) Zbl 1522.20164
Bestvina, Mladen; Feighn, Mark; Handel, Michael
2
2023
Time dependent relative risk aversion. Zbl 1154.91503
Giacomini, Enzo; Handel, Michael; Härdle, Wolfgang K.
1
2009
One dimensional minimal sets and the Seifert conjecture. Zbl 0454.54027
Handel, Michael
1
1980
Some virtually abelian subgroups of the group of analytic symplectic diffeomorphisms of a surface. Zbl 1288.37006
Franks, John; Handel, Michael
1
2013
Virtually abelian subgroups of \(\mathrm{IA}_n(\mathbb{Z}/3)\) are abelian. Zbl 1498.20083
Handel, Michael; Mosher, Lee
1
2020
A McCool Whitehead type theorem for finitely generated subgroups of \(\operatorname{Out}(F_n)\). (Un théorème du type McCool Whitehead pour les sous-groupes de type fini de \(\operatorname{Out}(F_n)\).) Zbl 1522.20164
Bestvina, Mladen; Feighn, Mark; Handel, Michael
2
2023
Second bounded cohomology and WWPD. Zbl 1490.57027
Handel, Michael; Mosher, Lee
3
2021
Subgroup decomposition in \(\mathsf{Out}(F_n)\). Zbl 07213236
Handel, Michael; Mosher, Lee
20
2020
Virtually abelian subgroups of \(\mathrm{IA}_n(\mathbb{Z}/3)\) are abelian. Zbl 1498.20083
Handel, Michael; Mosher, Lee
1
2020
The free splitting complex of a free group. II: Loxodromic outer automorphisms. Zbl 1515.20223
Handel, Michael; Mosher, Lee
7
2019
Algorithmic constructions of relative train track maps and CTs. Zbl 1456.20044
Feighn, Mark; Handel, Michael
13
2018
The free splitting complex of a free group. I: Hyperbolicity. Zbl 1278.20053
Handel, Michael; Mosher, Lee
49
2013
Lipschitz retraction and distortion for subgroups of \(\mathrm{Out}(F_n)\). Zbl 1285.20033
Handel, Michael; Mosher, Lee
20
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
6
2013
Some virtually abelian subgroups of the group of analytic symplectic diffeomorphisms of a surface. Zbl 1288.37006
Franks, John; Handel, Michael
1
2013
Entropy zero area preserving diffeomorphisms of \(S^{2}\). Zbl 1359.37039
Franks, John; Handel, Michael
11
2012
The recognition theorem for \(\text{Out}(F_n)\). Zbl 1239.20036
Feighn, Mark; Handel, Michael
26
2011
Axes in outer space. Zbl 1238.57002
Handel, Michael; Mosher, Lee
21
2011
Abelian subgroups of \(\text{Out}(F_n)\). Zbl 1201.20031
Feighn, Mark; Handel, Michael
10
2009
Global fixed points for centralizers and Morita’s theorem. Zbl 1160.37326
Franks, John; Handel, Michael
8
2009
Time dependent relative risk aversion. Zbl 1154.91503
Giacomini, Enzo; Handel, Michael; Härdle, Wolfgang K.
1
2009
The expansion factors of an outer automorphism and its inverse. Zbl 1127.20021
Handel, Michael; Mosher, Lee
14
2007
Fixed points of abelian actions on \(S^2\). Zbl 1143.37030
Franks, John; Handel, Michael; Parwani, Kamlesh
11
2007
Commensurations of \(\text{Out}(F_n)\). Zbl 1137.20018
Farb, Benson; Handel, Michael
11
2007
Parageometric outer automorphisms of free groups. Zbl 1120.20042
Handel, Michael; Mosher, Lee
10
2007
Fixed points of Abelian actions. Zbl 1130.37023
Franks, John; Handel, Michael; Parwani, Kamlesh
9
2007
Distortion elements in group actions on surfaces. Zbl 1088.37009
Franks, John; Handel, Michael
28
2006
The Tits alternative for \(\text{Out}(F_n)\). II: A Kolchin type theorem. Zbl 1139.20026
Bestvina, Mladen; Feighn, Mark; Handel, Michael
42
2005
Solvable subgroups of \(\text{Out}(F_n)\) are virtually Abelian. Zbl 1052.20027
Bestvina, Mladen; Feighn, Mark; Handel, Michael
19
2004
Periodic points of Hamiltonian surface diffeomorphisms. Zbl 1034.37028
Franks, John; Handel, Michael
42
2003
Area preserving group actions on surfaces. Zbl 1036.37010
Franks, John; Handel, Michael
7
2003
The Tits alternative for \(\text{Out}(F_n)\). I: Dynamics of exponentially-growing automorphisms. Zbl 0984.20025
Bestvina, Mladen; Feighn, Mark; Handel, Michael
88
2000
Mapping tori of free group automorphisms are coherent. Zbl 0938.20022
Feighn, Mark; Handel, Michael
28
1999
A fixed-point theorem for planar homeomorphisms. Zbl 0928.55001
Handel, Michael
21
1999
Laminations, trees, and irreducible automorphisms of free groups. Zbl 0884.57002
Bestvina, M.; Feighn, M.; Handel, M.
79
1997
The forcing partial order on the three times punctured disk. Zbl 0888.58016
Handel, Michael
12
1997
Train-tracks for surface homeomorphisms. Zbl 0837.57010
Bestvina, M.; Handel, M.
100
1995
Metrics and entropy for non-compact spaces. Appendix by Daniel J. Rudolph. Zbl 0881.54021
Handel, Michael; Kitchens, Bruce
16
1995
Train tracks and automorphisms of free groups. Zbl 0757.57004
Bestvina, Mladen; Handel, Michael
193
1992
Commuting homeomorphisms of \(S^ 2\). Zbl 0755.57012
Handel, Michael
16
1992
There are no minimal homeomorphisms of the multipunctured plane. Zbl 0769.58037
Handel, Michael
7
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
Bestvina, Mladen; Handel, Michael
2
1992
The rotation set of a homeomorphism of the annulus is closed. Zbl 0725.54032
Handel, Michael
25
1990
Periodic point free homeomorphism of \(T^ 2\). Zbl 0812.54045
Handel, Michael
11
1989
Entropy and exponential growth of \(\pi _ 1\) in dimension two. Zbl 0644.58016
Franks, John M.; Handel, Michael
4
1988
Entropy and semi-conjugacy in dimension two. Zbl 0675.58025
Handel, Michael
4
1988
New proofs of some results of Nielsen. Zbl 0584.57007
Handel, Michael; Thurston, William P.
43
1985
Global shadowing of pseudo-Anosov homeomorphisms. Zbl 0576.58025
Handel, Michael
37
1985
A pathological area preserving \(C^\infty\) diffeomorphism of the plane. Zbl 0509.58031
Handel, Michael
55
1982
The entropy of orientation reversing homeomorphisms of surfaces. Zbl 0502.58028
Handel, Michael
15
1982
Orientation reversing Morse-Smale diffeomorphisms of \(S^ 2\). Zbl 0481.58021
Batterson, Steve; Handel, Michael; Narasimhan, Carolyn
7
1981
Anosov flows on new three manifolds. Zbl 0435.58019
Handel, Michael; Thurston, William P.
42
1980
One dimensional minimal sets and the Seifert conjecture. Zbl 0454.54027
Handel, Michael
1
1980
On certain sums of Hilbert cubes. Zbl 0496.57008
Handel, Michael
10
1978
A resolution of stratification conjectures concerning CS sets. Zbl 0405.57008
Handel, Michael
5
1978
The Bing staircase construction for Hilbert cube manifolds. Zbl 0404.57010
Handel, Michael
2
1978
Approximating stratum preserving CE maps between CS sets by stratum preserving homeomorphisms. Zbl 0343.57004
Handel, Michael
4
1975
all top 5

Cited by 679 Authors

28 Kapovich, Ilya
23 Handel, Michael
16 Martino, Armando
13 Le Calvez, Patrice
13 Ventura Capell, Enric
12 Boroński, Jan P.
12 Lustig, Martin
11 Fenley, Sérgio R.
11 Kennedy, Judy A.
11 Llibre, Jaume
10 Franks, John M.
10 Guirardel, Vincent
10 Horbez, Camille
10 Mosher, Lee
10 Wise, Daniel T.
9 Bonatti, Christian
9 Kin, Eiko
9 Pfaff, Catherine
9 Taylor, Samuel Joseph
8 Boyland, Philip L.
8 Francaviglia, Stefano
8 Gürel, Basak Zehra
8 Hilion, Arnaud
8 Rafi, Kasra
8 Zhang, Qiang
7 Algom-Kfir, Yael
7 Dowdall, Spencer
7 Ginzburg, Viktor L’vovich
7 Koropecki, Andres
7 Leininger, Christopher J.
7 Levitt, Gilbert
7 Potrie, Rafael
7 Tal, Fábio Armando
6 Barbot, Thierry
6 Béguin, François
6 Bestvina, Mladen
6 Bridson, Martin R.
6 Chen, Lei
6 Feighn, Mark E.
6 García Guirao, Juan Luis
6 Hall, Toby
6 Oertel-Jäger, Tobias Hendrik
6 Mj, Mahan
6 Oprocha, Piotr
5 Addas-Zanata, Salvador
5 Alsedà, Lluís
5 Brinkmann, Peter
5 Collins, Peter J.
5 Ghys, Étienne
5 González-Meneses, Juan
5 Gupta, Radhika
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 Ribón, Javier
5 Silva, Pedro V.
5 Uyanik, Caglar
5 Wade, Richard D.
5 Xavier, Juliana C.
4 Bogopolski, Oleg
4 Brown, Aaron W.
4 Dahmani, François
4 Ghosh, Pritam
4 Guelman, Nancy
4 Guerch, Yassine
4 Kielak, Dawid
4 Koberda, Thomas
4 Lyman, Rylee Alanza
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 Vogtmann, Karen
4 Yorke, James Alan
4 Yu, Bin
3 Calegari, Danny Matthew Cornelius
3 Carvalho, Andre
3 Ciobanu, Laura
3 Clark, Alex
3 Dicks, Warren
3 Farb, Benson
3 Fel’shtyn, Alexander
3 Firmo, Sebastião
3 Gautero, François
3 Gogolev, Andrey
3 Guaschi, John
3 Henderson, James P.
3 Hirose, Susumu
3 Jiang, Boju
3 Le Roux, Frédéric
3 Lewowicz, Jorge
3 Liousse, Isabelle
...and 579 more Authors
all top 5

Cited in 145 Serials

49 Ergodic Theory and Dynamical Systems
47 Topology and its Applications
45 Geometry & Topology
33 Transactions of the American Mathematical Society
32 Algebraic & Geometric Topology
26 Geometriae Dedicata
22 Proceedings of the American Mathematical Society
21 Journal of Algebra
21 Groups, Geometry, and Dynamics
19 Mathematische Zeitschrift
17 Inventiones Mathematicae
16 Annales de l’Institut Fourier
15 International Journal of Algebra and Computation
12 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
12 Duke Mathematical Journal
11 Israel Journal of Mathematics
11 Advances in Mathematics
11 Journal of Topology and Analysis
10 Geometric and Functional Analysis. GAFA
10 Journal of Group Theory
9 Communications in Algebra
9 Mathematical Proceedings of the Cambridge Philosophical Society
9 Journal of the London Mathematical Society. Second Series
9 Journal of Topology
8 Physica D
8 Journal of Difference Equations and Applications
7 Compositio Mathematica
7 Journal of Pure and Applied Algebra
7 Journal of Knot Theory and its Ramifications
7 Experimental Mathematics
6 Bulletin of the London Mathematical Society
6 Publications Mathématiques
6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
6 Journal of Fixed Point Theory and Applications
5 Journal für die Reine und Angewandte Mathematik
5 Memoirs of the American Mathematical Society
5 Bulletin of the American Mathematical Society. New Series
5 Journal of Dynamics and Differential Equations
5 Annals of Mathematics. Second Series
5 Journal of the European Mathematical Society (JEMS)
4 Illinois Journal of Mathematics
4 Journal of the Mathematical Society of Japan
4 Pacific Journal of Mathematics
4 Conformal Geometry and Dynamics
4 Chaos
4 Dynamical Systems
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Journal of the Institute of Mathematics of Jussieu
3 Journal of Differential Equations
3 Mathematische Annalen
3 Michigan Mathematical Journal
3 International Journal of Mathematics
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 Acta Mathematica Sinica. English Series
3 Oberwolfach Reports
3 Annales Henri Lebesgue
2 Bulletin of the Australian Mathematical Society
2 Communications in Mathematical Physics
2 Journal of Mathematical Analysis and Applications
2 Nonlinearity
2 Rocky Mountain Journal of Mathematics
2 Chaos, Solitons and Fractals
2 Archiv der Mathematik
2 Bulletin de la Société Mathématique de France
2 Commentarii Mathematici Helvetici
2 Fundamenta Mathematicae
2 Journal of Functional Analysis
2 Journal of Soviet Mathematics
2 Monatshefte für Mathematik
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Results in Mathematics
2 Journal of the American Mathematical Society
2 Forum Mathematicum
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 Hokkaido Mathematical Journal
1 Indiana University Mathematics Journal
1 The Journal of Symbolic Logic
1 Osaka Journal of Mathematics
1 Proceedings of the Japan Academy. Series A
1 Proceedings of the London Mathematical Society. Third Series
1 Advances in Applied Mathematics
...and 45 more Serials
all top 5

Cited in 38 Fields

384 Dynamical systems and ergodic theory (37-XX)
344 Group theory and generalizations (20-XX)
318 Manifolds and cell complexes (57-XX)
76 General topology (54-XX)
62 Differential geometry (53-XX)
32 Algebraic topology (55-XX)
30 Functions of a complex variable (30-XX)
22 Topological groups, Lie groups (22-XX)
21 Global analysis, analysis on manifolds (58-XX)
20 Computer science (68-XX)
19 Combinatorics (05-XX)
12 Several complex variables and analytic spaces (32-XX)
12 Mechanics of particles and systems (70-XX)
9 Measure and integration (28-XX)
8 Algebraic geometry (14-XX)
7 Number theory (11-XX)
7 Fluid mechanics (76-XX)
6 General and overarching topics; collections (00-XX)
6 Ordinary differential equations (34-XX)
6 Probability theory and stochastic processes (60-XX)
5 Functional analysis (46-XX)
5 Geometry (51-XX)
5 Convex and discrete geometry (52-XX)
4 History and biography (01-XX)
3 Associative rings and algebras (16-XX)
3 Nonassociative rings and algebras (17-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 \(K\)-theory (19-XX)
2 Abstract harmonic analysis (43-XX)
2 Numerical analysis (65-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-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)

Citations by Year