# zbMATH — the first resource for mathematics

## Gutkin, Eugene

Compute Distance To:
 Author ID: gutkin.eugene Published as: Gutkin, E.; Gutkin, E. A.; Gutkin, Eugene; Gutkin, Eugène
 Documents Indexed: 83 Publications since 1970 Reviewing Activity: 16 Reviews
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#### Co-Authors

 51 single-authored 2 Bangert, Victor 2 Haydn, Nicolai T. A. 2 Jonckheere, Edmond A. 2 Judge, Christopher M. 2 Katok, Anatole B. 2 Tabachnikov, Serge L. 1 Ahmad, Farooq 1 Babbitt, Donald George 1 Broomhead, David S. 1 Burns, Keith 1 Conze, Jean-Pierre 1 Daniel, M. E. 1 Davies, Brady R. 1 Del Magno, Gianluigi 1 Gaivão, José Pedro 1 Gutkin, Boris S. 1 Hubert, Pascal 1 Johnson, Russell Allan 1 Kac, Mark 1 Karow, Michael 1 Knill, Oliver 1 Newton, Paul K. 1 Rams, Michał 1 Schmidt, Thomas A. 1 Schröder, Viktor M. H. 1 Simányi, Nándor J. 1 Slodowy, Peter 1 Smilansky, Uzy 1 Sutherland, Bill 1 Troubetzkoy, Serge Eugene 1 Życzkowski, Karol
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#### Serials

 6 Physica D 4 Communications in Mathematical Physics 4 Functional Analysis and its Applications 4 Geometriae Dedicata 4 Ergodic Theory and Dynamical Systems 3 Journal of Mathematical Physics 3 Journal of Geometry and Physics 3 Duke Mathematical Journal 3 Linear Algebra and its Applications 2 Journal of Statistical Physics 2 Letters in Mathematical Physics 2 Physica A 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Discrete and Continuous Dynamical Systems 2 Chaos 2 Journal of Mathematical Fluid Mechanics 2 Regular and Chaotic Dynamics 1 American Mathematical Monthly 1 Journal of Mathematical Analysis and Applications 1 Reports on Mathematical Physics 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 The Mathematical Intelligencer 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Funkcialaj Ekvacioj. Serio Internacia 1 Journal of Functional Analysis 1 Journal für die Reine und Angewandte Mathematik 1 Nagoya Mathematical Journal 1 Transactions of the American Mathematical Society 1 Advances in Applied Mathematics 1 Geometric and Functional Analysis. GAFA 1 Annals of Physics 1 L’Enseignement Mathématique. 2e Série 1 Journal of Physics A: Mathematical and General 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Applied Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Algebras, Groups and Geometries 1 Mathematical Research Letters 1 Dynamical Systems 1 Moscow Mathematical Journal
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#### Fields

 38 Dynamical systems and ergodic theory (37-XX) 18 Differential geometry (53-XX) 13 Partial differential equations (35-XX) 12 Mechanics of particles and systems (70-XX) 9 Quantum theory (81-XX) 8 Group theory and generalizations (20-XX) 8 Topological groups, Lie groups (22-XX) 7 Functions of a complex variable (30-XX) 7 Manifolds and cell complexes (57-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Measure and integration (28-XX) 5 Operator theory (47-XX) 5 General topology (54-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Fluid mechanics (76-XX) 3 Number theory (11-XX) 2 Algebraic geometry (14-XX) 2 Associative rings and algebras (16-XX) 2 Special functions (33-XX) 2 Geometry (51-XX) 2 Probability theory and stochastic processes (60-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Optics, electromagnetic theory (78-XX)

#### Citations contained in zbMATH

78 Publications have been cited 651 times in 381 Documents Cited by Year
Affine mappings of translation surfaces: Geometry and arithmetic. Zbl 0965.30019
Gutkin, Eugene; Judge, Chris
2000
Convexity of the joint numerical range: Topological and differential geometric viewpoints. Zbl 1050.15026
Gutkin, Eugene; Jonckheere, Edmond A.; Karow, Michael
2004
Billiards in polygons: Survey of recent results. Zbl 1081.37525
Gutkin, Eugene
1996
Billiards on almost integrable polyhedral surfaces. Zbl 0569.58028
Gutkin, E.
1984
Caustics for inner and outer billiards. Zbl 0839.58036
Gutkin, Eugene; Katok, Anatole
1995
Billiards in polygons. Zbl 0593.58016
Gutkin, Eugene
1986
Billiard dynamics: a survey with the emphasis on open problems. Zbl 1023.37022
Gutkin, E.
2003
Dual polygonal billiards and necklace dynamics. Zbl 0749.58032
Gutkin, Eugene; Simanyi, Nandor
1992
Integrable systems with Delta-potential. Zbl 0517.35026
Gutkin, Eugene
1982
Differential topology of numerical range. Zbl 0934.15030
Jonckheere, Edmond A.; Ahmad, Farooq; Gutkin, Eugene
1998
The geometry and arithmetic of translation surfaces with applications to polygonal billiards. Zbl 0865.30060
Gutkin, Eugene; Judge, Chris
1996
Topological entropy of polygon exchange transformations and polygonal billiards. Zbl 0945.37005
Gutkin, Eugene; Haydn, Nicolai
1997
Blocking of billiard orbits and security for polygons and flat surfaces. Zbl 1134.37334
Gutkin, E.
2005
Affine diffeomorphisms of translation surfaces: periodic points, Fuchsian groups, and arithmeticity. Zbl 1106.37018
Gutkin, Eugene; Hubert, Pascal; Schmidt, Thomas A.
2003
Billiards in Finsler and Minkowski geometries. Zbl 1022.70009
Gutkin, Eugene; Tabachnikov, Serge
2002
Asymptotics of trajectories for cone potentials. Zbl 0587.58025
Gutkin, Eugene
1985
Integrable Hamiltonians with exponential potential. Zbl 0584.58024
Gutkin, Eugene
1985
Completely integrable systems and groups generated by reflections. Zbl 0428.35074
Gutkin, Eugene; Sutherland, Bill
1979
Billiard dynamics: An updated survey with the emphasis on open problems. Zbl 1331.37001
Gutkin, Eugene
2012
Capillary floating and the billiard ball problem. Zbl 1294.76075
Gutkin, Eugene
2012
Topological entropy of generalized polygon exchanges. Zbl 0879.54023
Gutkin, Eugene; Haydn, Nicolai
1995
Growth of the number of geodesics between points and insecurity for Riemannian manifolds. Zbl 1154.53025
Burns, Keith; Gutkin, Eugene
2008
Continuity of scattering data for particles on the line with directed repulsive interactions. Zbl 0628.70007
Gutkin, Eugene
1987
Propagation of chaos and the Burgers equation. Zbl 0554.35104
Gutkin, E.; Kac, M.
1983
Joint numerical ranges, quantum maps, and joint numerical shadows. Zbl 1266.15034
Gutkin, Eugene; Życzkowski, Karol
2013
Insecurity for compact surfaces of positive genus. Zbl 1202.53044
Bangert, Victor; Gutkin, Eugene
2010
Connecting geodesics and security of configurations in compact locally symmetric spaces. Zbl 1103.53027
Gutkin, Eugene; Schroeder, Viktor
2006
On recurrence and ergodicity for geodesic flows on non-compact periodic polygonal surfaces. Zbl 1261.37018
Conze, Jean-Pierre; Gutkin, Eugene
2012
Hyperbolic billiards on surfaces of constant curvature. Zbl 0947.37024
Gutkin, Boris; Smilansky, Uzy; Gutkin, Eugene
1999
The Plancherel formula for the infinite XXZ Heisenberg spin chain. Zbl 0719.58047
Babbitt, Donald; Gutkin, Eugene
1990
Geometry, topology and dynamics of geodesic flows on noncompact polygonal surfaces. Zbl 1203.37037
Gutkin, Eugene
2010
The method of images and Green’s function for spherical domains. Zbl 1067.78005
Gutkin, Eugene; Newton, Paul K.
2004
Directional flows and strong recurrence for polygonal billiards. Zbl 0904.58036
Gutkin, Eugene; Troubetzkoy, Serge
1996
Geometry and combinatorics of groups generated by reflections. Zbl 0617.57022
Gutkin, Eugene
1986
Curvatures, volumes and norms of derivatives for curves in Riemannian manifolds. Zbl 1231.53005
Gutkin, Eugene
2011
Growth rates for geometric complexities and counting functions in polygonal billiards. Zbl 1178.37037
Gutkin, Eugene; Rams, Michał
2009
The Toeplitz-Hausdorff theorem revisited: Relating linear algebra and geometry. Zbl 1187.47008
Gutkin, Eugene
2004
The dynamics of billiards with no-slip collisions. Zbl 0785.70013
1993
Regularity of the scattering trajectories in classical mechanics. Zbl 0657.70018
Gutkin, Eugene
1988
Bethe Ansatz and the generalized Yang-Baxter equations. Zbl 0652.58045
Gutkin, Eugene
1987
Cohomologie des variétés de drapeaux infinies. Zbl 0537.14032
Gutkin, Eugène; Slodowy, Peter
1983
Complexity of piecewise convex transformations in two dimensions, with applications to polygonal billiards on surfaces of constant curvature. Zbl 1123.53043
Gutkin, Eugene; Tabachnikov, Serge
2006
Two applications of calculus to triangular billiards. Zbl 0999.54026
Gutkin, Eugene
1997
Billiards that share a triangular caustic. Zbl 0981.37010
Gutkin, E.; Knill, O.
1996
Representations of Hecke algebras. Zbl 0661.22006
Gutkin, Eugene
1988
Conservation laws for the nonlinear Schrödinger equation. Zbl 0585.35080
Gutkin, Eugène
1985
Addendum to: “Capillary floating and the billiard ball problem”. Zbl 1418.76019
Gutkin, Eugene
2013
Topological entropy and blocking cost for geodesics in Riemannian manifolds. Zbl 1192.37037
Gutkin, Eugene
2009
Insecure configurations in lattice translation surfaces, with applications to polygonal billiards. Zbl 1115.37046
Gutkin, Eugene
2006
Branched coverings and closed geodesics in flat surfaces, with applications to billiards. Zbl 1196.37067
Gutkin, Eugene
2000
The dynamics of generalized Heisenberg ferromagnetic spin chain. Zbl 1055.82524
Daniel, M.; Gutkin, Eugene
1995
Operator calculi associated with reflection groups. Zbl 0629.57027
Gutkin, Eugene
1987
Quantum nonlinear Schrödinger equation. I: Intertwining operators. Zbl 0614.35086
Gutkin, Eugène
1986
Coefficients of Clebsch-Gordan for the holomorphic discrete series. Zbl 0423.22020
Gutkin, E.
1979
Matrices connected with groups generated by mappings. Zbl 0324.20056
Gutkin, E. A.
1973
Darstellungen der Weylschen Gruppe in einem Vektorraum vom Gewicht Null. Zbl 0288.20013
Gutkin, E. A.
1973
Dissipative outer billiards: a case study. Zbl 1351.37158
Del Magno, Gianluigi; Gaivão, Jose Pedro; Gutkin, Eugene
2015
Intertwining operators and the quantum inverse method for the nonlinear Schrödinger equation. Zbl 0696.35149
Davies, B.; Gutkin, E.
1988
Quantum nonlinear Schrödinger equation. II. Explicit solution. Zbl 0692.35089
Gutkin, Eugene
1988
Weakly mixing billiards. Zbl 0673.58028
Gutkin, E.; Katok, A.
1988
Schubert calculus on flag varieties of Kac-Moody groups. Zbl 0618.22012
Gutkin, Eugene
1986
Propagation of chaos and the Hopf-Cole transformation. Zbl 0606.35041
Gutkin, Eugene
1985
Overcomplete subspace systems and operator symbols. Zbl 0336.47016
Gutkin, E. A.
1976
Representations of the principal series of a complex semisimple Lie group. Zbl 0225.22023
Gutkin, E. A.
1970
On a multi-dimensional generalization of the notions of orthostochastic and unistochastic matrices. Zbl 1281.15041
Gutkin, Eugene
2013
Insecurity for compact surfaces of positive genus: commentary. Zbl 1245.53041
Bangert, Victor; Gutkin, Eugene
2012
Schur-Weyl duality and representations of permutation groups. Zbl 1066.20047
Gutkin, Eugene
2003
Green’s functions of free products of operators, with applications to graph spectra and to random walks. Zbl 0908.60072
Gutkin, Eugene
1998
A few remarks on the billiard ball problem. Zbl 0818.58036
Gutkin, Eugene
1994
Asymptotic velocities in classical mechanics. Zbl 0676.70012
Gutkin, Eugene
1989
Intersection theory for linear eigenvalue problems. Zbl 0676.35072
Gutkin, Eugene; Johnson, Russell
1989
Integrable many-body problems and functional equations. Zbl 0666.70022
Gutkin, Eugene
1988
Equivalence principle in statistical mechanics. Zbl 0667.60106
Gutkin, Eugene
1987
Bethe Ansatz and functional equations. Zbl 0656.35132
Gutkin, Eugene
1987
Commutation relations for creation-annihilation operators associated with the quantum nonlinear Schrödinger equation. Zbl 0626.46065
Gutkin, Eugene
1987
Asymptotics of trajectories for Newtonian dynamics with directed force. Zbl 0612.58043
Gutkin, Eugene
1987
A comment on Baxter condition for commutativity of transfer matrices. Zbl 0634.22022
Gutkin, Eugene
1986
Representations of algebraic unipotent groups over a self-dual field. Zbl 0285.20041
Gutkin, E. A.
1974
Dissipative outer billiards: a case study. Zbl 1351.37158
Del Magno, Gianluigi; Gaivão, Jose Pedro; Gutkin, Eugene
2015
Joint numerical ranges, quantum maps, and joint numerical shadows. Zbl 1266.15034
Gutkin, Eugene; Życzkowski, Karol
2013
Addendum to: “Capillary floating and the billiard ball problem”. Zbl 1418.76019
Gutkin, Eugene
2013
On a multi-dimensional generalization of the notions of orthostochastic and unistochastic matrices. Zbl 1281.15041
Gutkin, Eugene
2013
Billiard dynamics: An updated survey with the emphasis on open problems. Zbl 1331.37001
Gutkin, Eugene
2012
Capillary floating and the billiard ball problem. Zbl 1294.76075
Gutkin, Eugene
2012
On recurrence and ergodicity for geodesic flows on non-compact periodic polygonal surfaces. Zbl 1261.37018
Conze, Jean-Pierre; Gutkin, Eugene
2012
Insecurity for compact surfaces of positive genus: commentary. Zbl 1245.53041
Bangert, Victor; Gutkin, Eugene
2012
Curvatures, volumes and norms of derivatives for curves in Riemannian manifolds. Zbl 1231.53005
Gutkin, Eugene
2011
Insecurity for compact surfaces of positive genus. Zbl 1202.53044
Bangert, Victor; Gutkin, Eugene
2010
Geometry, topology and dynamics of geodesic flows on noncompact polygonal surfaces. Zbl 1203.37037
Gutkin, Eugene
2010
Growth rates for geometric complexities and counting functions in polygonal billiards. Zbl 1178.37037
Gutkin, Eugene; Rams, Michał
2009
Topological entropy and blocking cost for geodesics in Riemannian manifolds. Zbl 1192.37037
Gutkin, Eugene
2009
Growth of the number of geodesics between points and insecurity for Riemannian manifolds. Zbl 1154.53025
Burns, Keith; Gutkin, Eugene
2008
Connecting geodesics and security of configurations in compact locally symmetric spaces. Zbl 1103.53027
Gutkin, Eugene; Schroeder, Viktor
2006
Complexity of piecewise convex transformations in two dimensions, with applications to polygonal billiards on surfaces of constant curvature. Zbl 1123.53043
Gutkin, Eugene; Tabachnikov, Serge
2006
Insecure configurations in lattice translation surfaces, with applications to polygonal billiards. Zbl 1115.37046
Gutkin, Eugene
2006
Blocking of billiard orbits and security for polygons and flat surfaces. Zbl 1134.37334
Gutkin, E.
2005
Convexity of the joint numerical range: Topological and differential geometric viewpoints. Zbl 1050.15026
Gutkin, Eugene; Jonckheere, Edmond A.; Karow, Michael
2004
The method of images and Green’s function for spherical domains. Zbl 1067.78005
Gutkin, Eugene; Newton, Paul K.
2004
The Toeplitz-Hausdorff theorem revisited: Relating linear algebra and geometry. Zbl 1187.47008
Gutkin, Eugene
2004
Billiard dynamics: a survey with the emphasis on open problems. Zbl 1023.37022
Gutkin, E.
2003
Affine diffeomorphisms of translation surfaces: periodic points, Fuchsian groups, and arithmeticity. Zbl 1106.37018
Gutkin, Eugene; Hubert, Pascal; Schmidt, Thomas A.
2003
Schur-Weyl duality and representations of permutation groups. Zbl 1066.20047
Gutkin, Eugene
2003
Billiards in Finsler and Minkowski geometries. Zbl 1022.70009
Gutkin, Eugene; Tabachnikov, Serge
2002
Affine mappings of translation surfaces: Geometry and arithmetic. Zbl 0965.30019
Gutkin, Eugene; Judge, Chris
2000
Branched coverings and closed geodesics in flat surfaces, with applications to billiards. Zbl 1196.37067
Gutkin, Eugene
2000
Hyperbolic billiards on surfaces of constant curvature. Zbl 0947.37024
Gutkin, Boris; Smilansky, Uzy; Gutkin, Eugene
1999
Differential topology of numerical range. Zbl 0934.15030
Jonckheere, Edmond A.; Ahmad, Farooq; Gutkin, Eugene
1998
Green’s functions of free products of operators, with applications to graph spectra and to random walks. Zbl 0908.60072
Gutkin, Eugene
1998
Topological entropy of polygon exchange transformations and polygonal billiards. Zbl 0945.37005
Gutkin, Eugene; Haydn, Nicolai
1997
Two applications of calculus to triangular billiards. Zbl 0999.54026
Gutkin, Eugene
1997
Billiards in polygons: Survey of recent results. Zbl 1081.37525
Gutkin, Eugene
1996
The geometry and arithmetic of translation surfaces with applications to polygonal billiards. Zbl 0865.30060
Gutkin, Eugene; Judge, Chris
1996
Directional flows and strong recurrence for polygonal billiards. Zbl 0904.58036
Gutkin, Eugene; Troubetzkoy, Serge
1996
Billiards that share a triangular caustic. Zbl 0981.37010
Gutkin, E.; Knill, O.
1996
Caustics for inner and outer billiards. Zbl 0839.58036
Gutkin, Eugene; Katok, Anatole
1995
Topological entropy of generalized polygon exchanges. Zbl 0879.54023
Gutkin, Eugene; Haydn, Nicolai
1995
The dynamics of generalized Heisenberg ferromagnetic spin chain. Zbl 1055.82524
Daniel, M.; Gutkin, Eugene
1995
A few remarks on the billiard ball problem. Zbl 0818.58036
Gutkin, Eugene
1994
The dynamics of billiards with no-slip collisions. Zbl 0785.70013
1993
Dual polygonal billiards and necklace dynamics. Zbl 0749.58032
Gutkin, Eugene; Simanyi, Nandor
1992
The Plancherel formula for the infinite XXZ Heisenberg spin chain. Zbl 0719.58047
Babbitt, Donald; Gutkin, Eugene
1990
Asymptotic velocities in classical mechanics. Zbl 0676.70012
Gutkin, Eugene
1989
Intersection theory for linear eigenvalue problems. Zbl 0676.35072
Gutkin, Eugene; Johnson, Russell
1989
Regularity of the scattering trajectories in classical mechanics. Zbl 0657.70018
Gutkin, Eugene
1988
Representations of Hecke algebras. Zbl 0661.22006
Gutkin, Eugene
1988
Intertwining operators and the quantum inverse method for the nonlinear Schrödinger equation. Zbl 0696.35149
Davies, B.; Gutkin, E.
1988
Quantum nonlinear Schrödinger equation. II. Explicit solution. Zbl 0692.35089
Gutkin, Eugene
1988
Weakly mixing billiards. Zbl 0673.58028
Gutkin, E.; Katok, A.
1988
Integrable many-body problems and functional equations. Zbl 0666.70022
Gutkin, Eugene
1988
Continuity of scattering data for particles on the line with directed repulsive interactions. Zbl 0628.70007
Gutkin, Eugene
1987
Bethe Ansatz and the generalized Yang-Baxter equations. Zbl 0652.58045
Gutkin, Eugene
1987
Operator calculi associated with reflection groups. Zbl 0629.57027
Gutkin, Eugene
1987
Equivalence principle in statistical mechanics. Zbl 0667.60106
Gutkin, Eugene
1987
Bethe Ansatz and functional equations. Zbl 0656.35132
Gutkin, Eugene
1987
Commutation relations for creation-annihilation operators associated with the quantum nonlinear Schrödinger equation. Zbl 0626.46065
Gutkin, Eugene
1987
Asymptotics of trajectories for Newtonian dynamics with directed force. Zbl 0612.58043
Gutkin, Eugene
1987
Billiards in polygons. Zbl 0593.58016
Gutkin, Eugene
1986
Geometry and combinatorics of groups generated by reflections. Zbl 0617.57022
Gutkin, Eugene
1986
Quantum nonlinear Schrödinger equation. I: Intertwining operators. Zbl 0614.35086
Gutkin, Eugène
1986
Schubert calculus on flag varieties of Kac-Moody groups. Zbl 0618.22012
Gutkin, Eugene
1986
A comment on Baxter condition for commutativity of transfer matrices. Zbl 0634.22022
Gutkin, Eugene
1986
Asymptotics of trajectories for cone potentials. Zbl 0587.58025
Gutkin, Eugene
1985
Integrable Hamiltonians with exponential potential. Zbl 0584.58024
Gutkin, Eugene
1985
Conservation laws for the nonlinear Schrödinger equation. Zbl 0585.35080
Gutkin, Eugène
1985
Propagation of chaos and the Hopf-Cole transformation. Zbl 0606.35041
Gutkin, Eugene
1985
Billiards on almost integrable polyhedral surfaces. Zbl 0569.58028
Gutkin, E.
1984
Propagation of chaos and the Burgers equation. Zbl 0554.35104
Gutkin, E.; Kac, M.
1983
Cohomologie des variétés de drapeaux infinies. Zbl 0537.14032
Gutkin, Eugène; Slodowy, Peter
1983
Integrable systems with Delta-potential. Zbl 0517.35026
Gutkin, Eugene
1982
Completely integrable systems and groups generated by reflections. Zbl 0428.35074
Gutkin, Eugene; Sutherland, Bill
1979
Coefficients of Clebsch-Gordan for the holomorphic discrete series. Zbl 0423.22020
Gutkin, E.
1979
Overcomplete subspace systems and operator symbols. Zbl 0336.47016
Gutkin, E. A.
1976
Representations of algebraic unipotent groups over a self-dual field. Zbl 0285.20041
Gutkin, E. A.
1974
Matrices connected with groups generated by mappings. Zbl 0324.20056
Gutkin, E. A.
1973
Darstellungen der Weylschen Gruppe in einem Vektorraum vom Gewicht Null. Zbl 0288.20013
Gutkin, E. A.
1973
Representations of the principal series of a complex semisimple Lie group. Zbl 0225.22023
Gutkin, E. A.
1970
all top 5

#### Cited by 445 Authors

 41 Gutkin, Eugene 10 Tabachnikov, Serge L. 9 Hubert, Pascal 7 Chien, Mao-Ting 7 Nakazato, Hiroshi 7 Schmidt, Thomas A. 6 Bialy, Misha 6 Emsiz, Erdal 6 Spitkovsky, Ilya Matvey 6 Troubetzkoy, Serge Eugene 5 Feres, Renato 5 Gaivão, José Pedro 5 Masur, Howard A. 5 McMullen, Curtis Tracy 5 Möller, Martin 5 van Diejen, Jan Felipe 4 Ashwin, Peter 4 Conze, Jean-Pierre 4 Cox, Christopher Lee 4 Jonckheere, Edmond A. 4 Kaloshin, Vadim Yu. 4 Lau, Pan-Shun 4 Matheus, Carlos 4 Mironov, Andreĭ Evgen’evich 4 Smillie, John 4 Weiss, Barak 4 Wu, Shengjian 3 Avila Cordeiro de Melo, Artur 3 Bainbridge, Matt 3 Borodin, Alexei 3 Del Magno, Gianluigi 3 Eskin, Alex 3 Fomenko, Anatoliĭ Timofeevich 3 Forni, Giovanni 3 Frączek, Krzysztof Marek 3 Hooper, W. Patrick 3 Judge, Christopher M. 3 Li, Chi-Kwong 3 Lins, Brian 3 Muniz Oliva, Waldyr 3 Ostrover, Yaron 3 Ramírez-Ros, Rafael 3 Sorrentino, Alfonso 3 Ulcigrai, Corinna 3 Weis, Stephan 3 Weis, Stephan 3 Zaslavskiĭ, Georgiĭ Moiseevich 3 Zhong, Yumin 3 Życzkowski, Karol 2 Artstein-Avidan, Shiri 2 Artuso, Roberto 2 Bangert, Victor 2 Beck, Vincent 2 Bianca, Carlo 2 Bressler, Paul 2 Bunimovich, Leonid Abramovich 2 Chen, Dawei 2 Chumley, Timothy 2 Cook, Scott 2 Corwin, Ivan 2 Cui, Xiaojun 2 Duarte, Pedro 2 Dunkl, Charles F. 2 Edelman, Mark 2 Evens, Sam 2 Finster, Myriam 2 Fischbacher, Christoph 2 Fokicheva, Victoria V. 2 Fu, Xinchu 2 Galperin, Gregory 2 Gawron, Piotr 2 Gerber, Marlies 2 Gerhards, Christian 2 Goetz, Arek 2 Gorni, Gianluca 2 Guarneri, Italo 2 Huang, Yan 2 Isola, Stefano 2 Jeong, In-Jee 2 Jerónimo-Castro, Jesús 2 Kahng, Byungik 2 Katok, Anatole B. 2 Kholodenko, Arkady L. 2 Kim, Sun-Chul 2 Knill, Oliver 2 Krajenbrink, Alexandre 2 Krüger, Tyll 2 Kumar, Shrawan 2 Le Doussal, Pierre 2 Leborgne, Stéphane 2 Lelièvre, Samuel 2 Lopes Dias, João 2 Maggi, Francesco 2 Müller, Vladimír 2 Neretin, Yuriĭ Aleksandrovich 2 Nguyen, Duc-Manh 2 Petrov, Leonid 2 Pinheiro, Diogo 2 Pinto de Carvalho, Sônia 2 Poon, Yiu-Tung ...and 345 more Authors
all top 5

#### Cited in 128 Serials

 18 Communications in Mathematical Physics 18 Linear Algebra and its Applications 16 Geometriae Dedicata 14 Journal of Mathematical Physics 13 Duke Mathematical Journal 13 Physica D 12 Chaos 11 Ergodic Theory and Dynamical Systems 10 Advances in Mathematics 10 Inventiones Mathematicae 9 Journal of Geometry and Physics 8 Journal of Statistical Physics 7 Annales de l’Institut Fourier 6 Israel Journal of Mathematics 6 Transactions of the American Mathematical Society 6 Bulletin of the American Mathematical Society. New Series 6 Geometry & Topology 6 Dynamical Systems 5 Linear and Multilinear Algebra 5 Nonlinearity 5 Mathematische Annalen 5 Journal of the American Mathematical Society 5 Geometric and Functional Analysis. GAFA 4 Journal of Mathematical Analysis and Applications 4 Journal of Differential Equations 4 Journal of Functional Analysis 4 Journal of Modern Dynamics 3 Publications Mathématiques 3 Proceedings of the American Mathematical Society 3 SIAM Journal on Matrix Analysis and Applications 3 Experimental Mathematics 3 Discrete and Continuous Dynamical Systems 3 Quantum Information Processing 3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Journal d’Analyse Mathématique 2 Letters in Mathematical Physics 2 Moscow University Mathematics Bulletin 2 Russian Mathematical Surveys 2 Theoretical and Mathematical Physics 2 Chaos, Solitons and Fractals 2 The Mathematical Intelligencer 2 Journal of Algebra 2 Mathematische Zeitschrift 2 Acta Applicandae Mathematicae 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Probability Theory and Related Fields 2 Differential Geometry and its Applications 2 Annals of Physics 2 Elemente der Mathematik 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Journal of Mathematical Sciences (New York) 2 Conformal Geometry and Dynamics 2 Journal of Mathematical Fluid Mechanics 2 New Journal of Physics 2 Annals of Mathematics. Second Series 2 Regular and Chaotic Dynamics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Science China. Mathematics 1 Modern Physics Letters A 1 International Journal of Modern Physics A 1 International Journal of Modern Physics B 1 Computers & Mathematics with Applications 1 Communications on Pure and Applied Mathematics 1 Discrete Mathematics 1 Journal of Computational Physics 1 Physica A 1 Reports on Mathematical Physics 1 Acta Arithmetica 1 Acta Mathematica 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Applied Mathematics and Computation 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica 1 Functional Analysis and its Applications 1 Illinois Journal of Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Kodai Mathematical Journal 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Quarterly of Applied Mathematics 1 Results in Mathematics 1 Studies in Applied Mathematics 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Advances in Applied Mathematics 1 Bulletin of the Iranian Mathematical Society 1 Boletim da Sociedade Portuguesa de Matemática 1 Applied Mathematics Letters 1 Dynamics and Stability of Systems 1 Multidimensional Systems and Signal Processing 1 Applications of Mathematics 1 Numerical Algorithms 1 Aequationes Mathematicae 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Indagationes Mathematicae. New Series 1 Calculus of Variations and Partial Differential Equations 1 Journal of Convex Analysis 1 Izvestiya: Mathematics 1 Representation Theory ...and 28 more Serials
all top 5

#### Cited in 52 Fields

 191 Dynamical systems and ergodic theory (37-XX) 52 Functions of a complex variable (30-XX) 43 Quantum theory (81-XX) 40 Differential geometry (53-XX) 36 Several complex variables and analytic spaces (32-XX) 34 Mechanics of particles and systems (70-XX) 34 Statistical mechanics, structure of matter (82-XX) 32 Linear and multilinear algebra; matrix theory (15-XX) 27 Operator theory (47-XX) 24 Algebraic geometry (14-XX) 22 Manifolds and cell complexes (57-XX) 21 Group theory and generalizations (20-XX) 16 Convex and discrete geometry (52-XX) 14 Number theory (11-XX) 14 Probability theory and stochastic processes (60-XX) 12 Partial differential equations (35-XX) 11 Topological groups, Lie groups (22-XX) 9 Combinatorics (05-XX) 9 Ordinary differential equations (34-XX) 9 Geometry (51-XX) 9 Fluid mechanics (76-XX) 8 Measure and integration (28-XX) 7 Functional analysis (46-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Optics, electromagnetic theory (78-XX) 6 Nonassociative rings and algebras (17-XX) 6 Special functions (33-XX) 6 General topology (54-XX) 5 Numerical analysis (65-XX) 5 Information and communication theory, circuits (94-XX) 4 Associative rings and algebras (16-XX) 4 Computer science (68-XX) 3 General and overarching topics; collections (00-XX) 3 Abstract harmonic analysis (43-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Algebraic topology (55-XX) 3 Systems theory; control (93-XX) 2 History and biography (01-XX) 2 Commutative algebra (13-XX) 2 Real functions (26-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Operations research, mathematical programming (90-XX) 1 Field theory and polynomials (12-XX) 1 $$K$$-theory (19-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX)