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Author ID: viana.marcelo Recent zbMATH articles by "Viana, Marcelo"
Published as: Viana, Marcelo; Viana, M.
Homepage: http://w3.impa.br/~viana/
External Links: MGP · Wikidata · dblp · GND · IdRef

Publications by Year

Citations contained in zbMATH Open

72 Publications have been cited 1,999 times in 1,113 Documents Cited by Year
Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective. Zbl 1060.37020
Bonatti, Christian; Díaz, Lorenzo J.; Viana, Marcelo
231
2005
SRB measures for partially hyperbolic systems whose central direction is mostly expanding. Zbl 0962.37012
Alves, José F.; Bonatti, Christian; Viana, Marcelo
156
2000
Abundance of strange attractors. Zbl 0815.58016
Mora, Leonardo; Viana, Marcelo
133
1993
SRB measures for partially hyperbolic systems whose central direction is mostly contracting. Zbl 0996.37033
Bonatti, Christian; Viana, Marcelo
121
2000
Lectures on Lyapunov exponents. Zbl 1309.37001
Viana, Marcelo
78
2014
The Lyapunov exponents of generic volume-preserving and symplectic maps. Zbl 1101.37039
Bochi, Jairo; Viana, Marcelo
77
2005
High dimension diffeomorphisms displaying infinitely many periodic attractors. Zbl 0817.58004
Palis, J.; Viana, M.
63
1994
Extremal Lyapunov exponents: an invariance principle and applications. Zbl 1196.37054
Avila, Artur; Viana, Marcelo
63
2010
Singular-hyperbolic attractors are chaotic. Zbl 1214.37010
Araujo, V.; Pacifico, M. J.; Pujals, E. R.; Viana, M.
62
2009
Ergodic theory of interval exchange maps. Zbl 1112.37003
Viana, Marcelo
60
2006
Foundations of ergodic theory. Zbl 1369.37001
Viana, Marcelo; Oliveira, Krerley
59
2016
Simplicity of Lyapunov spectra: proof of the Zorich-Kontsevich conjecture. Zbl 1143.37001
Avila, Artur; Viana, Marcelo
58
2007
Multidimensional nonhyperbolic attractors. Zbl 1037.37016
Viana, Marcelo
52
1997
Almost all cocycles over any hyperbolic system have nonvanishing Lyapunov exponents. Zbl 1173.37019
Viana, Marcelo
47
2008
What’s new on Lorenz strange attractors? Zbl 1052.37026
Viana, Marcelo
45
2000
Généricité d’exposants de Lyapunov non-nuls pour des produits déterministes de matrices. (Genericity of non-zero Lyapunov exponents for deterministic products of matrices). Zbl 1025.37018
Bonatti, Christian; Gómez-Mont, Xavier; Viana, Marcelo
45
2003
Existence, uniqueness and stability of equilibrium states for non-uniformly expanding maps. Zbl 1193.37009
Varandas, Paulo; Viana, Marcelo
39
2010
Statistical stability for robust classes of maps with non-uniform expansion. Zbl 1067.37034
Alves, José F.; Viana, Marcelo
38
2002
The entropy conjecture for diffeomorphisms away from tangencies. Zbl 1325.37031
Liao, Gang; Viana, Marcelo; Yang, Jiagang
32
2013
Lyapunov exponents with multiplicity 1 for deterministic products of matrices. Zbl 1087.37017
Bonatti, C.; Viana, M.
31
2004
Physical measures and absolute continuity for one-dimensional center direction. Zbl 1417.37105
Viana, Marcelo; Yang, Jiagang
29
2013
Lorenz attractors with arbitrary expanding dimension. Zbl 0896.58043
Bonatti, Christian; Pumariño, António; Viana, Marcelo
27
1997
Strange attractors in higher dimensions. Zbl 0784.58044
Viana, Marcelo
24
1993
Holonomy invariance: rough regularity and applications to Lyapunov exponents. Zbl 1348.37005
Avila, Artur; Santamaria, Jimmy; Viana, Marcelo
24
2013
Continuity of Lyapunov exponents for random two-dimensional matrices. Zbl 1379.37100
Bocker-Neto, Carlos; Viana, Marcelo
24
2017
Absolute continuity, Lyapunov exponents and rigidity. I: Geodesic flows. Zbl 1352.37084
Avila, Artur; Viana, Marcelo; Wilkinson, Amie
24
2015
Solution of the basin problem for Hénon-like attractors. Zbl 0967.37023
Benedicks, Michael; Viana, Marcelo
23
2001
Strange attractors in saddle-node cycles: Prevalence and globality. Zbl 0865.58034
Díaz, L. J.; Rocha, J.; Viana, M.
21
1996
Geometric and measure-theoretical structures of maps with mostly contracting center. Zbl 1359.37061
Dolgopyat, Dmitry; Viana, Marcelo; Yang, Jiagang
20
2016
Lyapunov exponents: how frequently are dynamical systems hyperbolic? Zbl 1147.37315
Bochi, Jairo; Viana, Marcelo
19
2004
Strong stochastic stability and rate of mixing for unimodal maps. Zbl 0868.58051
Baladi, Viviane; Viana, Marcelo
18
1996
Dynamics: a probabilistic and geometric perspective. Zbl 0911.58013
Viana, Marcelo
18
1998
Thermodynamical formalism for robust classes of potentials and non-uniformly hyperbolic maps. Zbl 1154.37330
Oliveira, Krerley; Viana, Marcelo
17
2008
Random perturbations and statistical properties of Hénon-like maps. Zbl 1131.37033
Benedicks, Michael; Viana, Marcelo
16
2006
Simplicity of Lyapunov spectra: a sufficient criterion. Zbl 1137.37001
Avila, Artur; Viana, Marcelo
16
2007
Uniform (projective) hyperbolicity or no hyperbolicity: a dichotomy for generic conservative maps. Zbl 1125.37308
Bochi, Jairo; Viana, Marcelo
13
2002
Positive Lyapunov exponents for Lorenz-like families with criticalities. Zbl 0944.37025
Luzzatto, Stefano; Viana, Marcelo
13
2000
Lyapunov exponents of linear cocycles over Markov shifts. Zbl 1371.37052
Malheiro, Elaís C.; Viana, Marcelo
12
2015
Equilibrium states for hyperbolic potentials. Zbl 1361.37035
Ramos, Vanessa; Viana, Marcelo
11
2017
Hausdorff dimension for non-hyperbolic repellers. II: DA diffeomorphisms. Zbl 1097.37019
Horita, Vanderlei; Viana, Marcelo
10
2005
On the continuity of Hausdorff dimension and limit capacity for horseshoes. Zbl 0661.58023
Palis, J.; Viana, M.
10
1988
Abundance of stable ergodicity. Zbl 1052.37023
Bonatti, Christian; Matheus, Carlos; Viana, Marcelo; Wilkinson, Amie
9
2004
Existence and uniqueness of maximizing measures for robust classes of local diffeomorphisms. Zbl 1105.37021
Oliveira, Krerley; Viana, Marcelo
9
2006
Measure-theoretical properties of center foliations. Zbl 1384.37043
Viana, Marcelo; Yang, Jiagang
9
2017
Continuity of Lyapunov exponents in the \(C^0\) topology. Zbl 1421.37023
Viana, Marcelo; Yang, Jiagang
8
2019
Cocycles over partially hyperbolic maps. Zbl 1350.37004
Avila, Artur; Santamaria, Jimmy; Viana, Marcelo; Wilkinson, Amie
8
2013
Discontinuity of the Hausdorff dimension of hyperbolic sets. Zbl 0852.54038
Bonatti, Christian; Díaz, Lorenzo Justiniano; Viana, Marcelo
7
1995
Infinite-modal maps with global chaotic behavior. Zbl 0916.58029
Pacifico, M. J.; Rovella, A.; Viana, M.
6
1999
Invariant measures for interval maps with critical points and singularities. Zbl 1184.37032
Araújo, Vítor; Luzzatto, Stefano; Viana, Marcelo
6
2009
Homoclinic tangencies and fractal invariants in arbitrary dimension. Zbl 1192.37032
Moreira, Carlos Gustavo; Palis, Jacob; Viana, Marcelo
5
2001
Dynamical systems: moving into the next century. Zbl 1037.37500
Viana, Marcelo
5
2001
Exclusions of parameter values in Hénon-type systems. Zbl 1054.37019
Luzzatto, S.; Viana, M.
5
2003
Hausdorff dimension of non-hyperbolic repellers. I: Maps with holes. Zbl 0991.37012
Horita, Vanderlei; Viana, Marcelo
4
2001
Global attractors and bifurcations. Zbl 0849.58045
Viana, Marcelo
4
1996
(Dis)continuity of Lyapunov exponents. Zbl 1442.37048
Viana, Marcelo
4
2020
Moduli of continuity for the Lyapunov exponents of random \(\mathrm{GL}(2)\)-cocycles. Zbl 1437.37064
Tall, El Hadji Yaya; Viana, Marcelo
4
2020
Dynamics in the moduli space of Abelian differentials. Zbl 1087.14014
Avila, Artur; Viana, Marcelo
3
2005
Discontinuity of Hausdorff dimension and limit capacity on arcs of diffeomorphisms. Zbl 0668.58039
Diaz, Lorenzo J.; Viana, Marcelo
3
1989
Maximal entropy measures of diffeomorphisms of circle fiber bundles. Zbl 1478.37040
Ures, Raúl; Viana, Marcelo; Yang, Jiagang
2
2021
Stable accessibility with \(2\) dimensional center. Zbl 1472.37033
Avila, Artur; Viana, Marcelo
2
2020
Homoclinic bifurcations and persistence of nonuniformly hyperbolic attractors. Zbl 0844.58049
Viana, Marcelo
2
1995
Simple Lyapunov spectrum for certain linear cocycles over partially hyperbolic maps. Zbl 1500.37027
Poletti, Mauricio; Viana, Marcelo
2
2019
Cocycles over partially hyperbolic maps. Zbl 1417.37004
Avila, Artur; Santamaria, Jimmy; Viana, Marcelo; Wilkinson, Amie
2
2013
Lorenz attractors with arbitrary expanding dimension. Zbl 0976.37014
Bonatti, Ch.; Pumariño, A.; Viana, M.
2
2000
Lyapunov exponents of Teichmüller flows. Zbl 1148.37021
Viana, Marcelo
2
2007
The intermittency route to chaotic dynamics. Zbl 1198.37043
Díaz, Lorenzo J.; Rios, Isabel L.; Viana, Marcelo
1
2001
Pisa lectures on Lyapunov exponents. Zbl 1070.37014
Bochi, Jairo; Viana, Marcelo
1
2003
Proceedings of the international congress of mathematicians, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume II. Invited lectures. Zbl 1437.00044
1
2018
Lecture notes on attractors and physical measures. A paper from the 12th Escuela Latinoamericana de Matemáticas (XII-ELAM) held in Lima, Peru, June 28–July 3, 1999. Zbl 1160.37336
Viana, Marcelo
1
1999
Homoclinic bifurcations and strange attractors. Zbl 0831.58037
Viana, Marcelo
1
1995
Mathematics of energy and climate change. International conference and advanced school Planet Earth, Lisbon, Portugal, March 21–28, 2013. Zbl 1320.00045
1
2015
Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume III. Invited lectures. Zbl 1437.00045
1
2018
Maximal entropy measures of diffeomorphisms of circle fiber bundles. Zbl 1478.37040
Ures, Raúl; Viana, Marcelo; Yang, Jiagang
2
2021
(Dis)continuity of Lyapunov exponents. Zbl 1442.37048
Viana, Marcelo
4
2020
Moduli of continuity for the Lyapunov exponents of random \(\mathrm{GL}(2)\)-cocycles. Zbl 1437.37064
Tall, El Hadji Yaya; Viana, Marcelo
4
2020
Stable accessibility with \(2\) dimensional center. Zbl 1472.37033
Avila, Artur; Viana, Marcelo
2
2020
Continuity of Lyapunov exponents in the \(C^0\) topology. Zbl 1421.37023
Viana, Marcelo; Yang, Jiagang
8
2019
Simple Lyapunov spectrum for certain linear cocycles over partially hyperbolic maps. Zbl 1500.37027
Poletti, Mauricio; Viana, Marcelo
2
2019
Proceedings of the international congress of mathematicians, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume II. Invited lectures. Zbl 1437.00044
1
2018
Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume III. Invited lectures. Zbl 1437.00045
1
2018
Continuity of Lyapunov exponents for random two-dimensional matrices. Zbl 1379.37100
Bocker-Neto, Carlos; Viana, Marcelo
24
2017
Equilibrium states for hyperbolic potentials. Zbl 1361.37035
Ramos, Vanessa; Viana, Marcelo
11
2017
Measure-theoretical properties of center foliations. Zbl 1384.37043
Viana, Marcelo; Yang, Jiagang
9
2017
Foundations of ergodic theory. Zbl 1369.37001
Viana, Marcelo; Oliveira, Krerley
59
2016
Geometric and measure-theoretical structures of maps with mostly contracting center. Zbl 1359.37061
Dolgopyat, Dmitry; Viana, Marcelo; Yang, Jiagang
20
2016
Absolute continuity, Lyapunov exponents and rigidity. I: Geodesic flows. Zbl 1352.37084
Avila, Artur; Viana, Marcelo; Wilkinson, Amie
24
2015
Lyapunov exponents of linear cocycles over Markov shifts. Zbl 1371.37052
Malheiro, Elaís C.; Viana, Marcelo
12
2015
Mathematics of energy and climate change. International conference and advanced school Planet Earth, Lisbon, Portugal, March 21–28, 2013. Zbl 1320.00045
1
2015
Lectures on Lyapunov exponents. Zbl 1309.37001
Viana, Marcelo
78
2014
The entropy conjecture for diffeomorphisms away from tangencies. Zbl 1325.37031
Liao, Gang; Viana, Marcelo; Yang, Jiagang
32
2013
Physical measures and absolute continuity for one-dimensional center direction. Zbl 1417.37105
Viana, Marcelo; Yang, Jiagang
29
2013
Holonomy invariance: rough regularity and applications to Lyapunov exponents. Zbl 1348.37005
Avila, Artur; Santamaria, Jimmy; Viana, Marcelo
24
2013
Cocycles over partially hyperbolic maps. Zbl 1350.37004
Avila, Artur; Santamaria, Jimmy; Viana, Marcelo; Wilkinson, Amie
8
2013
Cocycles over partially hyperbolic maps. Zbl 1417.37004
Avila, Artur; Santamaria, Jimmy; Viana, Marcelo; Wilkinson, Amie
2
2013
Extremal Lyapunov exponents: an invariance principle and applications. Zbl 1196.37054
Avila, Artur; Viana, Marcelo
63
2010
Existence, uniqueness and stability of equilibrium states for non-uniformly expanding maps. Zbl 1193.37009
Varandas, Paulo; Viana, Marcelo
39
2010
Singular-hyperbolic attractors are chaotic. Zbl 1214.37010
Araujo, V.; Pacifico, M. J.; Pujals, E. R.; Viana, M.
62
2009
Invariant measures for interval maps with critical points and singularities. Zbl 1184.37032
Araújo, Vítor; Luzzatto, Stefano; Viana, Marcelo
6
2009
Almost all cocycles over any hyperbolic system have nonvanishing Lyapunov exponents. Zbl 1173.37019
Viana, Marcelo
47
2008
Thermodynamical formalism for robust classes of potentials and non-uniformly hyperbolic maps. Zbl 1154.37330
Oliveira, Krerley; Viana, Marcelo
17
2008
Simplicity of Lyapunov spectra: proof of the Zorich-Kontsevich conjecture. Zbl 1143.37001
Avila, Artur; Viana, Marcelo
58
2007
Simplicity of Lyapunov spectra: a sufficient criterion. Zbl 1137.37001
Avila, Artur; Viana, Marcelo
16
2007
Lyapunov exponents of Teichmüller flows. Zbl 1148.37021
Viana, Marcelo
2
2007
Ergodic theory of interval exchange maps. Zbl 1112.37003
Viana, Marcelo
60
2006
Random perturbations and statistical properties of Hénon-like maps. Zbl 1131.37033
Benedicks, Michael; Viana, Marcelo
16
2006
Existence and uniqueness of maximizing measures for robust classes of local diffeomorphisms. Zbl 1105.37021
Oliveira, Krerley; Viana, Marcelo
9
2006
Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective. Zbl 1060.37020
Bonatti, Christian; Díaz, Lorenzo J.; Viana, Marcelo
231
2005
The Lyapunov exponents of generic volume-preserving and symplectic maps. Zbl 1101.37039
Bochi, Jairo; Viana, Marcelo
77
2005
Hausdorff dimension for non-hyperbolic repellers. II: DA diffeomorphisms. Zbl 1097.37019
Horita, Vanderlei; Viana, Marcelo
10
2005
Dynamics in the moduli space of Abelian differentials. Zbl 1087.14014
Avila, Artur; Viana, Marcelo
3
2005
Lyapunov exponents with multiplicity 1 for deterministic products of matrices. Zbl 1087.37017
Bonatti, C.; Viana, M.
31
2004
Lyapunov exponents: how frequently are dynamical systems hyperbolic? Zbl 1147.37315
Bochi, Jairo; Viana, Marcelo
19
2004
Abundance of stable ergodicity. Zbl 1052.37023
Bonatti, Christian; Matheus, Carlos; Viana, Marcelo; Wilkinson, Amie
9
2004
Généricité d’exposants de Lyapunov non-nuls pour des produits déterministes de matrices. (Genericity of non-zero Lyapunov exponents for deterministic products of matrices). Zbl 1025.37018
Bonatti, Christian; Gómez-Mont, Xavier; Viana, Marcelo
45
2003
Exclusions of parameter values in Hénon-type systems. Zbl 1054.37019
Luzzatto, S.; Viana, M.
5
2003
Pisa lectures on Lyapunov exponents. Zbl 1070.37014
Bochi, Jairo; Viana, Marcelo
1
2003
Statistical stability for robust classes of maps with non-uniform expansion. Zbl 1067.37034
Alves, José F.; Viana, Marcelo
38
2002
Uniform (projective) hyperbolicity or no hyperbolicity: a dichotomy for generic conservative maps. Zbl 1125.37308
Bochi, Jairo; Viana, Marcelo
13
2002
Solution of the basin problem for Hénon-like attractors. Zbl 0967.37023
Benedicks, Michael; Viana, Marcelo
23
2001
Homoclinic tangencies and fractal invariants in arbitrary dimension. Zbl 1192.37032
Moreira, Carlos Gustavo; Palis, Jacob; Viana, Marcelo
5
2001
Dynamical systems: moving into the next century. Zbl 1037.37500
Viana, Marcelo
5
2001
Hausdorff dimension of non-hyperbolic repellers. I: Maps with holes. Zbl 0991.37012
Horita, Vanderlei; Viana, Marcelo
4
2001
The intermittency route to chaotic dynamics. Zbl 1198.37043
Díaz, Lorenzo J.; Rios, Isabel L.; Viana, Marcelo
1
2001
SRB measures for partially hyperbolic systems whose central direction is mostly expanding. Zbl 0962.37012
Alves, José F.; Bonatti, Christian; Viana, Marcelo
156
2000
SRB measures for partially hyperbolic systems whose central direction is mostly contracting. Zbl 0996.37033
Bonatti, Christian; Viana, Marcelo
121
2000
What’s new on Lorenz strange attractors? Zbl 1052.37026
Viana, Marcelo
45
2000
Positive Lyapunov exponents for Lorenz-like families with criticalities. Zbl 0944.37025
Luzzatto, Stefano; Viana, Marcelo
13
2000
Lorenz attractors with arbitrary expanding dimension. Zbl 0976.37014
Bonatti, Ch.; Pumariño, A.; Viana, M.
2
2000
Infinite-modal maps with global chaotic behavior. Zbl 0916.58029
Pacifico, M. J.; Rovella, A.; Viana, M.
6
1999
Lecture notes on attractors and physical measures. A paper from the 12th Escuela Latinoamericana de Matemáticas (XII-ELAM) held in Lima, Peru, June 28–July 3, 1999. Zbl 1160.37336
Viana, Marcelo
1
1999
Dynamics: a probabilistic and geometric perspective. Zbl 0911.58013
Viana, Marcelo
18
1998
Multidimensional nonhyperbolic attractors. Zbl 1037.37016
Viana, Marcelo
52
1997
Lorenz attractors with arbitrary expanding dimension. Zbl 0896.58043
Bonatti, Christian; Pumariño, António; Viana, Marcelo
27
1997
Strange attractors in saddle-node cycles: Prevalence and globality. Zbl 0865.58034
Díaz, L. J.; Rocha, J.; Viana, M.
21
1996
Strong stochastic stability and rate of mixing for unimodal maps. Zbl 0868.58051
Baladi, Viviane; Viana, Marcelo
18
1996
Global attractors and bifurcations. Zbl 0849.58045
Viana, Marcelo
4
1996
Discontinuity of the Hausdorff dimension of hyperbolic sets. Zbl 0852.54038
Bonatti, Christian; Díaz, Lorenzo Justiniano; Viana, Marcelo
7
1995
Homoclinic bifurcations and persistence of nonuniformly hyperbolic attractors. Zbl 0844.58049
Viana, Marcelo
2
1995
Homoclinic bifurcations and strange attractors. Zbl 0831.58037
Viana, Marcelo
1
1995
High dimension diffeomorphisms displaying infinitely many periodic attractors. Zbl 0817.58004
Palis, J.; Viana, M.
63
1994
Abundance of strange attractors. Zbl 0815.58016
Mora, Leonardo; Viana, Marcelo
133
1993
Strange attractors in higher dimensions. Zbl 0784.58044
Viana, Marcelo
24
1993
Discontinuity of Hausdorff dimension and limit capacity on arcs of diffeomorphisms. Zbl 0668.58039
Diaz, Lorenzo J.; Viana, Marcelo
3
1989
On the continuity of Hausdorff dimension and limit capacity for horseshoes. Zbl 0661.58023
Palis, J.; Viana, M.
10
1988
all top 5

Cited by 917 Authors

27 Alves, José Ferreira
27 Viana, Marcelo
26 Araújo, Vítor
26 Varandas, Paulo
25 Bonatti, Christian
24 Díaz, Lorenzo Justiniano
23 Yang, Jiagang
21 Luzzatto, Stefano
20 Avila, Artur
18 Bessa, Mário
18 Morales, Carlos Arnoldo
17 Cao, Yongluo
17 Crovisier, Sylvain
17 Gonchenko, Sergey V.
17 Yang, Dawei
15 Gelfert, Katrin Grit
15 Melbourne, Ian
15 Potrie, Rafael
14 Backes, Lucas H.
14 Bochi, Jairo
14 Pacifico, Maria José
14 Turaev, Dmitry V.
13 Tahzibi, Ali
12 Galatolo, Stefano
11 Gorodetskii, Anton Semenovich
10 Barrientos, Pablo G.
10 Climenhaga, Vaughn
10 Pesin, Yakov Borisovich
10 Pinheiro, Vilton
10 Pujals, Enrique Ramiro
10 Rodrigues, Alexandre A. P.
10 Rodriguez-Hertz, Federico
10 Ures, Raúl
9 Duarte, Pedro
9 Gan, Shaobo
9 Matheus, Carlos
9 Oliveira, Krerley
9 Poletti, Mauricio
8 Dolgopyat, Dmitry
8 Fisher, Todd L.
8 Homburg, Ale Jan
8 Rodriguez Hertz, Jana
8 Rodríguez, José Angel
8 Shinohara, Katsutoshi
8 Tian, Xueting
8 Vaienti, Sandro
8 Wang, Qiudong
8 Yoccoz, Jean-Christophe
8 Young, Lai-Sang
8 Zhang, Jinhua
8 Zhu, Yujun
7 Arbieto, Alexander
7 Carrasco, Pablo D.
7 Castro, Armando
7 Dragičević, Davor
7 Forni, Giovanni
7 Freitas, Jorge Milhazes
7 Gogolev, Andrey
7 Ibáñez, Santiago
7 Kiriki, Shin
7 Krauskopf, Bernd
7 Lopes, Artur Oscar
7 Osinga, Hinke Maria
7 Rams, Michał
6 Alvarez, Sébastien
6 Barreira, Luis Manuel
6 Bautista, Serafín
6 Berger, Pierre
6 Catsigeras, Eleonora
6 González-Tokman, Cecilia
6 Hu, Huyi
6 Kazakov, Alexey O.
6 Klein, Silvius
6 Liao, Gang
6 Mi, Zeya
6 Pérez, Sebastian A.
6 Pumariño, Antonio
6 Sadovskaya, Victoria
6 Salgado, Luciana
6 Sambarino, Martín
6 Shi, Yi
6 Shilnikov, Leonid Pavlovich
6 Sun, Wenxiang
6 Takahasi, Hiroki
6 Vásquez, Carlos H.
6 Wilkinson, Amie
6 Xu, Disheng
5 Andersson, Martin
5 Asaoka, Masayuki
5 Blumenthal, Alex
5 Brown, Aaron W.
5 Chaika, Jonathan
5 Da Luz, Adriana
5 Fakhari, Abbas
5 Frączek, Krzysztof Marek
5 Ghane, Fatemeh Helen
5 Gonchenko, Aleksandr Sergeevich
5 Hammerlindl, Andy
5 Kanigowski, Adam
5 Kleptsyn, Victor A.
...and 817 more Authors
all top 5

Cited in 186 Serials

135 Ergodic Theory and Dynamical Systems
59 Discrete and Continuous Dynamical Systems
53 Communications in Mathematical Physics
41 Journal of Differential Equations
37 Transactions of the American Mathematical Society
35 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
34 Journal of Statistical Physics
34 Dynamical Systems
30 Nonlinearity
26 Israel Journal of Mathematics
25 Advances in Mathematics
25 Mathematische Zeitschrift
22 Proceedings of the American Mathematical Society
19 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
19 Journal of Modern Dynamics
18 Chaos, Solitons and Fractals
18 Inventiones Mathematicae
17 Journal of Dynamics and Differential Equations
17 Journal of the European Mathematical Society (JEMS)
15 Chaos
15 Bulletin of the Brazilian Mathematical Society. New Series
14 Physica D
14 Stochastics and Dynamics
13 Qualitative Theory of Dynamical Systems
11 Annales de l’Institut Fourier
9 Regular and Chaotic Dynamics
8 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
8 Publications Mathématiques
8 Acta Mathematica Sinica. English Series
8 Proceedings of the Steklov Institute of Mathematics
7 Journal of Economic Dynamics & Control
7 Annals of Mathematics. Second Series
7 Annales Henri Poincaré
6 Duke Mathematical Journal
6 Geometric and Functional Analysis. GAFA
6 Discrete and Continuous Dynamical Systems. Series B
6 Portugaliae Mathematica. Nova Série
5 Journal of Mathematical Analysis and Applications
5 Acta Mathematica
5 Functional Analysis and its Applications
5 Geometriae Dedicata
5 Monatshefte für Mathematik
5 Boletim da Sociedade Brasileira de Matemática. Nova Série
5 Experimental Mathematics
5 SIAM Journal on Applied Dynamical Systems
4 Journal of Computational Physics
4 Mathematische Annalen
4 Proceedings of the London Mathematical Society. Third Series
4 Topology and its Applications
4 Journal of the American Mathematical Society
4 Bulletin of the American Mathematical Society. New Series
4 Communications in Nonlinear Science and Numerical Simulation
4 Journal of Dynamical and Control Systems
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Journal of the Institute of Mathematics of Jussieu
4 Science China. Mathematics
4 Journal de l’École Polytechnique – Mathématiques
3 Communications on Pure and Applied Mathematics
3 Journal of Mathematical Physics
3 Commentarii Mathematici Helvetici
3 Journal of Functional Analysis
3 Journal of the Korean Mathematical Society
3 Topological Methods in Nonlinear Analysis
3 Journal of Difference Equations and Applications
3 Doklady Mathematics
3 Nonlinear Dynamics
3 Geometry & Topology
3 Discrete Dynamics in Nature and Society
3 Differential Equations
3 Discrete and Continuous Dynamical Systems. Series S
2 Computers & Mathematics with Applications
2 Journal d’Analyse Mathématique
2 Letters in Mathematical Physics
2 Applied Mathematics and Computation
2 Bulletin de la Société Mathématique de France
2 Compositio Mathematica
2 Memoirs of the American Mathematical Society
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Tokyo Journal of Mathematics
2 Transactions of the Moscow Mathematical Society
2 Advances in Applied Mathematics
2 Chinese Annals of Mathematics. Series B
2 Applied Mathematics Letters
2 Indagationes Mathematicae. New Series
2 Communications in Contemporary Mathematics
2 Foundations of Computational Mathematics
2 Journal of Dynamical Systems and Geometric Theories
2 Groups, Geometry, and Dynamics
2 Journal of Computational Dynamics
1 Advances in Applied Probability
1 Applicable Analysis
1 Journal of the Franklin Institute
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Physics Reports
1 Mathematics of Computation
1 The Mathematical Intelligencer
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Collectanea Mathematica
1 Dissertationes Mathematicae
1 Fundamenta Mathematicae
...and 86 more Serials
all top 5

Cited in 50 Fields

1,041 Dynamical systems and ergodic theory (37-XX)
82 Ordinary differential equations (34-XX)
56 Probability theory and stochastic processes (60-XX)
52 Measure and integration (28-XX)
35 Manifolds and cell complexes (57-XX)
31 Several complex variables and analytic spaces (32-XX)
26 Statistical mechanics, structure of matter (82-XX)
22 Functions of a complex variable (30-XX)
22 Differential geometry (53-XX)
18 Number theory (11-XX)
16 Operator theory (47-XX)
15 Numerical analysis (65-XX)
14 Partial differential equations (35-XX)
14 Difference and functional equations (39-XX)
12 General topology (54-XX)
12 Biology and other natural sciences (92-XX)
11 Global analysis, analysis on manifolds (58-XX)
11 Mechanics of particles and systems (70-XX)
11 Systems theory; control (93-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
10 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
8 Algebraic geometry (14-XX)
8 Group theory and generalizations (20-XX)
8 Topological groups, Lie groups (22-XX)
8 Fluid mechanics (76-XX)
8 Quantum theory (81-XX)
6 Geophysics (86-XX)
5 Statistics (62-XX)
4 Mathematical logic and foundations (03-XX)
4 Functional analysis (46-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
4 Computer science (68-XX)
4 Information and communication theory, circuits (94-XX)
3 History and biography (01-XX)
3 Real functions (26-XX)
3 Convex and discrete geometry (52-XX)
3 Optics, electromagnetic theory (78-XX)
2 Combinatorics (05-XX)
2 Algebraic topology (55-XX)
2 Mechanics of deformable solids (74-XX)
2 Classical thermodynamics, heat transfer (80-XX)
1 General and overarching topics; collections (00-XX)
1 General algebraic systems (08-XX)
1 Commutative algebra (13-XX)
1 Potential theory (31-XX)
1 Approximations and expansions (41-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral transforms, operational calculus (44-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year

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