×
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

74 Publications have been cited 2,374 times in 1,326 Documents Cited by Year
Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective. Zbl 1060.37020
Bonatti, Christian; Díaz, Lorenzo J.; Viana, Marcelo
274
2005
SRB measures for partially hyperbolic systems whose central direction is mostly expanding. Zbl 0962.37012
Alves, José F.; Bonatti, Christian; Viana, Marcelo
175
2000
SRB measures for partially hyperbolic systems whose central direction is mostly contracting. Zbl 0996.37033
Bonatti, Christian; Viana, Marcelo
141
2000
Abundance of strange attractors. Zbl 0815.58016
Mora, Leonardo; Viana, Marcelo
140
1993
Lectures on Lyapunov exponents. Zbl 1309.37001
Viana, Marcelo
113
2014
Foundations of ergodic theory. Zbl 1369.37001
Viana, Marcelo; Oliveira, Krerley
105
2016
The Lyapunov exponents of generic volume-preserving and symplectic maps. Zbl 1101.37039
Bochi, Jairo; Viana, Marcelo
86
2005
Extremal Lyapunov exponents: an invariance principle and applications. Zbl 1196.37054
Avila, Artur; Viana, Marcelo
82
2010
Singular-hyperbolic attractors are chaotic. Zbl 1214.37010
Araujo, V.; Pacifico, M. J.; Pujals, E. R.; Viana, M.
70
2009
High dimension diffeomorphisms displaying infinitely many periodic attractors. Zbl 0817.58004
Palis, J.; Viana, M.
69
1994
Ergodic theory of interval exchange maps. Zbl 1112.37003
Viana, Marcelo
69
2006
Simplicity of Lyapunov spectra: proof of the Zorich-Kontsevich conjecture. Zbl 1143.37001
Avila, Artur; Viana, Marcelo
61
2007
Multidimensional nonhyperbolic attractors. Zbl 1037.37016
Viana, Marcelo
59
1997
Almost all cocycles over any hyperbolic system have nonvanishing Lyapunov exponents. Zbl 1173.37019
Viana, Marcelo
54
2008
What’s new on Lorenz strange attractors? Zbl 1052.37026
Viana, Marcelo
50
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
50
2003
Existence, uniqueness and stability of equilibrium states for non-uniformly expanding maps. Zbl 1193.37009
Varandas, Paulo; Viana, Marcelo
45
2010
Statistical stability for robust classes of maps with non-uniform expansion. Zbl 1067.37034
Alves, José F.; Viana, Marcelo
45
2002
Lyapunov exponents with multiplicity 1 for deterministic products of matrices. Zbl 1087.37017
Bonatti, C.; Viana, M.
41
2004
The entropy conjecture for diffeomorphisms away from tangencies. Zbl 1325.37031
Liao, Gang; Viana, Marcelo; Yang, Jiagang
39
2013
Lorenz attractors with arbitrary expanding dimension. Zbl 0896.58043
Bonatti, Christian; Pumariño, António; Viana, Marcelo
34
1997
Physical measures and absolute continuity for one-dimensional center direction. Zbl 1417.37105
Viana, Marcelo; Yang, Jiagang
32
2013
Holonomy invariance: rough regularity and applications to Lyapunov exponents. Zbl 1348.37005
Avila, Artur; Santamaria, Jimmy; Viana, Marcelo
31
2013
Absolute continuity, Lyapunov exponents and rigidity. I: Geodesic flows. Zbl 1352.37084
Avila, Artur; Viana, Marcelo; Wilkinson, Amie
30
2015
Continuity of Lyapunov exponents for random two-dimensional matrices. Zbl 1379.37100
Bocker-Neto, Carlos; Viana, Marcelo
29
2017
Solution of the basin problem for Hénon-like attractors. Zbl 0967.37023
Benedicks, Michael; Viana, Marcelo
27
2001
Strong stochastic stability and rate of mixing for unimodal maps. Zbl 0868.58051
Baladi, Viviane; Viana, Marcelo
27
1996
Strange attractors in higher dimensions. Zbl 0784.58044
Viana, Marcelo
24
1993
Geometric and measure-theoretical structures of maps with mostly contracting center. Zbl 1359.37061
Dolgopyat, Dmitry; Viana, Marcelo; Yang, Jiagang
24
2016
Lyapunov exponents: how frequently are dynamical systems hyperbolic? Zbl 1147.37315
Bochi, Jairo; Viana, Marcelo
22
2004
Simplicity of Lyapunov spectra: a sufficient criterion. Zbl 1137.37001
Avila, Artur; Viana, Marcelo
21
2007
Thermodynamical formalism for robust classes of potentials and non-uniformly hyperbolic maps. Zbl 1154.37330
Oliveira, Krerley; Viana, Marcelo
21
2008
Strange attractors in saddle-node cycles: Prevalence and globality. Zbl 0865.58034
Díaz, L. J.; Rocha, J.; Viana, M.
21
1996
Random perturbations and statistical properties of Hénon-like maps. Zbl 1131.37033
Benedicks, Michael; Viana, Marcelo
19
2006
Dynamics: a probabilistic and geometric perspective. Zbl 0911.58013
Viana, Marcelo
18
1998
On the continuity of Hausdorff dimension and limit capacity for horseshoes. Zbl 0661.58023
Palis, J.; Viana, M.
16
1988
Measure-theoretical properties of center foliations. Zbl 1384.37043
Viana, Marcelo; Yang, Jiagang
14
2017
Uniform (projective) hyperbolicity or no hyperbolicity: a dichotomy for generic conservative maps. Zbl 1125.37308
Bochi, Jairo; Viana, Marcelo
14
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
13
2015
Equilibrium states for hyperbolic potentials. Zbl 1361.37035
Ramos, Vanessa; Viana, Marcelo
12
2017
Hausdorff dimension for non-hyperbolic repellers. II: DA diffeomorphisms. Zbl 1097.37019
Horita, Vanderlei; Viana, Marcelo
11
2005
Continuity of Lyapunov exponents in the \(C^0\) topology. Zbl 1421.37023
Viana, Marcelo; Yang, Jiagang
10
2019
Discontinuity of the Hausdorff dimension of hyperbolic sets. Zbl 0852.54038
Bonatti, Christian; Díaz, Lorenzo Justiniano; Viana, Marcelo
9
1995
Existence and uniqueness of maximizing measures for robust classes of local diffeomorphisms. Zbl 1105.37021
Oliveira, Krerley; Viana, Marcelo
9
2006
Abundance of stable ergodicity. Zbl 1052.37023
Bonatti, Christian; Matheus, Carlos; Viana, Marcelo; Wilkinson, Amie
8
2004
Cocycles over partially hyperbolic maps. Zbl 1350.37004
Avila, Artur; Santamaria, Jimmy; Viana, Marcelo; Wilkinson, Amie
8
2013
Invariant measures for interval maps with critical points and singularities. Zbl 1184.37032
Araújo, Vítor; Luzzatto, Stefano; Viana, Marcelo
7
2009
(Dis)continuity of Lyapunov exponents. Zbl 1442.37048
Viana, Marcelo
7
2020
Infinite-modal maps with global chaotic behavior. Zbl 0916.58029
Pacifico, M. J.; Rovella, A.; Viana, M.
6
1999
Homoclinic tangencies and fractal invariants in arbitrary dimension. Zbl 1192.37032
Moreira, Carlos Gustavo; Palis, Jacob; Viana, Marcelo
6
2001
Moduli of continuity for the Lyapunov exponents of random \(\mathrm{GL}(2)\)-cocycles. Zbl 1437.37064
Tall, El Hadji Yaya; Viana, Marcelo
6
2020
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
Absolute continuity, Lyapunov exponents, and rigidity. II: Systems with compact center leaves. Zbl 1493.37022
Avila, A.; Viana, Marcelo; Wilkinson, A.
5
2022
Global attractors and bifurcations. Zbl 0849.58045
Viana, Marcelo
4
1996
Hausdorff dimension of non-hyperbolic repellers. I: Maps with holes. Zbl 0991.37012
Horita, Vanderlei; Viana, Marcelo
4
2001
Maximal entropy measures of diffeomorphisms of circle fiber bundles. Zbl 1478.37040
Ures, Raúl; Viana, Marcelo; Yang, Jiagang
4
2021
Simple Lyapunov spectrum for certain linear cocycles over partially hyperbolic maps. Zbl 1500.37027
Poletti, Mauricio; Viana, Marcelo
4
2019
Discontinuity of Hausdorff dimension and limit capacity on arcs of diffeomorphisms. Zbl 0668.58039
Diaz, Lorenzo J.; Viana, Marcelo
3
1989
Dynamics in the moduli space of Abelian differentials. Zbl 1087.14014
Avila, Artur; Viana, Marcelo
3
2005
Lyapunov exponents of Teichmüller flows. Zbl 1148.37021
Viana, Marcelo
2
2007
Homoclinic bifurcations and persistence of nonuniformly hyperbolic attractors. Zbl 0844.58049
Viana, Marcelo
2
1995
Lorenz attractors with arbitrary expanding dimension. Zbl 0976.37014
Bonatti, Ch.; Pumariño, A.; Viana, M.
2
2000
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
2
1999
Cocycles over partially hyperbolic maps. Zbl 1417.37004
Avila, Artur; Santamaria, Jimmy; Viana, Marcelo; Wilkinson, Amie
2
2013
Stable accessibility with \(2\) dimensional center. Zbl 1472.37033
Avila, Artur; Viana, Marcelo
2
2020
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
2
2018
Homoclinic bifurcations and strange attractors. Zbl 0831.58037
Viana, Marcelo
1
1995
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
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, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume II. Invited lectures. Zbl 1437.00044
1
2018
Partially volume expanding diffeomorphisms. Zbl 1461.37035
Gan, Shaobo; Li, Ming; Viana, Marcelo; Yang, Jiagang
1
2021
Absolute continuity, Lyapunov exponents, and rigidity. II: Systems with compact center leaves. Zbl 1493.37022
Avila, A.; Viana, Marcelo; Wilkinson, A.
5
2022
Maximal entropy measures of diffeomorphisms of circle fiber bundles. Zbl 1478.37040
Ures, Raúl; Viana, Marcelo; Yang, Jiagang
4
2021
Partially volume expanding diffeomorphisms. Zbl 1461.37035
Gan, Shaobo; Li, Ming; Viana, Marcelo; Yang, Jiagang
1
2021
(Dis)continuity of Lyapunov exponents. Zbl 1442.37048
Viana, Marcelo
7
2020
Moduli of continuity for the Lyapunov exponents of random \(\mathrm{GL}(2)\)-cocycles. Zbl 1437.37064
Tall, El Hadji Yaya; Viana, Marcelo
6
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
10
2019
Simple Lyapunov spectrum for certain linear cocycles over partially hyperbolic maps. Zbl 1500.37027
Poletti, Mauricio; Viana, Marcelo
4
2019
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
2
2018
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
Continuity of Lyapunov exponents for random two-dimensional matrices. Zbl 1379.37100
Bocker-Neto, Carlos; Viana, Marcelo
29
2017
Measure-theoretical properties of center foliations. Zbl 1384.37043
Viana, Marcelo; Yang, Jiagang
14
2017
Equilibrium states for hyperbolic potentials. Zbl 1361.37035
Ramos, Vanessa; Viana, Marcelo
12
2017
Foundations of ergodic theory. Zbl 1369.37001
Viana, Marcelo; Oliveira, Krerley
105
2016
Geometric and measure-theoretical structures of maps with mostly contracting center. Zbl 1359.37061
Dolgopyat, Dmitry; Viana, Marcelo; Yang, Jiagang
24
2016
Absolute continuity, Lyapunov exponents and rigidity. I: Geodesic flows. Zbl 1352.37084
Avila, Artur; Viana, Marcelo; Wilkinson, Amie
30
2015
Lyapunov exponents of linear cocycles over Markov shifts. Zbl 1371.37052
Malheiro, Elaís C.; Viana, Marcelo
13
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
113
2014
The entropy conjecture for diffeomorphisms away from tangencies. Zbl 1325.37031
Liao, Gang; Viana, Marcelo; Yang, Jiagang
39
2013
Physical measures and absolute continuity for one-dimensional center direction. Zbl 1417.37105
Viana, Marcelo; Yang, Jiagang
32
2013
Holonomy invariance: rough regularity and applications to Lyapunov exponents. Zbl 1348.37005
Avila, Artur; Santamaria, Jimmy; Viana, Marcelo
31
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
82
2010
Existence, uniqueness and stability of equilibrium states for non-uniformly expanding maps. Zbl 1193.37009
Varandas, Paulo; Viana, Marcelo
45
2010
Singular-hyperbolic attractors are chaotic. Zbl 1214.37010
Araujo, V.; Pacifico, M. J.; Pujals, E. R.; Viana, M.
70
2009
Invariant measures for interval maps with critical points and singularities. Zbl 1184.37032
Araújo, Vítor; Luzzatto, Stefano; Viana, Marcelo
7
2009
Almost all cocycles over any hyperbolic system have nonvanishing Lyapunov exponents. Zbl 1173.37019
Viana, Marcelo
54
2008
Thermodynamical formalism for robust classes of potentials and non-uniformly hyperbolic maps. Zbl 1154.37330
Oliveira, Krerley; Viana, Marcelo
21
2008
Simplicity of Lyapunov spectra: proof of the Zorich-Kontsevich conjecture. Zbl 1143.37001
Avila, Artur; Viana, Marcelo
61
2007
Simplicity of Lyapunov spectra: a sufficient criterion. Zbl 1137.37001
Avila, Artur; Viana, Marcelo
21
2007
Lyapunov exponents of Teichmüller flows. Zbl 1148.37021
Viana, Marcelo
2
2007
Ergodic theory of interval exchange maps. Zbl 1112.37003
Viana, Marcelo
69
2006
Random perturbations and statistical properties of Hénon-like maps. Zbl 1131.37033
Benedicks, Michael; Viana, Marcelo
19
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
274
2005
The Lyapunov exponents of generic volume-preserving and symplectic maps. Zbl 1101.37039
Bochi, Jairo; Viana, Marcelo
86
2005
Hausdorff dimension for non-hyperbolic repellers. II: DA diffeomorphisms. Zbl 1097.37019
Horita, Vanderlei; Viana, Marcelo
11
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.
41
2004
Lyapunov exponents: how frequently are dynamical systems hyperbolic? Zbl 1147.37315
Bochi, Jairo; Viana, Marcelo
22
2004
Abundance of stable ergodicity. Zbl 1052.37023
Bonatti, Christian; Matheus, Carlos; Viana, Marcelo; Wilkinson, Amie
8
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
50
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
45
2002
Uniform (projective) hyperbolicity or no hyperbolicity: a dichotomy for generic conservative maps. Zbl 1125.37308
Bochi, Jairo; Viana, Marcelo
14
2002
Solution of the basin problem for Hénon-like attractors. Zbl 0967.37023
Benedicks, Michael; Viana, Marcelo
27
2001
Homoclinic tangencies and fractal invariants in arbitrary dimension. Zbl 1192.37032
Moreira, Carlos Gustavo; Palis, Jacob; Viana, Marcelo
6
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
175
2000
SRB measures for partially hyperbolic systems whose central direction is mostly contracting. Zbl 0996.37033
Bonatti, Christian; Viana, Marcelo
141
2000
What’s new on Lorenz strange attractors? Zbl 1052.37026
Viana, Marcelo
50
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
2
1999
Dynamics: a probabilistic and geometric perspective. Zbl 0911.58013
Viana, Marcelo
18
1998
Multidimensional nonhyperbolic attractors. Zbl 1037.37016
Viana, Marcelo
59
1997
Lorenz attractors with arbitrary expanding dimension. Zbl 0896.58043
Bonatti, Christian; Pumariño, António; Viana, Marcelo
34
1997
Strong stochastic stability and rate of mixing for unimodal maps. Zbl 0868.58051
Baladi, Viviane; Viana, Marcelo
27
1996
Strange attractors in saddle-node cycles: Prevalence and globality. Zbl 0865.58034
Díaz, L. J.; Rocha, J.; Viana, M.
21
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
9
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.
69
1994
Abundance of strange attractors. Zbl 0815.58016
Mora, Leonardo; Viana, Marcelo
140
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.
16
1988
all top 5

Cited by 1,104 Authors

30 Araújo, Vítor
30 Viana, Marcelo
28 Varandas, Paulo
27 Alves, José Ferreira
27 Yang, Jiagang
26 Bonatti, Christian
26 Díaz, Lorenzo Justiniano
24 Avila, Artur
23 Bessa, Mário
21 Luzzatto, Stefano
21 Morales Rojas, Carlos Arnoldo
20 Cao, Yongluo
20 Crovisier, Sylvain
20 Potrie, Rafael
20 Yang, Dawei
18 Gelfert, Katrin Grit
18 Gonchenko, Sergey V.
15 Bochi, Jairo
15 Melbourne, Ian
15 Pacifico, Maria José
15 Tahzibi, Ali
14 Backes, Lucas H.
14 Galatolo, Stefano
14 Turaev, Dmitry V.
13 Barrientos, Pablo G.
12 Duarte, Pedro
12 Pujals, Enrique Ramiro
12 Ures, Raúl
11 Gorodetskii, Anton Semenovich
11 Rodrigues, Alexandre A. P.
11 Rodríguez, José Angel
11 Vaienti, Sandro
10 Climenhaga, Vaughn
10 Gan, Shaobo
10 Oliveira, Krerley
10 Pesin, Yakov Borisovich
10 Pinheiro, Vilton
10 Rodriguez-Hertz, Federico
10 Tian, Xueting
9 Barreira, Luis Manuel
9 Blumenthal, Alex
9 Fisher, Todd L.
9 Gogolev, Andrey
9 Krauskopf, Bernd
9 Matheus, Carlos
9 Osinga, Hinke Maria
9 Poletti, Mauricio
9 Rodriguez Hertz, Jana
9 Sadovskaya, Victoria
9 Zhang, Jinhua
8 Arbieto, Alexander
8 Dolgopyat, Dmitry
8 Forni, Giovanni
8 Homburg, Ale Jan
8 Kiriki, Shin
8 Klein, Silvius
8 Nakano, Yushi
8 Pumariño, Antonio
8 Shinohara, Katsutoshi
8 Wang, Qiudong
8 Yoccoz, Jean-Christophe
8 Young, Lai-Sang
8 Zhu, Yujun
7 Carrasco, Pablo D.
7 Castro, Armando
7 Dragičević, Davor
7 Freitas, Jorge Milhazes
7 Ibáñez, Santiago
7 Lopes, Artur Oscar
7 Mi, Zeya
7 Rams, Michał
7 Shi, Yi
7 Soma, Teruhiko
7 Takahasi, Hiroki
7 Wilkinson, Amie
6 Alvarez, Sébastien
6 Berger, Pierre
6 Buzzi, Jérôme
6 Catsigeras, Eleonora
6 Fakhari, Abbas
6 González-Tokman, Cecilia
6 Hu, Huyi
6 Kalinin, Boris
6 Kanigowski, Adam
6 Kazakov, Alexey O.
6 Liao, Gang
6 Park, Kiho
6 Pérez, Sebastian A.
6 Raibekas, Artem
6 Salgado, Luciana
6 Sambarino, Martín
6 San Martín Rebolledo, Bernardo
6 Shilnikov, Leonid Pavlovich
6 Sun, Wenxiang
6 Valls Anglés, Cláudia
6 Vásquez, Carlos H.
6 Vigil, Enrique
6 Vilarinho, Helder
6 Xu, Disheng
6 Yang, Fan
...and 1,004 more Authors
all top 5

Cited in 217 Serials

155 Ergodic Theory and Dynamical Systems
72 Discrete and Continuous Dynamical Systems
62 Communications in Mathematical Physics
56 Nonlinearity
47 Journal of Differential Equations
40 Journal of Statistical Physics
40 Transactions of the American Mathematical Society
40 Dynamical Systems
36 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
29 Israel Journal of Mathematics
28 Advances in Mathematics
26 Mathematische Zeitschrift
23 Journal of Dynamics and Differential Equations
22 Proceedings of the American Mathematical Society
21 Journal of Modern Dynamics
20 Inventiones Mathematicae
20 Journal of the European Mathematical Society (JEMS)
19 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
19 Stochastics and Dynamics
18 Chaos, Solitons and Fractals
17 Bulletin of the Brazilian Mathematical Society. New Series
15 Physica D
15 Chaos
14 Qualitative Theory of Dynamical Systems
13 Regular and Chaotic Dynamics
11 Annales de l’Institut Fourier
9 Publications Mathématiques
8 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
8 Geometric and Functional Analysis. GAFA
8 Annals of Mathematics. Second Series
8 Acta Mathematica Sinica. English Series
8 Proceedings of the Steklov Institute of Mathematics
7 Proceedings of the London Mathematical Society. Third Series
7 Journal of Economic Dynamics & Control
7 Journal of Dynamical and Control Systems
7 Annales Henri Poincaré
7 SIAM Journal on Applied Dynamical Systems
6 Journal of Mathematical Analysis and Applications
6 Duke Mathematical Journal
6 Geometriae Dedicata
6 Journal of the London Mathematical Society. Second Series
6 Monatshefte für Mathematik
6 Discrete and Continuous Dynamical Systems. Series B
6 Portugaliae Mathematica. Nova Série
6 Journal of the Institute of Mathematics of Jussieu
5 Acta Mathematica
5 Bulletin de la Société Mathématique de France
5 Functional Analysis and its Applications
5 Mathematische Annalen
5 Topology and its Applications
5 Boletim da Sociedade Brasileira de Matemática. Nova Série
5 Experimental Mathematics
4 Journal of Computational Physics
4 Journal of Mathematical Physics
4 Commentarii Mathematici Helvetici
4 Journal of Functional Analysis
4 Journal of the Korean Mathematical Society
4 Memoirs of the American Mathematical Society
4 Journal of the American Mathematical Society
4 Bulletin of the American Mathematical Society. New Series
4 Journal of Difference Equations and Applications
4 Nonlinear Dynamics
4 Geometry & Topology
4 Communications in Nonlinear Science and Numerical Simulation
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Science China. Mathematics
4 Journal de l’École Polytechnique – Mathématiques
3 Communications on Pure and Applied Mathematics
3 Journal für die Reine und Angewandte Mathematik
3 Topological Methods in Nonlinear Analysis
3 Doklady Mathematics
3 Discrete Dynamics in Nature and Society
3 Differential Equations
3 Groups, Geometry, and Dynamics
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 Archiv der Mathematik
2 Bulletin of the London Mathematical Society
2 Compositio Mathematica
2 Dissertationes Mathematicae
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 SIAM Journal on Control and Optimization
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 Journal of Nonlinear Science
2 Applied Categorical Structures
2 Annales Academiae Scientiarum Fennicae. Mathematica
2 Communications in Contemporary Mathematics
2 Foundations of Computational Mathematics
2 Moscow Mathematical Journal
2 Communications on Pure and Applied Analysis
2 Journal of Dynamical Systems and Geometric Theories
2 Journal of Computational Dynamics
...and 117 more Serials
all top 5

Cited in 54 Fields

1,238 Dynamical systems and ergodic theory (37-XX)
94 Ordinary differential equations (34-XX)
78 Measure and integration (28-XX)
74 Probability theory and stochastic processes (60-XX)
37 Manifolds and cell complexes (57-XX)
34 Several complex variables and analytic spaces (32-XX)
29 Statistical mechanics, structure of matter (82-XX)
26 Differential geometry (53-XX)
25 Functions of a complex variable (30-XX)
25 Operator theory (47-XX)
22 Number theory (11-XX)
20 Partial differential equations (35-XX)
20 Difference and functional equations (39-XX)
16 General topology (54-XX)
15 Numerical analysis (65-XX)
15 Mechanics of particles and systems (70-XX)
15 Systems theory; control (93-XX)
13 Linear and multilinear algebra; matrix theory (15-XX)
13 Group theory and generalizations (20-XX)
13 Quantum theory (81-XX)
13 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
13 Biology and other natural sciences (92-XX)
12 Global analysis, analysis on manifolds (58-XX)
11 Fluid mechanics (76-XX)
10 Algebraic geometry (14-XX)
10 Topological groups, Lie groups (22-XX)
9 Combinatorics (05-XX)
8 Real functions (26-XX)
7 Computer science (68-XX)
6 Statistics (62-XX)
6 Geophysics (86-XX)
6 Information and communication theory, circuits (94-XX)
5 Functional analysis (46-XX)
4 Mathematical logic and foundations (03-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
3 History and biography (01-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Abstract harmonic analysis (43-XX)
3 Convex and discrete geometry (52-XX)
3 Optics, electromagnetic theory (78-XX)
2 General and overarching topics; collections (00-XX)
2 Commutative algebra (13-XX)
2 Algebraic topology (55-XX)
2 Mechanics of deformable solids (74-XX)
2 Classical thermodynamics, heat transfer (80-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 General algebraic systems (08-XX)
1 Associative rings and algebras (16-XX)
1 Category theory; homological algebra (18-XX)
1 Potential theory (31-XX)
1 Special functions (33-XX)
1 Approximations and expansions (41-XX)
1 Integral transforms, operational calculus (44-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.