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## Cairns, Grant

Compute Distance To:
 Author ID: cairns.grant Published as: Cairns, Grant; Cairns, G. Homepage: http://grantcairns.ltumathstats.com/ External Links: ORCID
 Documents Indexed: 88 Publications since 1983
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#### Co-Authors

 19 single-authored 12 Nikolayevsky, Yuri 8 Jessup, Barry 7 Aebi, Christian 5 Ho, Nhan Bao 5 Mendan, Stacey 4 Hinić-Galić, Ana 4 McIntyre, Margaret 3 Bamberg, John 3 Elton, Daniel M. 3 Kim, Gunky 3 Kolganova, Alla 3 Nielsen, Anthony 3 Nikolaevskiĭ, Yuriĭ A. 2 Armstrong, Grant F. 2 Banks, John David 2 Escobales, Richard H. jun. 2 Ghys, Étienne 2 King, Deborah M. 2 Ozdemir, Mehmet 2 Sharpe, Richard W. 2 Stacey, Peter J. 1 Byrnes, Graham B. 1 Chartarrayawadee, Korrakot 1 Elton, G. C. 1 Groves, Emily 1 Jackson, Marcel G. 1 Jambor, Sebastian 1 Jerie, M. 1 Kilminster, Devin 1 Koussas, Timothy J. 1 Le, Nguyen Thanh Tung 1 Lengyel, Tamás 1 Molino, Pierre 1 Nicolau, Marcel 1 Perversi, P. 1 Pham, Thanh Duong 1 Pitkethly, Jane G. 1 Rossiter, Gavin 1 Shi, Enhui 1 Strantzen, John B. 1 Tjaden, Ekkehard-Heinrich 1 Tsartsaflis, Ioannis 1 van Golstein Brouwers, David 1 Wang, Suhua 1 Webb, Lynette 1 Zhou, Lizhen
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#### Serials

 7 American Mathematical Monthly 5 Bulletin of the Australian Mathematical Society 5 Discrete Mathematics 5 Mathematics Magazine 5 Proceedings of the American Mathematical Society 4 Journal of Lie Theory 3 The Australian Mathematical Society Gazette 3 L’Enseignement Mathématique. 2e Série 3 Comptes Rendus de l’Académie des Sciences. Série I 3 The Australasian Journal of Combinatorics 3 Integers 2 Rocky Mountain Journal of Mathematics 2 Discrete & Computational Geometry 2 Elemente der Mathematik 2 Journal of Knot Theory and its Ramifications 1 Communications in Algebra 1 Linear and Multilinear Algebra 1 Nonlinearity 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Colloquium Mathematicum 1 Geometriae Dedicata 1 Journal of Differential Geometry 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 1 Tohoku Mathematical Journal. Second Series 1 Topology 1 Transactions of the American Mathematical Society 1 Topology and its Applications 1 Note di Matematica 1 Annals of Global Analysis and Geometry 1 Graphs and Combinatorics 1 Journal of the Australian Mathematical Society. Series A 1 The Electronic Journal of Combinatorics 1 Discrete and Continuous Dynamical Systems 1 Discrete Mathematics and Theoretical Computer Science. DMTCS 1 Journal of Generalized Lie Theory and Applications 1 Ars Mathematica Contemporanea 1 International Journal of Combinatorics
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#### Fields

 26 Differential geometry (53-XX) 25 Manifolds and cell complexes (57-XX) 19 Combinatorics (05-XX) 18 Nonassociative rings and algebras (17-XX) 9 Number theory (11-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Algebraic topology (55-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 General topology (54-XX) 4 Topological groups, Lie groups (22-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Mathematics education (97-XX) 2 Mathematical logic and foundations (03-XX) 2 Group theory and generalizations (20-XX) 2 Measure and integration (28-XX) 2 Geometry (51-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX)

#### Citations contained in zbMATH Open

61 Publications have been cited 673 times in 567 Documents Cited by Year
On Devaney’s definition of chaos. Zbl 0758.58019
Banks, J.; Brooks, J.; Cairns, G.; Davis, G.; Stacey, P.
1992
Bounds for generalized thrackles. Zbl 0959.05030
Cairns, G.; Nikolayevsky, Y.
2000
The planarity problem for signed Gauss words. Zbl 0821.57010
Cairns, Grant; Elton, Daniel M.
1993
Topological transitivity and mixing notions for group actions. Zbl 1208.37005
Cairns, Grant; Kolganova, Alla; Nielsen, Anthony
2007
Conformal invariants for curves and surfaces in three dimensional space forms. Zbl 0829.53009
Cairns, Grant; Sharpe, Richard; Webb, Lynette
1994
Chaotic group actions. Zbl 0843.58074
Cairns, G.; Davis, G.; Elton, D.; Kolganova, A.; Perversi, P.
1995
The planarity problem II. Zbl 0859.57013
Cairns, Grant; Elton, Daniel M.
1996
Generalized thrackle drawings of non-bipartite graphs. Zbl 1191.05032
Cairns, Grant; Nikolayevsky, Yury
2009
Chaotic actions of free groups. Zbl 0891.54021
Cairns, Grant; Kolganova, Alla
1996
The local linearization problem for smooth $$SL(n)$$-actions. Zbl 0914.57027
Cairns, Grant; Ghys, Étienne
1997
Explicit Betti numbers for a family of nilpotent Lie algebras. Zbl 0873.17020
Armstrong, Grant F.; Cairns, Grant; Jessup, Barry
1997
New bounds on the Betti numbers of nilpotent Lie algebras. Zbl 0873.17019
Cairns, Grant; Jessup, Barry
1997
Totally geodesic foliations on 4-manifolds. Zbl 0601.53027
Cairns, Grant; Ghys, Etienne
1986
On the inversive differential geometry of plane curves. Zbl 0718.53013
Cairns, G.; Sharpe, R. W.
1990
The Sprague-Grundy function of the real game Euclid. Zbl 1232.91069
Cairns, Grant; Ho, Nhan Bao; Lengyel, Tamás
2011
A general description of totally geodesic foliations. Zbl 0574.57012
Cairns, Grant
1986
The thrackle conjecture for $$K_5$$ and $$K_{3,3}$$. Zbl 1061.05026
Cairns, Grant; McIntyre, Margaret; Nikolayevsky, Yury
2004
On the Betti numbers of nilpotent Lie algebras of small dimension. Zbl 0866.17016
Cairns, Grant; Jessup, Barry; Pitkethly, Jane
1997
Further geometry of the mean curvature one-form and the normal plane field one-form on a foliated Riemannian manifold. Zbl 0884.57023
Cairns, Grant; Escobales, Richard H. jun.
1997
A new formula for winding number. Zbl 0780.53004
McIntyre, Margaret; Cairns, Grant
1993
Géométrie globale des feuilletages totalement géodésiques. Zbl 0534.53031
Cairns, Grant
1983
Totally umbilic Riemannian foliations. Zbl 0695.53024
Cairns, Grant
1990
The crystallographic restriction, permutations, and Goldbach’s conjecture. Zbl 1122.11313
Bamberg, John; Cairns, Grant; Kilminster, Devin
2003
Outerplanar thrackles. Zbl 1234.05168
Cairns, Grant; Nikolayevsky, Yury
2012
A sharp refinement of a result of Zverovich-Zverovich. Zbl 1309.05049
Cairns, Grant; Mendan, Stacey; Nikolayevsky, Yuri
2015
The cohomology of the Heisenberg Lie algebras over fields of finite characteristic. Zbl 1207.17027
Cairns, Grant; Jambor, Sebastian
2008
Morley’s other miracle. Zbl 1260.11003
Aebi, Christian; Cairns, Grant
2012
Min, a combinatorial game having a connection with prime numbers. Zbl 1203.91042
Cairns, Grant; Ho, Nhan Bao
2010
A sharp refinement of a result of Alon, Ben-Shimon and Krivelevich on bipartite graph vertex sequences. Zbl 1305.05137
Cairns, Grant; Mendan, Stacey; Nikolayevsky, Yuri
2014
Geodesic bases for Lie algebras. Zbl 1308.17016
Cairns, Grant; Galić, Ana Hinić; Nikolayevsky, Yuri; Tsartsaflis, Ioannis
2015
A counterexample to a conjecture of U. Pinkall. Zbl 0767.53001
Cairns, Grant; Özdemir, Mehmet; Tjaden, Ekkehard-H.
1992
Topologically transitive homeomorphisms of quotients of tori. Zbl 0952.54024
Cairns, Grant; Jessup, Barry; Nicolau, Marcel
1999
Cohomology operations for Lie algebras. Zbl 1049.17020
Cairns, Grant; Jessup, Barry
2004
Totally geodesic subalgebras of nilpotent Lie algebras. Zbl 1362.17017
Cairns, Grant; Hinić Galić, Ana; Nikolayevsky, Yuri
2013
Totally geodesic subalgebras of filiform nilpotent Lie algebras. Zbl 1290.17009
Cairns, Grant; Hinić Galić, Ana; Nikolayevsky, Yuri
2013
All odd musquashes are standard. Zbl 0968.05015
Cairns, Grant; King, Deborah M.
2001
Aspects cohomologiques des feuilletages totalement géodésiques. (Cohomological aspects of totally geodesic foliations). Zbl 0592.57019
Cairns, Grant
1984
Totally Goldbach numbers and related conjectures. Zbl 1162.11383
van Golstein Brouwers, David; Bamberg, John; Cairns, Grant
2004
Equitable candy sharing. Zbl 1394.91030
Cairns, Grant
2017
Symmetric bipartite graphs and graphs with loops. Zbl 1310.05064
Cairns, Grant; Mendan, Stacey
2015
A restriction of Euclid. Zbl 1272.91042
Cairns, Grant; Ho, Nhan Bao
2012
A sufficient condition for a pair of sequences to be bipartite graphic. Zbl 1361.05030
Cairns, Grant; Mendan, Stacey; Nikolayevsky, Yuri
2016
Ultimately bipartite subtraction games. Zbl 1218.91033
Cairns, Grant; Ho, Nhan Bao
2010
The answer to Woodall’s musquash problem. Zbl 0934.05030
Cairns, Grant; King, Deborah M.
1999
Topological transitivity of solvable group actions on the line $$\mathbb R$$. Zbl 1252.37014
Wang, Suhua; Shi, Enhui; Zhou, Lizhen; Cairns, Grant
2009
Free submodules for the central representation in the cohomology of Lie algebras. Zbl 1226.17014
Cairns, Grant; Jessup, Barry
2008
An improvement of a result of Zverovich-Zverovich. Zbl 1337.05023
Cairns, Grant; Mendan, Stacey
2016
Note on a theorem of Gromoll-Grove. Zbl 0910.53017
Cairns, Grant; Escobales, Richard H. jun.
1997
Compact 4-manifolds that admit totally umbilic metric foliations. Zbl 0789.53018
Cairns, Grant
1990
Geometric proofs of some recent results of Yang Lu. Zbl 0808.51016
Cairns, Grant; Mcintyre, Margaret; Strantzen, John
1993
On the dynamics of the linear action of $$\text{SL}(n, \mathbb Z)$$. Zbl 1080.37006
Cairns, Grant; Nielsen, Anthony
2005
Queens on non-square tori. Zbl 0977.05098
Cairns, Grant
2001
Leftovers from the ham sandwich theorem. Zbl 0972.57011
Byrnes, Graham; Cairns, Grant; Jessup, Barry
2001
Feuilletages totalement géodésiques de dimension 1, 2 ou 3. (Totally geodesic foliations of dimension 1, 2 or 3). Zbl 0568.57019
Cairns, Grant
1984
Une remarque sur la cohomologie basique d’un feuilletage riemannien. (A remark on the basic cohomology of a Riemannian foliation). Zbl 0591.53027
Cairns, Grant
1985
Sums of quadratic residues and nonresidues. Zbl 1391.11007
Aebi, Christian; Cairns, Grant
2017
Bad drawings of small complete graphs. Zbl 1429.05147
Cairns, Grant; Groves, Emily; Nikolayevsky, Yuri
2019
On the existence of orthonormal geodesic bases for Lie algebras. Zbl 1358.17012
Cairns, Grant; Le, Nguyen Thanh Tung; Nielsen, Anthony; Nikolayevsky, Yuri
2013
Great-circle spherical thrackles. Zbl 1318.05047
Cairns, Grant; Koussas, Timothy J.; Nikolayevsky, Yuri
2015
Proof without words: $$\sqrt{2}$$ is irrational. Zbl 1246.97004
Cairns, Grant
2012
An example of a chaotic group action on Euclidean space by compactly supported homeomorphisms. Zbl 1136.54021
Cairns, Grant; Pham, Thanh Duong
2007
Bad drawings of small complete graphs. Zbl 1429.05147
Cairns, Grant; Groves, Emily; Nikolayevsky, Yuri
2019
Equitable candy sharing. Zbl 1394.91030
Cairns, Grant
2017
Sums of quadratic residues and nonresidues. Zbl 1391.11007
Aebi, Christian; Cairns, Grant
2017
A sufficient condition for a pair of sequences to be bipartite graphic. Zbl 1361.05030
Cairns, Grant; Mendan, Stacey; Nikolayevsky, Yuri
2016
An improvement of a result of Zverovich-Zverovich. Zbl 1337.05023
Cairns, Grant; Mendan, Stacey
2016
A sharp refinement of a result of Zverovich-Zverovich. Zbl 1309.05049
Cairns, Grant; Mendan, Stacey; Nikolayevsky, Yuri
2015
Geodesic bases for Lie algebras. Zbl 1308.17016
Cairns, Grant; Galić, Ana Hinić; Nikolayevsky, Yuri; Tsartsaflis, Ioannis
2015
Symmetric bipartite graphs and graphs with loops. Zbl 1310.05064
Cairns, Grant; Mendan, Stacey
2015
Great-circle spherical thrackles. Zbl 1318.05047
Cairns, Grant; Koussas, Timothy J.; Nikolayevsky, Yuri
2015
A sharp refinement of a result of Alon, Ben-Shimon and Krivelevich on bipartite graph vertex sequences. Zbl 1305.05137
Cairns, Grant; Mendan, Stacey; Nikolayevsky, Yuri
2014
Totally geodesic subalgebras of nilpotent Lie algebras. Zbl 1362.17017
Cairns, Grant; Hinić Galić, Ana; Nikolayevsky, Yuri
2013
Totally geodesic subalgebras of filiform nilpotent Lie algebras. Zbl 1290.17009
Cairns, Grant; Hinić Galić, Ana; Nikolayevsky, Yuri
2013
On the existence of orthonormal geodesic bases for Lie algebras. Zbl 1358.17012
Cairns, Grant; Le, Nguyen Thanh Tung; Nielsen, Anthony; Nikolayevsky, Yuri
2013
Outerplanar thrackles. Zbl 1234.05168
Cairns, Grant; Nikolayevsky, Yury
2012
Morley’s other miracle. Zbl 1260.11003
Aebi, Christian; Cairns, Grant
2012
A restriction of Euclid. Zbl 1272.91042
Cairns, Grant; Ho, Nhan Bao
2012
Proof without words: $$\sqrt{2}$$ is irrational. Zbl 1246.97004
Cairns, Grant
2012
The Sprague-Grundy function of the real game Euclid. Zbl 1232.91069
Cairns, Grant; Ho, Nhan Bao; Lengyel, Tamás
2011
Min, a combinatorial game having a connection with prime numbers. Zbl 1203.91042
Cairns, Grant; Ho, Nhan Bao
2010
Ultimately bipartite subtraction games. Zbl 1218.91033
Cairns, Grant; Ho, Nhan Bao
2010
Generalized thrackle drawings of non-bipartite graphs. Zbl 1191.05032
Cairns, Grant; Nikolayevsky, Yury
2009
Topological transitivity of solvable group actions on the line $$\mathbb R$$. Zbl 1252.37014
Wang, Suhua; Shi, Enhui; Zhou, Lizhen; Cairns, Grant
2009
The cohomology of the Heisenberg Lie algebras over fields of finite characteristic. Zbl 1207.17027
Cairns, Grant; Jambor, Sebastian
2008
Free submodules for the central representation in the cohomology of Lie algebras. Zbl 1226.17014
Cairns, Grant; Jessup, Barry
2008
Topological transitivity and mixing notions for group actions. Zbl 1208.37005
Cairns, Grant; Kolganova, Alla; Nielsen, Anthony
2007
An example of a chaotic group action on Euclidean space by compactly supported homeomorphisms. Zbl 1136.54021
Cairns, Grant; Pham, Thanh Duong
2007
On the dynamics of the linear action of $$\text{SL}(n, \mathbb Z)$$. Zbl 1080.37006
Cairns, Grant; Nielsen, Anthony
2005
The thrackle conjecture for $$K_5$$ and $$K_{3,3}$$. Zbl 1061.05026
Cairns, Grant; McIntyre, Margaret; Nikolayevsky, Yury
2004
Cohomology operations for Lie algebras. Zbl 1049.17020
Cairns, Grant; Jessup, Barry
2004
Totally Goldbach numbers and related conjectures. Zbl 1162.11383
van Golstein Brouwers, David; Bamberg, John; Cairns, Grant
2004
The crystallographic restriction, permutations, and Goldbach’s conjecture. Zbl 1122.11313
Bamberg, John; Cairns, Grant; Kilminster, Devin
2003
All odd musquashes are standard. Zbl 0968.05015
Cairns, Grant; King, Deborah M.
2001
Queens on non-square tori. Zbl 0977.05098
Cairns, Grant
2001
Leftovers from the ham sandwich theorem. Zbl 0972.57011
Byrnes, Graham; Cairns, Grant; Jessup, Barry
2001
Bounds for generalized thrackles. Zbl 0959.05030
Cairns, G.; Nikolayevsky, Y.
2000
Topologically transitive homeomorphisms of quotients of tori. Zbl 0952.54024
Cairns, Grant; Jessup, Barry; Nicolau, Marcel
1999
The answer to Woodall’s musquash problem. Zbl 0934.05030
Cairns, Grant; King, Deborah M.
1999
The local linearization problem for smooth $$SL(n)$$-actions. Zbl 0914.57027
Cairns, Grant; Ghys, Étienne
1997
Explicit Betti numbers for a family of nilpotent Lie algebras. Zbl 0873.17020
Armstrong, Grant F.; Cairns, Grant; Jessup, Barry
1997
New bounds on the Betti numbers of nilpotent Lie algebras. Zbl 0873.17019
Cairns, Grant; Jessup, Barry
1997
On the Betti numbers of nilpotent Lie algebras of small dimension. Zbl 0866.17016
Cairns, Grant; Jessup, Barry; Pitkethly, Jane
1997
Further geometry of the mean curvature one-form and the normal plane field one-form on a foliated Riemannian manifold. Zbl 0884.57023
Cairns, Grant; Escobales, Richard H. jun.
1997
Note on a theorem of Gromoll-Grove. Zbl 0910.53017
Cairns, Grant; Escobales, Richard H. jun.
1997
The planarity problem II. Zbl 0859.57013
Cairns, Grant; Elton, Daniel M.
1996
Chaotic actions of free groups. Zbl 0891.54021
Cairns, Grant; Kolganova, Alla
1996
Chaotic group actions. Zbl 0843.58074
Cairns, G.; Davis, G.; Elton, D.; Kolganova, A.; Perversi, P.
1995
Conformal invariants for curves and surfaces in three dimensional space forms. Zbl 0829.53009
Cairns, Grant; Sharpe, Richard; Webb, Lynette
1994
The planarity problem for signed Gauss words. Zbl 0821.57010
Cairns, Grant; Elton, Daniel M.
1993
A new formula for winding number. Zbl 0780.53004
McIntyre, Margaret; Cairns, Grant
1993
Geometric proofs of some recent results of Yang Lu. Zbl 0808.51016
Cairns, Grant; Mcintyre, Margaret; Strantzen, John
1993
On Devaney’s definition of chaos. Zbl 0758.58019
Banks, J.; Brooks, J.; Cairns, G.; Davis, G.; Stacey, P.
1992
A counterexample to a conjecture of U. Pinkall. Zbl 0767.53001
Cairns, Grant; Özdemir, Mehmet; Tjaden, Ekkehard-H.
1992
On the inversive differential geometry of plane curves. Zbl 0718.53013
Cairns, G.; Sharpe, R. W.
1990
Totally umbilic Riemannian foliations. Zbl 0695.53024
Cairns, Grant
1990
Compact 4-manifolds that admit totally umbilic metric foliations. Zbl 0789.53018
Cairns, Grant
1990
Totally geodesic foliations on 4-manifolds. Zbl 0601.53027
Cairns, Grant; Ghys, Etienne
1986
A general description of totally geodesic foliations. Zbl 0574.57012
Cairns, Grant
1986
Une remarque sur la cohomologie basique d’un feuilletage riemannien. (A remark on the basic cohomology of a Riemannian foliation). Zbl 0591.53027
Cairns, Grant
1985
Aspects cohomologiques des feuilletages totalement géodésiques. (Cohomological aspects of totally geodesic foliations). Zbl 0592.57019
Cairns, Grant
1984
Feuilletages totalement géodésiques de dimension 1, 2 ou 3. (Totally geodesic foliations of dimension 1, 2 or 3). Zbl 0568.57019
Cairns, Grant
1984
Géométrie globale des feuilletages totalement géodésiques. Zbl 0534.53031
Cairns, Grant
1983
all top 5

#### Cited by 700 Authors

 26 Shi, Yuming 19 Cairns, Grant 19 Chen, Guanrong 15 Wu, Xinxing 14 Peris, Alfredo 13 Li, Risong 11 Shi, Enhui 10 Lu, Tianxiu 10 Martínez-Giménez, Félix 9 Li, Zongcheng 8 Mai, Jiehua 8 Murillo-Arcila, Marina 8 Nikolayevsky, Yuri 7 Cattaneo, Gianpiero 7 Conejero, José Alberto 7 Zhang, Xu 6 Ho, Nhan Bao 6 Huang, Yu 6 Kolesov, Andreĭ Yur’evich 6 Langevin, Rémi 6 Liang, Wei 6 Margara, Luciano 6 Oprocha, Piotr 6 Pach, János 6 Rozov, Nikolaĭ Khristovich 6 Schäfer, Marcus 5 Das, Ruchi 5 Fulek, Radoslav 5 Glyzin, Sergeĭ D. 5 Liao, Gongfu 5 Pelsmajer, Michael J. 5 Steele, Timothy H. 5 Walczak, Paweł Grzegorz 5 Wang, Lidong 5 Wang, Suhua 5 Wolak, Robert A. 5 Zhang, Lijuan 4 Bahabadi, Alireza Zamani 4 Dai, Xiongping 4 Gu, Rongbao 4 Guyeux, Christophe 4 Hou, Bingzhe 4 Il’yutko, Denis Petrovich 4 Intissar, Abdelkader 4 Javaheri, Mohammad 4 Kwietniak, Dominik 4 Lizama, Carlos 4 Miller, Alica 4 Prieto, José Ignacio Royo 4 Román-Flores, Heriberto E. 4 Seoane-Sepúlveda, Juan Benigno 4 Štefankovič, Daniel 4 Tian, Chuanjun 4 Tirao, Paulo 4 Wang, Huoyun 4 Zhu, Peiyong 3 Aebi, Christian 3 Alsedà, Lluís 3 Cadre, Benoît 3 Cánovas, Jose S. 3 Chen, Yuanlong 3 Chen, Zhijing 3 Chu, Zhenyan 3 Dawidowicz, Antoni Leon 3 del Río, M. A. 3 Dennunzio, Alberto 3 Fedeli, Alessandro 3 Formenti, Enrico 3 Garg, Mukta 3 Huang, Qiuling 3 Jessup, Barry 3 Kennedy, Judy A. 3 Kulczycki, Marcin 3 Li, Jian 3 Lin, Wei 3 Liu, Heng 3 Ma, Xin 3 Manturov, Vassiliĭ Olegovich 3 Morales, Carlos Arnoldo 3 Nikolaevskiĭ, Yuriĭ A. 3 Nikonorov, Yurii Gennadyevich 3 Niu, Yingxuan 3 Pouseele, Hannes 3 Rodríguez, José Angel 3 Sanchis, Manuel 3 Saralegi-Aranguren, Martintxo 3 Schneider, Friedrich Martin 3 Tóth, Géza 3 Turaev, Vladimir G. 3 Wang, Xiong 3 Wang, Yangeng 3 Weber, Andreas 3 Wei, Guo 3 Ye, Xiangdong 3 Yu, Pei 3 Zhou, Lizhen 2 Abraham, Christophe 2 Akin, Ethan 2 Álvarez López, Jesús A. 2 Alvarez, María Alejandra ...and 600 more Authors
all top 5

#### Cited in 182 Serials

 53 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 39 Chaos, Solitons and Fractals 32 Topology and its Applications 31 Journal of Mathematical Analysis and Applications 19 Proceedings of the American Mathematical Society 18 Journal of Difference Equations and Applications 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Semigroup Forum 10 Theoretical Computer Science 9 Chaos 8 Journal of Knot Theory and its Ramifications 7 Bulletin of the Australian Mathematical Society 6 Journal of Mathematical Physics 6 Geometriae Dedicata 5 Discrete Mathematics 5 Annals of Global Analysis and Geometry 5 Discrete & Computational Geometry 5 Journal of Mathematical Sciences (New York) 5 Discrete and Continuous Dynamical Systems 5 Acta Mathematica Sinica. English Series 5 Communications in Nonlinear Science and Numerical Simulation 5 Dynamical Systems 5 Journal of Nonlinear Science and Applications 4 Journal of Geometry and Physics 4 Annales de l’Institut Fourier 4 Transactions of the American Mathematical Society 4 The Journal of Geometric Analysis 4 Abstract and Applied Analysis 4 Journal of Dynamical and Control Systems 4 Bulletin of the Brazilian Mathematical Society. New Series 4 Advances in Difference Equations 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 American Mathematical Monthly 3 Journal of Differential Equations 3 Mathematische Zeitschrift 3 Ergodic Theory and Dynamical Systems 3 Physica D 3 Indagationes Mathematicae. New Series 3 The Australasian Journal of Combinatorics 3 Regular and Chaotic Dynamics 3 Qualitative Theory of Dynamical Systems 3 Differential Equations 3 Discrete and Continuous Dynamical Systems. Series B 3 Complex Analysis and Operator Theory 2 Communications in Algebra 2 Discrete Applied Mathematics 2 International Journal of General Systems 2 Israel Journal of Mathematics 2 Rocky Mountain Journal of Mathematics 2 Theoretical and Mathematical Physics 2 Mathematics Magazine 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Fuzzy Sets and Systems 2 Publications Mathématiques 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Algebra 2 Journal of Approximation Theory 2 Journal of Combinatorial Theory. Series B 2 Journal of Pure and Applied Algebra 2 Manuscripta Mathematica 2 Tokyo Journal of Mathematics 2 European Journal of Combinatorics 2 Combinatorica 2 Graphs and Combinatorics 2 Journal of Economic Dynamics & Control 2 Applied Mathematics Letters 2 Science in China. Series A 2 Computational Geometry 2 Russian Mathematics 2 Applied Mathematics. Series B (English Edition) 2 Transformation Groups 2 Doklady Mathematics 2 Discrete Dynamics in Nature and Society 2 Journal of High Energy Physics 2 Advances in Geometry 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Dynamical Systems and Geometric Theories 2 Journal of Algebra and its Applications 2 Asian-European Journal of Mathematics 2 International Journal of Combinatorics 2 Science China. Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications 2 Sahand Communications in Mathematical Analysis 1 Applicable Analysis 1 Artificial Intelligence 1 Journal of Fluid Mechanics 1 Journal of the Franklin Institute 1 Letters in Mathematical Physics 1 Linear and Multilinear Algebra 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Physics Letters. A 1 Russian Mathematical Surveys 1 Studia Mathematica 1 Ukrainian Mathematical Journal 1 Advances in Mathematics 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Compositio Mathematica ...and 82 more Serials
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#### Cited in 53 Fields

 332 Dynamical systems and ergodic theory (37-XX) 123 General topology (54-XX) 57 Differential geometry (53-XX) 50 Manifolds and cell complexes (57-XX) 48 Operator theory (47-XX) 47 Combinatorics (05-XX) 36 Computer science (68-XX) 25 Nonassociative rings and algebras (17-XX) 25 Difference and functional equations (39-XX) 20 Ordinary differential equations (34-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Partial differential equations (35-XX) 12 Number theory (11-XX) 11 Measure and integration (28-XX) 11 Functional analysis (46-XX) 9 Group theory and generalizations (20-XX) 9 Topological groups, Lie groups (22-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Systems theory; control (93-XX) 8 Information and communication theory, circuits (94-XX) 7 Probability theory and stochastic processes (60-XX) 7 Biology and other natural sciences (92-XX) 6 Mathematical logic and foundations (03-XX) 6 Real functions (26-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Convex and discrete geometry (52-XX) 6 Algebraic topology (55-XX) 6 Quantum theory (81-XX) 5 Functions of a complex variable (30-XX) 5 Numerical analysis (65-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Algebraic geometry (14-XX) 4 Mechanics of particles and systems (70-XX) 3 Associative rings and algebras (16-XX) 3 Geometry (51-XX) 3 Fluid mechanics (76-XX) 3 Operations research, mathematical programming (90-XX) 2 History and biography (01-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Mechanics of deformable solids (74-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 General algebraic systems (08-XX) 1 Commutative algebra (13-XX) 1 Category theory; homological algebra (18-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX)