Edit Profile (opens in new tab) Cairns, Grant Compute Distance To: Compute Author ID: cairns.grant Published as: Cairns, Grant; Cairns, G. Homepage: http://grantcairns.ltumathstats.com/ External Links: ORCID Documents Indexed: 91 Publications since 1983 1 Further Contribution Co-Authors: 46 Co-Authors with 72 Joint Publications 330 Co-Co-Authors all top 5 Co-Authors 19 single-authored 12 Nikolayevsky, Yuri 10 Aebi, Christian 8 Jessup, Barry 5 Ho, Nhan Bao 5 Mendan, Stacey P. 4 Hinić-Galić, Ana 4 McIntyre, Margaret 3 Bamberg, John 3 Elton, Daniel M. 3 Ghys, Étienne 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 King, Deborah M. 2 Molino, Pierre 2 Özdemir, Mehmet 2 Sharpe, Richard W. 2 Stacey, Peter J. 1 Byrnes, Graham B. 1 Carrière, Yves 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 Nicolau, Marcel 1 Perversi, P. 1 Pham, Thanh Duong 1 Pitkethly, Jane G. 1 Rossiter, Gavin 1 Sergiescu, Vlad 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 all top 5 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 L’Enseignement Mathématique. 2e Série 4 Journal of Lie Theory 3 The Australian Mathematical Society Gazette 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 Tôhoku 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 Progress in Mathematics 1 Journal of Generalized Lie Theory and Applications 1 The College Mathematics Journal 1 Ars Mathematica Contemporanea 1 International Journal of Combinatorics 1 International Journal of Geometry all top 5 Fields 27 Differential geometry (53-XX) 26 Manifolds and cell complexes (57-XX) 19 Combinatorics (05-XX) 18 Nonassociative rings and algebras (17-XX) 11 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) 6 Mathematics education (97-XX) 4 Topological groups, Lie groups (22-XX) 4 Geometry (51-XX) 4 Global analysis, analysis on manifolds (58-XX) 2 Mathematical logic and foundations (03-XX) 2 Group theory and generalizations (20-XX) 2 Measure and integration (28-XX) 1 General and overarching topics; collections (00-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 65 Publications have been cited 744 times in 627 Documents Cited by ▼ Year ▼ On Devaney’s definition of chaos. Zbl 0758.58019Banks, J.; Brooks, J.; Cairns, G.; Davis, G.; Stacey, P. 403 1992 Riemannian foliations. With appendices by G. Cairns, Y. Carrière, E. Ghys, E. Salem, V. Sergiescu. Transl. from the French by Grant Cairns. Zbl 0633.53001Molino, Pierre 51 1988 Bounds for generalized thrackles. Zbl 0959.05030Cairns, G.; Nikolayevsky, Y. 34 2000 Topological transitivity and mixing notions for group actions. Zbl 1208.37005Cairns, Grant; Kolganova, Alla; Nielsen, Anthony 27 2007 The planarity problem for signed Gauss words. Zbl 0821.57010Cairns, Grant; Elton, Daniel M. 22 1993 Chaotic group actions. Zbl 0843.58074Cairns, G.; Davis, G.; Elton, D.; Kolganova, A.; Perversi, P. 17 1995 Conformal invariants for curves and surfaces in three dimensional space forms. Zbl 0829.53009Cairns, Grant; Sharpe, Richard; Webb, Lynette 17 1994 The planarity problem II. Zbl 0859.57013Cairns, Grant; Elton, Daniel M. 15 1996 Chaotic actions of free groups. Zbl 0891.54021Cairns, Grant; Kolganova, Alla 12 1996 The local linearization problem for smooth \(SL(n)\)-actions. Zbl 0914.57027Cairns, Grant; Ghys, Étienne 11 1997 Generalized thrackle drawings of non-bipartite graphs. Zbl 1191.05032Cairns, Grant; Nikolayevsky, Yury 11 2009 Explicit Betti numbers for a family of nilpotent Lie algebras. Zbl 0873.17020Armstrong, Grant F.; Cairns, Grant; Jessup, Barry 10 1997 New bounds on the Betti numbers of nilpotent Lie algebras. Zbl 0873.17019Cairns, Grant; Jessup, Barry 9 1997 On the inversive differential geometry of plane curves. Zbl 0718.53013Cairns, G.; Sharpe, R. W. 8 1990 Totally geodesic foliations on 4-manifolds. Zbl 0601.53027Cairns, Grant; Ghys, Etienne 8 1986 A general description of totally geodesic foliations. Zbl 0574.57012Cairns, Grant 8 1986 The crystallographic restriction, permutations, and Goldbach’s conjecture. Zbl 1122.11313Bamberg, John; Cairns, Grant; Kilminster, Devin 6 2003 Géométrie globale des feuilletages totalement géodésiques. Zbl 0534.53031Cairns, Grant 6 1983 The thrackle conjecture for \(K_5\) and \(K_{3,3}\). Zbl 1061.05026Cairns, Grant; McIntyre, Margaret; Nikolayevsky, Yury 6 2004 On the Betti numbers of nilpotent Lie algebras of small dimension. Zbl 0866.17016Cairns, Grant; Jessup, Barry; Pitkethly, Jane 6 1997 A new formula for winding number. Zbl 0780.53004McIntyre, Margaret; Cairns, Grant 6 1993 The Sprague-Grundy function of the real game Euclid. Zbl 1232.91069Cairns, Grant; Ho, Nhan Bao; Lengyel, Tamás 6 2011 A sharp refinement of a result of Zverovich-Zverovich. Zbl 1309.05049Cairns, Grant; Mendan, Stacey; Nikolayevsky, Yuri 5 2015 Totally umbilic Riemannian foliations. Zbl 0695.53024Cairns, Grant 5 1990 Outerplanar thrackles. Zbl 1234.05168Cairns, Grant; Nikolayevsky, Yury 5 2012 Further geometry of the mean curvature one-form and the normal plane field one-form on a foliated Riemannian manifold. Zbl 0884.57023Cairns, Grant; Escobales, Richard H. jun. 5 1997 Morley’s other miracle. Zbl 1260.11003Aebi, Christian; Cairns, Grant 4 2012 The cohomology of the Heisenberg Lie algebras over fields of finite characteristic. Zbl 1207.17027Cairns, Grant; Jambor, Sebastian 4 2008 Geodesic bases for Lie algebras. Zbl 1308.17016Cairns, Grant; Galić, Ana Hinić; Nikolayevsky, Yuri; Tsartsaflis, Ioannis 3 2015 Totally geodesic subalgebras of nilpotent Lie algebras. Zbl 1362.17017Cairns, Grant; Hinić Galić, Ana; Nikolayevsky, Yuri 3 2013 Totally geodesic subalgebras of filiform nilpotent Lie algebras. Zbl 1290.17009Cairns, Grant; Hinić Galić, Ana; Nikolayevsky, Yuri 3 2013 A counterexample to a conjecture of U. Pinkall. Zbl 0767.53001Cairns, Grant; Özdemir, Mehmet; Tjaden, Ekkehard-H. 3 1992 A sharp refinement of a result of Alon, Ben-Shimon and Krivelevich on bipartite graph vertex sequences. Zbl 1305.05137Cairns, Grant; Mendan, Stacey; Nikolayevsky, Yuri 3 2014 Topologically transitive homeomorphisms of quotients of tori. Zbl 0952.54024Cairns, Grant; Jessup, Barry; Nicolau, Marcel 3 1999 Cohomology operations for Lie algebras. Zbl 1049.17020Cairns, Grant; Jessup, Barry 3 2004 Min, a combinatorial game having a connection with prime numbers. Zbl 1203.91042Cairns, Grant; Ho, Nhan Bao 3 2010 On the dynamics of the linear action of \(\text{SL}(n, \mathbb Z)\). Zbl 1080.37006Cairns, Grant; Nielsen, Anthony 2 2005 The answer to Woodall’s musquash problem. Zbl 0934.05030Cairns, Grant; King, Deborah M. 2 1999 A sufficient condition for a pair of sequences to be bipartite graphic. Zbl 1361.05030Cairns, Grant; Mendan, Stacey; Nikolayevsky, Yuri 2 2016 Great-circle spherical thrackles. Zbl 1318.05047Cairns, Grant; Koussas, Timothy J.; Nikolayevsky, Yuri 2 2015 A property of twin primes. Zbl 1248.11008Aebi, Christian; Cairns, Grant 2 2012 A restriction of Euclid. Zbl 1272.91042Cairns, Grant; Ho, Nhan Bao 2 2012 An example of a chaotic group action on Euclidean space by compactly supported homeomorphisms. Zbl 1136.54021Cairns, Grant; Pham, Thanh Duong 2 2007 Totally Goldbach numbers and related conjectures. Zbl 1162.11383van Golstein Brouwers, David; Bamberg, John; Cairns, Grant 2 2004 Symmetric bipartite graphs and graphs with loops. Zbl 1310.05064Cairns, Grant; Mendan, Stacey 2 2015 Ultimately bipartite subtraction games. Zbl 1218.91033Cairns, Grant; Ho, Nhan Bao 2 2010 Sums of quadratic residues and nonresidues. Zbl 1391.11007Aebi, Christian; Cairns, Grant 2 2017 Equitable candy sharing. Zbl 1394.91030Cairns, Grant 2 2017 Aspects cohomologiques des feuilletages totalement géodésiques. (Cohomological aspects of totally geodesic foliations). Zbl 0592.57019Cairns, Grant 2 1984 All odd musquashes are standard. Zbl 0968.05015Cairns, Grant; King, Deborah M. 2 2001 Queens on non-square tori. Zbl 0977.05098Cairns, Grant 2 2001 Curvature properties of metric nilpotent Lie algebras which are independent of metric. Zbl 1380.53057Cairns, Grant; Hinić Galić, Ana; Nikolayevsky, Yuri 1 2017 Free submodules for the central representation in the cohomology of Lie algebras. Zbl 1226.17014Cairns, Grant; Jessup, Barry 1 2008 Proof without words: \(\sqrt{2}\) is irrational. Zbl 1246.97004Cairns, Grant 1 2012 Note on a theorem of Gromoll-Grove. Zbl 0910.53017Cairns, Grant; Escobales, Richard H. jun. 1 1997 An improvement of a result of Zverovich-Zverovich. Zbl 1337.05023Cairns, Grant; Mendan, Stacey 1 2016 Bad drawings of small complete graphs. Zbl 1429.05147Cairns, Grant; Groves, Emily; Nikolayevsky, Yuri 1 2019 Topological transitivity of solvable group actions on the line \(\mathbb R\). Zbl 1252.37014Wang, Suhua; Shi, Enhui; Zhou, Lizhen; Cairns, Grant 1 2009 On the existence of orthonormal geodesic bases for Lie algebras. Zbl 1358.17012Cairns, Grant; Le, Nguyen Thanh Tung; Nielsen, Anthony; Nikolayevsky, Yuri 1 2013 Wolstenholme again. Zbl 1392.11005Aebi, Christian; Cairns, Grant 1 2015 Compact 4-manifolds that admit totally umbilic metric foliations. Zbl 0789.53018Cairns, Grant 1 1990 Une remarque sur la cohomologie basique d’un feuilletage riemannien. (A remark on the basic cohomology of a Riemannian foliation). Zbl 0591.53027Cairns, Grant 1 1985 Feuilletages totalement géodésiques de dimension 1, 2 ou 3. (Totally geodesic foliations of dimension 1, 2 or 3). Zbl 0568.57019Cairns, Grant 1 1984 Geometric proofs of some recent results of Yang Lu. Zbl 0808.51016Cairns, Grant; Mcintyre, Margaret; Strantzen, John 1 1993 Leftovers from the ham sandwich theorem. Zbl 0972.57011Byrnes, Graham; Cairns, Grant; Jessup, Barry 1 2001 Bad drawings of small complete graphs. Zbl 1429.05147Cairns, Grant; Groves, Emily; Nikolayevsky, Yuri 1 2019 Sums of quadratic residues and nonresidues. Zbl 1391.11007Aebi, Christian; Cairns, Grant 2 2017 Equitable candy sharing. Zbl 1394.91030Cairns, Grant 2 2017 Curvature properties of metric nilpotent Lie algebras which are independent of metric. Zbl 1380.53057Cairns, Grant; Hinić Galić, Ana; Nikolayevsky, Yuri 1 2017 A sufficient condition for a pair of sequences to be bipartite graphic. Zbl 1361.05030Cairns, Grant; Mendan, Stacey; Nikolayevsky, Yuri 2 2016 An improvement of a result of Zverovich-Zverovich. Zbl 1337.05023Cairns, Grant; Mendan, Stacey 1 2016 A sharp refinement of a result of Zverovich-Zverovich. Zbl 1309.05049Cairns, Grant; Mendan, Stacey; Nikolayevsky, Yuri 5 2015 Geodesic bases for Lie algebras. Zbl 1308.17016Cairns, Grant; Galić, Ana Hinić; Nikolayevsky, Yuri; Tsartsaflis, Ioannis 3 2015 Great-circle spherical thrackles. Zbl 1318.05047Cairns, Grant; Koussas, Timothy J.; Nikolayevsky, Yuri 2 2015 Symmetric bipartite graphs and graphs with loops. Zbl 1310.05064Cairns, Grant; Mendan, Stacey 2 2015 Wolstenholme again. Zbl 1392.11005Aebi, Christian; Cairns, Grant 1 2015 A sharp refinement of a result of Alon, Ben-Shimon and Krivelevich on bipartite graph vertex sequences. Zbl 1305.05137Cairns, Grant; Mendan, Stacey; Nikolayevsky, Yuri 3 2014 Totally geodesic subalgebras of nilpotent Lie algebras. Zbl 1362.17017Cairns, Grant; Hinić Galić, Ana; Nikolayevsky, Yuri 3 2013 Totally geodesic subalgebras of filiform nilpotent Lie algebras. Zbl 1290.17009Cairns, Grant; Hinić Galić, Ana; Nikolayevsky, Yuri 3 2013 On the existence of orthonormal geodesic bases for Lie algebras. Zbl 1358.17012Cairns, Grant; Le, Nguyen Thanh Tung; Nielsen, Anthony; Nikolayevsky, Yuri 1 2013 Outerplanar thrackles. Zbl 1234.05168Cairns, Grant; Nikolayevsky, Yury 5 2012 Morley’s other miracle. Zbl 1260.11003Aebi, Christian; Cairns, Grant 4 2012 A property of twin primes. Zbl 1248.11008Aebi, Christian; Cairns, Grant 2 2012 A restriction of Euclid. Zbl 1272.91042Cairns, Grant; Ho, Nhan Bao 2 2012 Proof without words: \(\sqrt{2}\) is irrational. Zbl 1246.97004Cairns, Grant 1 2012 The Sprague-Grundy function of the real game Euclid. Zbl 1232.91069Cairns, Grant; Ho, Nhan Bao; Lengyel, Tamás 6 2011 Min, a combinatorial game having a connection with prime numbers. Zbl 1203.91042Cairns, Grant; Ho, Nhan Bao 3 2010 Ultimately bipartite subtraction games. Zbl 1218.91033Cairns, Grant; Ho, Nhan Bao 2 2010 Generalized thrackle drawings of non-bipartite graphs. Zbl 1191.05032Cairns, Grant; Nikolayevsky, Yury 11 2009 Topological transitivity of solvable group actions on the line \(\mathbb R\). Zbl 1252.37014Wang, Suhua; Shi, Enhui; Zhou, Lizhen; Cairns, Grant 1 2009 The cohomology of the Heisenberg Lie algebras over fields of finite characteristic. Zbl 1207.17027Cairns, Grant; Jambor, Sebastian 4 2008 Free submodules for the central representation in the cohomology of Lie algebras. Zbl 1226.17014Cairns, Grant; Jessup, Barry 1 2008 Topological transitivity and mixing notions for group actions. Zbl 1208.37005Cairns, Grant; Kolganova, Alla; Nielsen, Anthony 27 2007 An example of a chaotic group action on Euclidean space by compactly supported homeomorphisms. Zbl 1136.54021Cairns, Grant; Pham, Thanh Duong 2 2007 On the dynamics of the linear action of \(\text{SL}(n, \mathbb Z)\). Zbl 1080.37006Cairns, Grant; Nielsen, Anthony 2 2005 The thrackle conjecture for \(K_5\) and \(K_{3,3}\). Zbl 1061.05026Cairns, Grant; McIntyre, Margaret; Nikolayevsky, Yury 6 2004 Cohomology operations for Lie algebras. Zbl 1049.17020Cairns, Grant; Jessup, Barry 3 2004 Totally Goldbach numbers and related conjectures. Zbl 1162.11383van Golstein Brouwers, David; Bamberg, John; Cairns, Grant 2 2004 The crystallographic restriction, permutations, and Goldbach’s conjecture. Zbl 1122.11313Bamberg, John; Cairns, Grant; Kilminster, Devin 6 2003 All odd musquashes are standard. Zbl 0968.05015Cairns, Grant; King, Deborah M. 2 2001 Queens on non-square tori. Zbl 0977.05098Cairns, Grant 2 2001 Leftovers from the ham sandwich theorem. Zbl 0972.57011Byrnes, Graham; Cairns, Grant; Jessup, Barry 1 2001 Bounds for generalized thrackles. Zbl 0959.05030Cairns, G.; Nikolayevsky, Y. 34 2000 Topologically transitive homeomorphisms of quotients of tori. Zbl 0952.54024Cairns, Grant; Jessup, Barry; Nicolau, Marcel 3 1999 The answer to Woodall’s musquash problem. Zbl 0934.05030Cairns, Grant; King, Deborah M. 2 1999 The local linearization problem for smooth \(SL(n)\)-actions. Zbl 0914.57027Cairns, Grant; Ghys, Étienne 11 1997 Explicit Betti numbers for a family of nilpotent Lie algebras. Zbl 0873.17020Armstrong, Grant F.; Cairns, Grant; Jessup, Barry 10 1997 New bounds on the Betti numbers of nilpotent Lie algebras. Zbl 0873.17019Cairns, Grant; Jessup, Barry 9 1997 On the Betti numbers of nilpotent Lie algebras of small dimension. Zbl 0866.17016Cairns, Grant; Jessup, Barry; Pitkethly, Jane 6 1997 Further geometry of the mean curvature one-form and the normal plane field one-form on a foliated Riemannian manifold. Zbl 0884.57023Cairns, Grant; Escobales, Richard H. jun. 5 1997 Note on a theorem of Gromoll-Grove. Zbl 0910.53017Cairns, Grant; Escobales, Richard H. jun. 1 1997 The planarity problem II. Zbl 0859.57013Cairns, Grant; Elton, Daniel M. 15 1996 Chaotic actions of free groups. Zbl 0891.54021Cairns, Grant; Kolganova, Alla 12 1996 Chaotic group actions. Zbl 0843.58074Cairns, G.; Davis, G.; Elton, D.; Kolganova, A.; Perversi, P. 17 1995 Conformal invariants for curves and surfaces in three dimensional space forms. Zbl 0829.53009Cairns, Grant; Sharpe, Richard; Webb, Lynette 17 1994 The planarity problem for signed Gauss words. Zbl 0821.57010Cairns, Grant; Elton, Daniel M. 22 1993 A new formula for winding number. Zbl 0780.53004McIntyre, Margaret; Cairns, Grant 6 1993 Geometric proofs of some recent results of Yang Lu. Zbl 0808.51016Cairns, Grant; Mcintyre, Margaret; Strantzen, John 1 1993 On Devaney’s definition of chaos. Zbl 0758.58019Banks, J.; Brooks, J.; Cairns, G.; Davis, G.; Stacey, P. 403 1992 A counterexample to a conjecture of U. Pinkall. Zbl 0767.53001Cairns, Grant; Özdemir, Mehmet; Tjaden, Ekkehard-H. 3 1992 On the inversive differential geometry of plane curves. Zbl 0718.53013Cairns, G.; Sharpe, R. W. 8 1990 Totally umbilic Riemannian foliations. Zbl 0695.53024Cairns, Grant 5 1990 Compact 4-manifolds that admit totally umbilic metric foliations. Zbl 0789.53018Cairns, Grant 1 1990 Riemannian foliations. With appendices by G. Cairns, Y. Carrière, E. Ghys, E. Salem, V. Sergiescu. Transl. from the French by Grant Cairns. Zbl 0633.53001Molino, Pierre 51 1988 Totally geodesic foliations on 4-manifolds. Zbl 0601.53027Cairns, Grant; Ghys, Etienne 8 1986 A general description of totally geodesic foliations. Zbl 0574.57012Cairns, Grant 8 1986 Une remarque sur la cohomologie basique d’un feuilletage riemannien. (A remark on the basic cohomology of a Riemannian foliation). Zbl 0591.53027Cairns, Grant 1 1985 Aspects cohomologiques des feuilletages totalement géodésiques. (Cohomological aspects of totally geodesic foliations). Zbl 0592.57019Cairns, Grant 2 1984 Feuilletages totalement géodésiques de dimension 1, 2 ou 3. (Totally geodesic foliations of dimension 1, 2 or 3). Zbl 0568.57019Cairns, Grant 1 1984 Géométrie globale des feuilletages totalement géodésiques. Zbl 0534.53031Cairns, Grant 6 1983 all cited Publications top 5 cited Publications all top 5 Cited by 782 Authors 26 Shi, Yuming 19 Cairns, Grant 19 Chen, Guanrong 15 Wu, Xinxing 14 Li, Risong 14 Peris, Alfredo 11 Lu, Tianxiu 11 Shi, Enhui 10 Fulek, Radoslav 10 Martínez-Giménez, Félix 9 Li, Zongcheng 9 Murillo-Arcila, Marina 8 Mai, Jiehua 8 Nikolayevsky, Yuri 8 Schaefer, Marcus 7 Cattaneo, Gianpiero 7 Conejero, José Alberto 7 Liang, Wei 7 Zhang, Xu 6 Ho, Nhan Bao 6 Huang, Yu 6 Kolesov, Andreĭ Yur’evich 6 Langevin, Rémi 6 Margara, Luciano 6 Oprocha, Piotr 6 Pach, János 6 Pelsmajer, Michael J. 6 Rozov, Nikolaĭ Khristovich 6 Steele, Timothy H. 6 Wolak, Robert A. 5 Bahabadi, Alireza Zamani 5 Dai, Xiongping 5 Das, Ruchi 5 Glyzin, Sergeĭ Dmitrievich 5 Guyeux, Christophe 5 Hou, Bingzhe 5 Kyncl, Jan 5 Liao, Gongfu 5 Lizama, Carlos 5 Miller, Alica 5 Štefankovič, Daniel 5 Walczak, Paweł Grzegorz 5 Wang, Lidong 5 Wang, Suhua 5 Zhang, Lijuan 4 Aebi, Christian 4 Gu, Rongbao 4 Il’yutko, Denis Petrovich 4 Intissar, Abdelkader 4 Javaheri, Mohammad 4 Kwietniak, Dominik 4 Prieto, José Ignacio Royo 4 Román-Flores, Heriberto E. 4 Seoane-Sepúlveda, Juan Benigno 4 Tian, Chuanjun 4 Tirao, Paulo 4 Wang, Huoyun 4 Zeng, Fanping 4 Zhu, Peiyong 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 Honary, Bahman 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 Macías, Sergio 3 Mangang, Khundrakpam Binod 3 Manturov, Vassiliĭ Olegovich 3 Morales, Carlos Arnoldo 3 Nagar, Anima 3 Nikolaevskiĭ, Yuriĭ A. 3 Nikonorov, Yurii Gennadyevich 3 Niu, Yingxuan 3 Nozawa, Hiraku 3 Pouseele, Hannes 3 Rodríguez, José Angel 3 Rovenskiĭ, Vladimir Yuzefovich 3 Sanchis, Manuel 3 Saralegi-Aranguren, Martintxo 3 Sarizadeh, Aliasghar 3 Schneider, Friedrich Martin 3 Tóth, Géza 3 Turaev, Vladimir Georgievich 3 Wang, Xiong 3 Wang, Yangeng ...and 682 more Authors all top 5 Cited in 203 Serials 53 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 41 Chaos, Solitons and Fractals 35 Topology and its Applications 33 Journal of Mathematical Analysis and Applications 19 Proceedings of the American Mathematical Society 18 Journal of Difference Equations and Applications 11 Semigroup Forum 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Theoretical Computer Science 9 Chaos 8 Journal of Knot Theory and its Ramifications 7 Bulletin of the Australian Mathematical Society 6 Discrete Mathematics 6 Journal of Mathematical Physics 6 Geometriae Dedicata 6 Discrete & Computational Geometry 6 Journal of Mathematical Sciences (New York) 6 Discrete and Continuous Dynamical Systems 6 Journal of Dynamical and Control Systems 5 American Mathematical Monthly 5 Journal of Differential Equations 5 Annals of Global Analysis and Geometry 5 The Electronic Journal of Combinatorics 5 Acta Mathematica Sinica. English Series 5 Communications in Nonlinear Science and Numerical Simulation 5 Dynamical Systems 5 Journal of Dynamical Systems and Geometric Theories 5 Advances in Difference Equations 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 Indagationes Mathematicae. New Series 4 Abstract and Applied Analysis 4 Qualitative Theory of Dynamical Systems 4 Bulletin of the Brazilian Mathematical Society. New Series 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Archiv der Mathematik 3 Mathematische Zeitschrift 3 Ergodic Theory and Dynamical Systems 3 Physica D 3 The Australasian Journal of Combinatorics 3 Russian Mathematics 3 Regular and Chaotic Dynamics 3 Differential Equations 3 Discrete and Continuous Dynamical Systems. Series B 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Complex Analysis and Operator Theory 2 Applicable Analysis 2 Communications in Algebra 2 Discrete Applied Mathematics 2 International Journal of General Systems 2 Israel Journal of Mathematics 2 Mathematical Notes 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 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 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 JP Journal of Algebra, Number Theory and Applications 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 2 European Journal of Mathematics 1 Artificial Intelligence 1 Communications in Mathematical Physics 1 Journal of Fluid Mechanics 1 Journal of the Franklin Institute 1 Letters in Mathematical Physics 1 Linear and Multilinear Algebra 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Physics Letters. A 1 Russian Mathematical Surveys 1 Studia Mathematica ...and 103 more Serials all top 5 Cited in 52 Fields 365 Dynamical systems and ergodic theory (37-XX) 129 General topology (54-XX) 62 Differential geometry (53-XX) 59 Combinatorics (05-XX) 56 Manifolds and cell complexes (57-XX) 51 Operator theory (47-XX) 40 Computer science (68-XX) 29 Difference and functional equations (39-XX) 26 Nonassociative rings and algebras (17-XX) 22 Ordinary differential equations (34-XX) 18 Number theory (11-XX) 16 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Measure and integration (28-XX) 13 Partial differential equations (35-XX) 12 Group theory and generalizations (20-XX) 11 Functional analysis (46-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Topological groups, Lie groups (22-XX) 10 Information and communication theory, circuits (94-XX) 9 Real functions (26-XX) 8 Biology and other natural sciences (92-XX) 8 Systems theory; control (93-XX) 7 Convex and discrete geometry (52-XX) 7 Algebraic topology (55-XX) 7 Probability theory and stochastic processes (60-XX) 7 Quantum theory (81-XX) 6 Mathematical logic and foundations (03-XX) 6 Algebraic geometry (14-XX) 6 Functions of a complex variable (30-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Mechanics of particles and systems (70-XX) 5 Numerical analysis (65-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Associative rings and algebras (16-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Mechanics of deformable solids (74-XX) 3 Fluid mechanics (76-XX) 3 Relativity and gravitational theory (83-XX) 3 Operations research, mathematical programming (90-XX) 2 History and biography (01-XX) 2 Geometry (51-XX) 1 General and overarching topics; collections (00-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) Citations by Year