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Tabachnikov, Serge L.

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Author ID: tabachnikov.serge-l Recent zbMATH articles by "Tabachnikov, Serge L."
Published as: Tabachnikov, Serge; Tabachnikov, Sergei; Tabachnikov, S. L.; Tabachnikov, S.; Tabachnikov, Serge L.
Homepage: http://www.personal.psu.edu/sot2/
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Co-Authors

73 single-authored
17 Ovsienko, Valentin Yu.
12 Fuchs, Dmitry Borisovich
10 Khesin, Boris A.
8 Schwartz, Richard Evan
4 Izmestiev, Ivan
4 Levi, Mark L.
4 Morier-Genoud, Sophie
4 Tsukerman, Emmanuel
3 Arnold, Maxim
3 Farber, Michael S.
3 Sosinskiĭ, Alekseĭ Bronislavovich
2 Albers, Peter
2 Astashkevich, Alexander
2 Dogru, Filiz
2 Gekhtman, Mikhaèl I.
2 Genin, Daniel
2 Ghys, Étienne
2 Gutkin, Eugene
2 Katok, Svetlana R.
2 Matveev, Vladimir S.
2 Miranda, Eva
2 Schleicher, Dierk
2 Shapiro, Michael Z.
2 Vainshtein, Alek
1 Andler, Martin
1 Aougab, Tarik
1 Berry, Michael Victor
1 Bialy, Misha
1 Blagojević, Pavle V. M.
1 Bolsinov, Alexey V.
1 Bor, Gil
1 Burago, Dmitri
1 Davis, Diana
1 Feĭgin, Boris L’vovich
1 Fialowski, Alice
1 Foote, Robert L.
1 Fuchs, Ekaterina
1 Fuchs, Elena D.
1 Ghomi, Mohammad
1 Glutsyuk, Aleksei A.
1 Hofer, Helmut H. W.
1 Ilyashenko, Yulij Sergeevich
1 Ivanov, Dennis
1 Ivanov, Sergei Vladimirovich
1 Khovanskiĭ, Askold Georgievich
1 Kirillov, Alexandre Aleksandrovich
1 Kleptsyn, Victor A.
1 Malikov, Fyodor
1 Masur, Howard A.
1 McDuff, Dusa
1 McFaden, Harold
1 Mironov, Andreĭ Evgen’evich
1 Parshall, Karen Hunger
1 Perline, Ron
1 Plakhov, A. Yu
1 Przybylska, Maria
1 Retakh, Vladimir Solomonovich
1 Roger, Claude
1 Rubtsov, Vladimir Nikolaevich
1 Ruiz-Hernández, Gabriel
1 Saul, Mark E.
1 Schwarz, Albert S.
1 Senechal, Marjorie Wikler
1 Sevryuk, Mikhail Borisovich
1 Smale, Steve
1 Stojanovic, Gordana
1 Sun, Xidian
1 Timorin, Vladlen Anatol’evich
1 Trench, William F.
1 Treshchev, Dmitriĭ Valer’evich
1 Troubetzkoy, Serge Eugene
1 Varchenko, Alexander Nikolaevich
1 Vasil’ev, Viktor Anatol’evich
1 Wang, Yuwen
1 Yuzvinsky, Sergey
1 Ziegler, Günter Matthias
all top 5

Serials

15 The Mathematical Intelligencer
11 American Mathematical Monthly
7 Functional Analysis and its Applications
6 Journal of Geometry and Physics
6 Moscow Mathematical Journal
5 Advances in Mathematics
5 Geometriae Dedicata
5 L’Enseignement Mathématique. 2e Série
5 Arnold Mathematical Journal
4 Russian Mathematical Surveys
4 IMRN. International Mathematics Research Notices
4 Notices of the American Mathematical Society
4 Regular and Chaotic Dynamics
3 Discrete & Computational Geometry
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 Mathematical World
3 Journal of Fixed Point Theory and Applications
2 Israel Journal of Mathematics
2 Commentarii Mathematici Helvetici
2 Mathematische Zeitschrift
2 Pacific Journal of Mathematics
2 Topology
2 Bulletin of the American Mathematical Society. New Series
2 Electronic Research Announcements in Mathematical Sciences
2 Translations. Series 2. American Mathematical Society
1 Communications in Mathematical Physics
1 Journal of Statistical Physics
1 Nonlinearity
1 Uspekhi Matematicheskikh Nauk [N. S.]
1 Annales de l’Institut Fourier
1 Bulletin of the London Mathematical Society
1 Duke Mathematical Journal
1 Manuscripta Mathematica
1 Soviet Mathematics. Doklady
1 Ergodic Theory and Dynamical Systems
1 Differential Geometry and its Applications
1 Geometric and Functional Analysis. GAFA
1 Serdica
1 Journal of Knot Theory and its Ramifications
1 Experimental Mathematics
1 The Electronic Journal of Combinatorics
1 Selecta Mathematica. New Series
1 Mathematical Research Letters
1 Discrete and Continuous Dynamical Systems
1 European Mathematical Society Newsletter
1 Publicaciones Matemáticas del Uruguay
1 Algebras and Representation Theory
1 Journal of Dynamical and Control Systems
1 Advances in Geometry
1 Algebraic & Geometric Topology
1 Oberwolfach Reports
1 Cambridge Tracts in Mathematics
1 Proceedings of the Steklov Institute of Mathematics
1 Panoramas et Synthèses
1 Student Mathematical Library
1 Functional Analysis and Other Mathematics
1 Journal of Modern Dynamics
1 Journal of Topology and Analysis
1 Forum of Mathematics, Sigma
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Journal of Integrable Systems
1 Springer-Lehrbuch

Publications by Year

Citations contained in zbMATH Open

116 Publications have been cited 1,225 times in 809 Documents Cited by Year
Rational billiards and flat structures. Zbl 1057.37034
Masur, Howard; Tabachnikov, Serge
131
2002
Geometry and billiards. Zbl 1119.37001
Tabachnikov, Serge
102
2005
Projective differential geometry old and new. From the Schwarzian derivative to the cohomology of diffeomorphism groups. Zbl 1073.53001
Ovsienko, V.; Tabachnikov, S.
88
2005
Topological robotics: Motion planning in projective spaces. Zbl 1030.68089
Farber, Michael; Tabachnikov, Serge; Yuzvinsky, Sergey
46
2003
Invariants of Legendrian and transverse knots in the standard contact space. Zbl 0904.57006
Fuchs, Dmitry; Tabachnikov, Serge
44
1997
Billiards. Zbl 0833.58001
Tabachnikov, Serge
43
1995
The pentagram map: a discrete integrable system. Zbl 1209.37063
Ovsienko, Valentin; Schwartz, Richard; Tabachnikov, Serge
37
2010
Pseudo-Riemannian geodesics and billiards. Zbl 1173.37037
Khesin, Boris; Tabachnikov, Serge
36
2009
Mathematical omnibus. Thirty lectures on classic mathematics. Zbl 1318.00004
Fuchs, Dmitry; Tabachnikov, Serge
31
2007
On the dual billiard problem. Zbl 0846.58038
Tabachnikov, S.
31
1995
What is... the Schwarzian derivative? Zbl 1176.53002
Ovsienko, Valentin; Tabachnikov, Sergei
29
2009
The Poncelet grid billiards in ellipses. Zbl 1140.51014
Levi, Mark; Tabachnikov, Serge
25
2007
Liouville-Arnold integrability of the pentagram map on closed polygons. Zbl 1315.37035
Ovsienko, Valentin; Schwartz, Richard Evan; Tabachnikov, Serge
22
2013
2-frieze patterns and the cluster structure of the space of polygons. Zbl 1290.13014
Morier-Genoud, Sophie; Ovsienko, Valentin; Tabachnikov, Serge
20
2012
Geodesics on an ellipsoid in Minkowski space. Zbl 1144.37013
Genin, Daniel; Khesin, Boris; Tabachnikov, Serge
19
2007
Tractrices, bicycle tire tracks, hatchet planimeters, and a 100-year-old conjecture. Zbl 1271.70025
Foote, Robert; Levi, Mark; Tabachnikov, Serge
17
2013
Topology of cylic configuration spaces and periodic trajectories of multi-dimensional billiards. Zbl 1006.37038
Farber, Michael; Tabachnikov, Serge
15
2002
Higher pentagram maps, weighted directed networks, and cluster dynamics. Zbl 1278.37047
Gekhtman, Michael; Shapiro, Michael; Tabachnikov, Serge; Vainshtein, Alek
15
2012
Elementary surprises in projective geometry. Zbl 1204.51024
Schwartz, Richard Evan; Tabachnikov, Serge
14
2010
Projectively equivalent metrics, exact transverse line fields and the geodesic flow on the ellipsoid. Zbl 0958.37008
Tabachnikov, Serge
14
1999
Ivory’s theorem revisited. Zbl 1401.37062
Izmestiev, Ivan; Tabachnikov, Serge
14
2017
Billiards in Finsler and Minkowski geometries. Zbl 1022.70009
Gutkin, Eugene; Tabachnikov, Serge
14
2002
Dual billiards. Zbl 1088.37014
Dogru, Filiz; Tabachnikov, Serge
14
2005
Integrable cluster dynamics of directed networks and pentagram maps. Zbl 1360.37148
Gekhtman, Michael; Shapiro, Michael; Tabachnikov, Serge; Vainshtein, Alek
13
2016
Estimates for the Bennequin number of Legendrian links from state models for knot polynomials. Zbl 0877.57001
Tabachnikov, Serge
13
1997
Linear difference equations, frieze patterns, and the combinatorial Gale transform. Zbl 1297.39004
Morier-Genoud, Sophie; Ovsienko, Valentin; Schwartz, Richard Evan; Tabachnikov, Serge
13
2014
On algebraically integrable outer billiards. Zbl 1250.37022
Tabachnikov, Serge
12
2008
Centers of mass of Poncelet polygons, 200 years after. Zbl 1351.01013
Schwartz, Richard; Tabachnikov, Sergei
11
2016
Totally skew embeddings of manifolds. Zbl 1140.53003
Ghomi, Mohammad; Tabachnikov, Serge
11
2008
Tire track geometry: variations on a theme. Zbl 1124.52005
Tabachnikov, Serge
11
2006
Sturm theory, Ghys theorem on zeroes of the Schwarzian derivative and flattening of Legendrian curves. Zbl 0972.58003
Ovsienko, Valentin; Tabachnikov, Serge
10
1996
On bicycle tire tracks geometry, Hatchet planimeter, Menzin’s conjecture, and oscillation of unicycle tracks. Zbl 1185.37146
Levi, Mark; Tabachnikov, Serge
9
2009
More on paperfolding. Zbl 1037.53501
Fuchs, Dmitry; Tabachnikov, Serge
9
1999
\(\mathrm{SL}_2(\mathbb{Z})\)-tilings of the torus, Coxeter-Conway friezes and Farey triangulations. Zbl 1331.05022
Morier-Genoud, Sophie; Ovsienko, Valentin; Tabachnikov, Serge
9
2015
Osculating curves: around the Tait-Kneser theorem. Zbl 1294.53003
Ghys, Étienne; Tabachnikov, Sergei; Timorin, Vladlen
9
2013
Contact complete integrability. Zbl 1203.37094
Khesin, B.; Tabachnikov, Serge
8
2010
On configuration spaces of plane polygons, sub-Riemannian geometry and periodic orbits of outer billiards. Zbl 1139.53017
Genin, Daniel; Tabachnikov, Serge
8
2007
Around four vertices. Zbl 0704.53002
Tabachnikov, S. L.
8
1990
Poncelet’s theorem and dual billiards. Zbl 0804.58020
Tabachnikov, Serge
8
1993
Self-dual polygons and self-dual curves. Zbl 1180.51012
Fuchs, Dmitry; Tabachnikov, Serge
8
2009
Open problems, questions and challenges in finite- dimensional integrable systems. Zbl 1407.53089
Bolsinov, Alexey; Matveev, Vladimir S.; Miranda, Eva; Tabachnikov, Serge
8
2018
Parametrized plane curves, Minkowski caustics, Minkowski vertices and conservative line fields. Zbl 1066.53501
Tabachnikov, Serge
7
1997
On skew loops, skew branes and quadratic hypersurfaces. Zbl 1050.53010
Tabachnikov, Serge
6
2003
Remarks on magnetic flows and magnetic billiards, Finsler metrics and a magnetic analog of Hilbert’s fourth problem. Zbl 1148.37308
Tabachnikov, Serge
6
2004
Quasiperiodic motion for the pentagram map. Zbl 1163.37019
Ovsienko, Valentin; Schwartz, Richard; Tabachnikov, Serge
6
2009
Dual billiards. Zbl 0834.52002
Tabachnikov, S.
6
1993
The four-vertex theorem revisited – two variations on the old theme. Zbl 0842.53003
Tabachnikov, Serge
6
1995
Non-existence of \(n\)-dimensional \(T\)-embedded discs in \(\mathbb R^{2n}\). Zbl 1107.53005
Stojanovic, Gordana; Tabachnikov, Serge
6
2006
Ellipsoids, complete integrability and hyperbolic geometry. Zbl 1013.37029
Tabachnikov, Serge
6
2002
Iterating evolutes and involutes. Zbl 1381.51007
Arnold, Maxim; Fuchs, Dmitry; Izmestiev, Ivan; Tabachnikov, Serge; Tsukerman, Emmanuel
5
2017
Two remarks on the asymptotic Hopf invariant. Zbl 0712.55010
Tabachnikov, S. L.
5
1990
Commuting dual billiard maps. Zbl 0813.52003
Tabachnikov, Serge
5
1994
Fagnano orbits of polygonal dual billiards. Zbl 0958.52003
Tabachnikov, Serge
5
1999
Dual billiards in the hyperbolic plane. Zbl 1055.37039
Tabachnikov, Serge
5
2002
Asymptotic dynamics of the dual billiard transformation. Zbl 1081.37531
Tabachnikov, Serge
5
1996
On fibrations with flat fibres. Zbl 1309.57024
Ovsienko, Valentin; Tabachnikov, Serge
5
2013
On three-periodic trajectories of multi-dimensional dual billiards. Zbl 1026.37055
Tabachnikov, Serge
4
2003
Topological aspects of the Dvoretzky theorem. Zbl 1222.52004
Burago, Dmitri; Ivanov, Sergei; Tabachnikov, Serge
4
2010
A proof of Culter’s theorem on the existence of periodic orbits in polygonal outer billiards. Zbl 1131.37039
Tabachnikov, Serge
4
2007
Computation of the Bennequin invariant of a Legendre curve from the geometry of its wave front. Zbl 0724.58029
Tabachnikov, S. L.
4
1988
On polygonal dual billiard in the hyperbolic plane. Zbl 1075.37524
Dogru, Filiz; Tabachnikov, Serge
4
2003
Complexity of piecewise convex transformations in two dimensions, with applications to polygonal billiards on surfaces of constant curvature. Zbl 1123.53043
Gutkin, Eugene; Tabachnikov, Serge
4
2006
Introducing projective billiards. Zbl 0886.58064
Tabachnikov, Serge
4
1997
Kasner meets Poncelet. Zbl 1458.51003
Tabachnikov, Serge
4
2019
A four vertex theorem for polygons. Zbl 0988.52005
Tabachnikov, Serge
4
2000
Circumcenter of mass and generalized Euler line. Zbl 1301.51023
Tabachnikov, Serge; Tsukerman, Emmanuel
4
2014
Hopf fibrations and Hurwitz-Radon numbers. Zbl 1372.55001
Ovsienko, Valentin; Tabachnikov, Serge
4
2016
Introducing supersymmetric frieze patterns and linear difference operators. Zbl 1350.14038
Morier-Genoud, Sophie; Ovsienko, Valentin; Tabachnikov, Serge
4
2015
The pentagram integrals on inscribed polygons. Zbl 1246.37091
Schwartz, Richard Evan; Tabachnikov, Serge
4
2011
Billiard transformations of parallel flows: a periscope theorem. Zbl 1373.49053
Plakhov, Alexander; Tabachnikov, Serge; Treschev, Dmitry
4
2017
Periodic trajectories in the regular pentagon. Zbl 1276.37033
Davis, Diana; Fuchs, Dmitry; Tabachnikov, Serge
4
2011
Projective geometry of polygons and discrete 4-vertex and 6-vertex theorems. Zbl 1060.53010
Ovsienko, Valentin; Tabachnikov, Serge
3
2001
Characteristic classes of Grassmannian bundles. Zbl 0575.57018
Tabachnikov, S. L.
3
1985
Exact transverse line fields and projective billiards in a ball. Zbl 0970.37042
Tabachnikov, S.
3
1997
Birkhoff billiards are insecure. Zbl 1160.37025
Tabachnikov, Serge
3
2009
The tale of a geometric inequality. Zbl 1093.53001
Tabachnikov, Serge
3
2003
Periodic trajectories in 3-dimensional convex billiards. Zbl 1087.37052
Farber, Michael; Tabachnikov, Serge
3
2002
Wire billiards, the first steps. Zbl 1477.37035
Bialy, Misha; Mironov, Andrey E.; Tabachnikov, Serge
3
2020
Arnold: swimming against the tide. Zbl 1305.01045
3
2014
On the discrete bicycle transformation. Zbl 1317.51027
Tabachnikov, S.; Tsukerman, E.
3
2013
Coxeter’s frieze patterns and discretization of the Virasoro orbit. Zbl 1339.58002
Ovsienko, Valentin; Tabachnikov, Serge
3
2015
The (un)equal tangents problem. Zbl 1269.52005
Tabachnikov, Serge
3
2012
Introducing symplectic billiards. Zbl 1394.37098
Albers, Peter; Tabachnikov, Serge
3
2018
Four equivalent properties of integrable billiards. Zbl 1470.37079
Glutsyuk, Alexei; Izmestiev, Ivan; Tabachnikov, Serge
3
2021
An invariant of a submanifold transversal to a distribution. Zbl 0649.57029
Tabachnikov, S. L.
2
1988
Hyperbolic Carathéodory conjecture. Zbl 1163.53004
Ovsienko, V.; Tabachnikov, S.
2
2007
Geometry of Lagrangian and Legendrian 2-web. Zbl 0789.53019
Tabachnikov, Serge
2
1993
On functions with zero mean over a finite group. Zbl 0924.28015
Tabachnikov, S. L.
2
1997
On zeros of the Schwarzian derivative. Zbl 0889.58015
Tabachnikov, Serge
2
1997
Invariants of smooth triple point free plane curves. Zbl 0893.57004
Tabachnikov, Serge
2
1996
Going in circles: Variations on the Money-Coutts theorem. Zbl 0960.51008
Tabachnikov, Serge
2
2000
Configuration spaces of plane polygons and a sub-Riemannian approach to the equitangent problem. Zbl 1338.53006
Jerónimo-Castro, Jesús; Tabachnikov, Serge
2
2016
Remarks on the circumcenter of mass. Zbl 1331.51016
Tabachnikov, Serge; Tsukerman, Emmanuel
2
2015
On the bicycle transformation and the filament equation: results and conjectures. Zbl 1375.37159
Tabachnikov, Serge
2
2017
The equal tangents property. Zbl 1294.52004
Jerónimo-Castro, Jesús; Ruiz-Hernández, Gabriel; Tabachnikov, Sergei
2
2014
Skewers. Zbl 1343.51004
Tabachnikov, Serge
1
2016
Existence and nonexistence of skew branes. Zbl 1205.53060
Tabachnikov, Serge
1
2010
An invariant of a submanifold transversal to a distribution. Zbl 0667.57017
Tabachnikov, S. L.
1
1988
Characteristic classes of Lagrangian foliations. Zbl 0708.53036
Tabachnikov, S. L.
1
1989
A cone eversion. Zbl 0827.53005
Tabachnikov, S.
1
1995
Four equivalent properties of integrable billiards. Zbl 1470.37079
Glutsyuk, Alexei; Izmestiev, Ivan; Tabachnikov, Serge
3
2021
Remarks on Joachimsthal integral and Poritsky property. Zbl 1485.37022
Arnold, Maxim; Tabachnikov, Serge
1
2021
Wire billiards, the first steps. Zbl 1477.37035
Bialy, Misha; Mironov, Andrey E.; Tabachnikov, Serge
3
2020
Tire tracks and integrable curve evolution. Zbl 1479.70036
Bor, Gil; Levi, Mark; Perline, Ron; Tabachnikov, Sergei
1
2020
Kasner meets Poncelet. Zbl 1458.51003
Tabachnikov, Serge
4
2019
Fun problems in geometry and beyond. Zbl 1431.00002
Khesin, Boris; Tabachnikov, Serge
1
2019
Projective configuration theorems: old wine into new wineskins. Zbl 1451.51001
Tabachnikov, Serge
1
2019
Open problems, questions and challenges in finite- dimensional integrable systems. Zbl 1407.53089
Bolsinov, Alexey; Matveev, Vladimir S.; Miranda, Eva; Tabachnikov, Serge
8
2018
Introducing symplectic billiards. Zbl 1394.37098
Albers, Peter; Tabachnikov, Serge
3
2018
Dual numbers, weighted quivers, and extended Somos and Gale-Robinson sequences. Zbl 1423.11031
Ovsienko, Valentin; Tabachnikov, Serge
1
2018
Ivory’s theorem revisited. Zbl 1401.37062
Izmestiev, Ivan; Tabachnikov, Serge
14
2017
Iterating evolutes and involutes. Zbl 1381.51007
Arnold, Maxim; Fuchs, Dmitry; Izmestiev, Ivan; Tabachnikov, Serge; Tsukerman, Emmanuel
5
2017
Billiard transformations of parallel flows: a periscope theorem. Zbl 1373.49053
Plakhov, Alexander; Tabachnikov, Serge; Treschev, Dmitry
4
2017
On the bicycle transformation and the filament equation: results and conjectures. Zbl 1375.37159
Tabachnikov, Serge
2
2017
Integrable cluster dynamics of directed networks and pentagram maps. Zbl 1360.37148
Gekhtman, Michael; Shapiro, Michael; Tabachnikov, Serge; Vainshtein, Alek
13
2016
Centers of mass of Poncelet polygons, 200 years after. Zbl 1351.01013
Schwartz, Richard; Tabachnikov, Sergei
11
2016
Hopf fibrations and Hurwitz-Radon numbers. Zbl 1372.55001
Ovsienko, Valentin; Tabachnikov, Serge
4
2016
Configuration spaces of plane polygons and a sub-Riemannian approach to the equitangent problem. Zbl 1338.53006
Jerónimo-Castro, Jesús; Tabachnikov, Serge
2
2016
Skewers. Zbl 1343.51004
Tabachnikov, Serge
1
2016
The six circles theorem revisited. Zbl 1391.51012
Ivanov, Dennis; Tabachnikov, Serge
1
2016
\(\mathrm{SL}_2(\mathbb{Z})\)-tilings of the torus, Coxeter-Conway friezes and Farey triangulations. Zbl 1331.05022
Morier-Genoud, Sophie; Ovsienko, Valentin; Tabachnikov, Serge
9
2015
Introducing supersymmetric frieze patterns and linear difference operators. Zbl 1350.14038
Morier-Genoud, Sophie; Ovsienko, Valentin; Tabachnikov, Serge
4
2015
Coxeter’s frieze patterns and discretization of the Virasoro orbit. Zbl 1339.58002
Ovsienko, Valentin; Tabachnikov, Serge
3
2015
Remarks on the circumcenter of mass. Zbl 1331.51016
Tabachnikov, Serge; Tsukerman, Emmanuel
2
2015
On curves and polygons with the equiangular chord property. Zbl 1386.37038
Aougab, Tarik; Sun, Xidian; Tabachnikov, Serge; Wang, Yuwen
1
2015
A baker’s dozen of problems. Zbl 1326.53006
Tabachnikov, Serge
1
2015
Linear difference equations, frieze patterns, and the combinatorial Gale transform. Zbl 1297.39004
Morier-Genoud, Sophie; Ovsienko, Valentin; Schwartz, Richard Evan; Tabachnikov, Serge
13
2014
Circumcenter of mass and generalized Euler line. Zbl 1301.51023
Tabachnikov, Serge; Tsukerman, Emmanuel
4
2014
Arnold: swimming against the tide. Zbl 1305.01045
3
2014
The equal tangents property. Zbl 1294.52004
Jerónimo-Castro, Jesús; Ruiz-Hernández, Gabriel; Tabachnikov, Sergei
2
2014
Dragon curves revisited. Zbl 1295.28013
Tabachnikov, Sergei
1
2014
Liouville-Arnold integrability of the pentagram map on closed polygons. Zbl 1315.37035
Ovsienko, Valentin; Schwartz, Richard Evan; Tabachnikov, Serge
22
2013
Tractrices, bicycle tire tracks, hatchet planimeters, and a 100-year-old conjecture. Zbl 1271.70025
Foote, Robert; Levi, Mark; Tabachnikov, Serge
17
2013
Osculating curves: around the Tait-Kneser theorem. Zbl 1294.53003
Ghys, Étienne; Tabachnikov, Sergei; Timorin, Vladlen
9
2013
On fibrations with flat fibres. Zbl 1309.57024
Ovsienko, Valentin; Tabachnikov, Serge
5
2013
On the discrete bicycle transformation. Zbl 1317.51027
Tabachnikov, S.; Tsukerman, E.
3
2013
Periodic trajectories in the regular pentagon. II. Zbl 1347.37066
Fuchs, Dmitry; Tabachnikov, Serge
1
2013
2-frieze patterns and the cluster structure of the space of polygons. Zbl 1290.13014
Morier-Genoud, Sophie; Ovsienko, Valentin; Tabachnikov, Serge
20
2012
Higher pentagram maps, weighted directed networks, and cluster dynamics. Zbl 1278.37047
Gekhtman, Michael; Shapiro, Michael; Tabachnikov, Serge; Vainshtein, Alek
15
2012
The (un)equal tangents problem. Zbl 1269.52005
Tabachnikov, Serge
3
2012
Discrete spherical means of directional derivatives and Veronese maps. Zbl 1239.65019
Belyaev, Alexander; Khesin, Boris; Tabachnikov, Serge
1
2012
The pentagram integrals on inscribed polygons. Zbl 1246.37091
Schwartz, Richard Evan; Tabachnikov, Serge
4
2011
Periodic trajectories in the regular pentagon. Zbl 1276.37033
Davis, Diana; Fuchs, Dmitry; Tabachnikov, Serge
4
2011
Variations on R. Schwartz’s inequality for the Schwarzian derivative. Zbl 1243.52006
Tabachnikov, Serge
1
2011
The pentagram map: a discrete integrable system. Zbl 1209.37063
Ovsienko, Valentin; Schwartz, Richard; Tabachnikov, Serge
37
2010
Elementary surprises in projective geometry. Zbl 1204.51024
Schwartz, Richard Evan; Tabachnikov, Serge
14
2010
Contact complete integrability. Zbl 1203.37094
Khesin, B.; Tabachnikov, Serge
8
2010
Topological aspects of the Dvoretzky theorem. Zbl 1222.52004
Burago, Dmitri; Ivanov, Sergei; Tabachnikov, Serge
4
2010
Existence and nonexistence of skew branes. Zbl 1205.53060
Tabachnikov, Serge
1
2010
Pseudo-Riemannian geodesics and billiards. Zbl 1173.37037
Khesin, Boris; Tabachnikov, Serge
36
2009
What is... the Schwarzian derivative? Zbl 1176.53002
Ovsienko, Valentin; Tabachnikov, Sergei
29
2009
On bicycle tire tracks geometry, Hatchet planimeter, Menzin’s conjecture, and oscillation of unicycle tracks. Zbl 1185.37146
Levi, Mark; Tabachnikov, Serge
9
2009
Self-dual polygons and self-dual curves. Zbl 1180.51012
Fuchs, Dmitry; Tabachnikov, Serge
8
2009
Quasiperiodic motion for the pentagram map. Zbl 1163.37019
Ovsienko, Valentin; Schwartz, Richard; Tabachnikov, Serge
6
2009
Birkhoff billiards are insecure. Zbl 1160.37025
Tabachnikov, Serge
3
2009
On algebraically integrable outer billiards. Zbl 1250.37022
Tabachnikov, Serge
12
2008
Totally skew embeddings of manifolds. Zbl 1140.53003
Ghomi, Mohammad; Tabachnikov, Serge
11
2008
Mathematical omnibus. Thirty lectures on classic mathematics. Zbl 1318.00004
Fuchs, Dmitry; Tabachnikov, Serge
31
2007
The Poncelet grid billiards in ellipses. Zbl 1140.51014
Levi, Mark; Tabachnikov, Serge
25
2007
Geodesics on an ellipsoid in Minkowski space. Zbl 1144.37013
Genin, Daniel; Khesin, Boris; Tabachnikov, Serge
19
2007
On configuration spaces of plane polygons, sub-Riemannian geometry and periodic orbits of outer billiards. Zbl 1139.53017
Genin, Daniel; Tabachnikov, Serge
8
2007
A proof of Culter’s theorem on the existence of periodic orbits in polygonal outer billiards. Zbl 1131.37039
Tabachnikov, Serge
4
2007
Hyperbolic Carathéodory conjecture. Zbl 1163.53004
Ovsienko, V.; Tabachnikov, S.
2
2007
Tire track geometry: variations on a theme. Zbl 1124.52005
Tabachnikov, Serge
11
2006
Non-existence of \(n\)-dimensional \(T\)-embedded discs in \(\mathbb R^{2n}\). Zbl 1107.53005
Stojanovic, Gordana; Tabachnikov, Serge
6
2006
Complexity of piecewise convex transformations in two dimensions, with applications to polygonal billiards on surfaces of constant curvature. Zbl 1123.53043
Gutkin, Eugene; Tabachnikov, Serge
4
2006
Geometry and billiards. Zbl 1119.37001
Tabachnikov, Serge
102
2005
Projective differential geometry old and new. From the Schwarzian derivative to the cohomology of diffeomorphism groups. Zbl 1073.53001
Ovsienko, V.; Tabachnikov, S.
88
2005
Dual billiards. Zbl 1088.37014
Dogru, Filiz; Tabachnikov, Serge
14
2005
Remarks on magnetic flows and magnetic billiards, Finsler metrics and a magnetic analog of Hilbert’s fourth problem. Zbl 1148.37308
Tabachnikov, Serge
6
2004
Topological robotics: Motion planning in projective spaces. Zbl 1030.68089
Farber, Michael; Tabachnikov, Serge; Yuzvinsky, Sergey
46
2003
On skew loops, skew branes and quadratic hypersurfaces. Zbl 1050.53010
Tabachnikov, Serge
6
2003
On three-periodic trajectories of multi-dimensional dual billiards. Zbl 1026.37055
Tabachnikov, Serge
4
2003
On polygonal dual billiard in the hyperbolic plane. Zbl 1075.37524
Dogru, Filiz; Tabachnikov, Serge
4
2003
The tale of a geometric inequality. Zbl 1093.53001
Tabachnikov, Serge
3
2003
Rational billiards and flat structures. Zbl 1057.37034
Masur, Howard; Tabachnikov, Serge
131
2002
Topology of cylic configuration spaces and periodic trajectories of multi-dimensional billiards. Zbl 1006.37038
Farber, Michael; Tabachnikov, Serge
15
2002
Billiards in Finsler and Minkowski geometries. Zbl 1022.70009
Gutkin, Eugene; Tabachnikov, Serge
14
2002
Ellipsoids, complete integrability and hyperbolic geometry. Zbl 1013.37029
Tabachnikov, Serge
6
2002
Dual billiards in the hyperbolic plane. Zbl 1055.37039
Tabachnikov, Serge
5
2002
Periodic trajectories in 3-dimensional convex billiards. Zbl 1087.37052
Farber, Michael; Tabachnikov, Serge
3
2002
Projective geometry of polygons and discrete 4-vertex and 6-vertex theorems. Zbl 1060.53010
Ovsienko, Valentin; Tabachnikov, Serge
3
2001
A four vertex theorem for polygons. Zbl 0988.52005
Tabachnikov, Serge
4
2000
Going in circles: Variations on the Money-Coutts theorem. Zbl 0960.51008
Tabachnikov, Serge
2
2000
Projectively equivalent metrics, exact transverse line fields and the geodesic flow on the ellipsoid. Zbl 0958.37008
Tabachnikov, Serge
14
1999
More on paperfolding. Zbl 1037.53501
Fuchs, Dmitry; Tabachnikov, Serge
9
1999
Fagnano orbits of polygonal dual billiards. Zbl 0958.52003
Tabachnikov, Serge
5
1999
Differential topology, infinite-dimensional Lie algebras, and applications. D. B. Fuchs’ 60th anniversary collection. Zbl 0921.00044
1
1999
Remarks on the geometry of exact transverse line fields. Zbl 0978.53102
Tabachnikov, Serge
1
1999
Appendix: Personal notes. Zbl 0960.01012
Schwarz, Albert; Sossinsky, Alexei; Roger, Claude; Feigin, Boris; Tabachnikov, Sergei; Astashkevich, Alexander
1
1999
Invariants of Legendrian and transverse knots in the standard contact space. Zbl 0904.57006
Fuchs, Dmitry; Tabachnikov, Serge
44
1997
Estimates for the Bennequin number of Legendrian links from state models for knot polynomials. Zbl 0877.57001
Tabachnikov, Serge
13
1997
Parametrized plane curves, Minkowski caustics, Minkowski vertices and conservative line fields. Zbl 1066.53501
Tabachnikov, Serge
7
1997
Introducing projective billiards. Zbl 0886.58064
Tabachnikov, Serge
4
1997
Exact transverse line fields and projective billiards in a ball. Zbl 0970.37042
Tabachnikov, S.
3
1997
On functions with zero mean over a finite group. Zbl 0924.28015
Tabachnikov, S. L.
2
1997
On zeros of the Schwarzian derivative. Zbl 0889.58015
Tabachnikov, Serge
2
1997
Sturm theory, Ghys theorem on zeroes of the Schwarzian derivative and flattening of Legendrian curves. Zbl 0972.58003
Ovsienko, Valentin; Tabachnikov, Serge
10
1996
Asymptotic dynamics of the dual billiard transformation. Zbl 1081.37531
Tabachnikov, Serge
5
1996
Invariants of smooth triple point free plane curves. Zbl 0893.57004
Tabachnikov, Serge
2
1996
...and 16 more Documents
all top 5

Cited by 906 Authors

54 Tabachnikov, Serge L.
19 Ovsienko, Valentin Yu.
13 Dragović, Vladimir
12 Radnović, Milena
10 Bialy, Misha
10 Hooper, W. Patrick
9 Garcia, Ronaldo A.
9 Hubert, Pascal
9 Khesin, Boris A.
9 Nguyen, Duc-Manh
9 Schwartz, Richard Evan
8 Akopyan, Arseniy V.
8 Grant, Mark
8 Mironov, Andreĭ Evgen’evich
8 Morier-Genoud, Sophie
8 Wright, Alex
7 Ghomi, Mohammad
7 Gonzalez, Jesus
7 Gutkin, Eugene
7 Karasev, Roman N.
7 Matveev, Vladimir S.
7 Reznik, Dan S.
7 Troubetzkoy, Serge Eugene
7 Weiss, Barak
6 Craizer, Marcos
6 Farber, Michael S.
6 Fuchs, Dmitry Borisovich
6 Schmidt, Thomas A.
6 Tertychnyĭ, Sergeĭ Ivanovich
6 Umehara, Masaaki
5 Bobenko, Alexander Ivanovich
5 Bukhshtaber, Viktor Matveevich
5 Eskin, Alex
5 Glick, Max
5 Glutsyuk, Alexey A.
5 Kaloshin, Vadim Yu.
5 Marí Beffa, Gloria
5 Masur, Howard A.
5 Oprea, John F.
5 Sorrentino, Alfonso
5 Vandembroucq, Lucile
4 Bibikov, Pavel Vitalievich
4 Blagojević, Pavle V. M.
4 Bouarroudj, Sofiane
4 Davis, Donald M.
4 Dettmann, Carl P.
4 Dranishnikov, Alexander Nikolaevich
4 Duval, Christian
4 Koiller, Jair
4 Lanneau, Erwan
4 Martini, Horst
4 McMullen, Curtis Tracy
4 Möller, Martin
4 Musso, Emilio
4 Pylyavskyy, Pavlo
4 Ramírez-Ros, Rafael
4 Soloviev, Fedor
4 Stachel, Hellmuth
4 Tari, Farid
4 Tsukerman, Emmanuel
3 Athreya, Jayadev S.
3 Balestro, Vitor
3 Baralić, Đorđe
3 Bartoli, Adrien
3 Bédaride, Nicolas
3 Biggs, Adam T.
3 Boissy, Corentin
3 Bunimovich, Leonid Abramovich
3 Casals, Roger
3 Chaika, Jonathan
3 Chernov, Vladimir V.
3 Cohen, Daniel C.
3 Davis, Diana
3 de Lucas, Javier
3 Doubrov, Boris M.
3 Fomenko, Anatoliĭ Timofeevich
3 Forni, Giovanni
3 Frączek, Krzysztof Marek
3 Gasiorek, Sean
3 Izosimov, Anton
3 Jerónimo-Castro, Jesús
3 Jovanović, Božidar Žarko
3 Jovanović, Vladimir
3 Khudaverdian, Hovhannes M.
3 Lenzhen, Anna
3 Lupton, Gregory M.
3 Maillard, Jean-Marie
3 Mirman, Boris
3 Mozgawa, Witold
3 Mukamel, Ronen Eliahu
3 Nicolodi, Lorenzo
3 Ostrover, Yaron
3 Ovenhouse, Nicholas
3 Petrunin, Anton Mikhailovich
3 Plakhov, A. Yu
3 Rafi, Kasra
3 Rudyak, Yuli B.
3 Schief, Wolfgang Karl
3 Schmoll, Martin Johannes
3 Sharir, Micha
...and 806 more Authors
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Cited in 237 Serials

33 Journal of Geometry and Physics
30 Geometriae Dedicata
23 Advances in Mathematics
23 Topology and its Applications
18 Proceedings of the American Mathematical Society
16 The Mathematical Intelligencer
16 Geometry & Topology
14 Communications in Mathematical Physics
14 Duke Mathematical Journal
14 Regular and Chaotic Dynamics
13 Annales de l’Institut Fourier
13 Discrete & Computational Geometry
12 Mathematische Zeitschrift
12 Arnold Mathematical Journal
11 Journal of Mathematical Physics
11 Mathematische Annalen
11 Geometric and Functional Analysis. GAFA
11 Journal of Knot Theory and its Ramifications
11 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
10 Functional Analysis and its Applications
10 Transactions of the American Mathematical Society
9 Journal of Statistical Physics
9 Discrete and Continuous Dynamical Systems
8 Letters in Mathematical Physics
8 Theoretical and Mathematical Physics
8 Ergodic Theory and Dynamical Systems
8 Experimental Mathematics
8 Algebraic & Geometric Topology
7 Israel Journal of Mathematics
7 Nonlinearity
7 Journal of Geometry
7 Dynamical Systems
6 American Mathematical Monthly
6 Inventiones Mathematicae
6 Physica D
6 Bulletin of the American Mathematical Society. New Series
6 Journal of Dynamical and Control Systems
6 Proceedings of the Steklov Institute of Mathematics
6 Journal of Modern Dynamics
5 Journal of Differential Equations
5 Journal of the American Mathematical Society
5 The Journal of Geometric Analysis
5 Conformal Geometry and Dynamics
5 Annals of Mathematics. Second Series
4 Bulletin of the London Mathematical Society
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 European Journal of Combinatorics
4 Linear Algebra and its Applications
4 Expositiones Mathematicae
4 Journal of Algebraic Combinatorics
4 Journal of Mathematical Sciences (New York)
4 Selecta Mathematica. New Series
4 Doklady Mathematics
4 Chaos
4 Journal of Fixed Point Theory and Applications
4 Journal of Physics A: Mathematical and Theoretical
3 Archive for Rational Mechanics and Analysis
3 Discrete Mathematics
3 Journal d’Analyse Mathématique
3 Beiträge zur Algebra und Geometrie
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Journal für die Reine und Angewandte Mathematik
3 Results in Mathematics
3 Annals of Global Analysis and Geometry
3 Computer Aided Geometric Design
3 Forum Mathematicum
3 International Journal of Mathematics
3 Differential Geometry and its Applications
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Journal of Nonlinear Science
3 Journal for Geometry and Graphics
3 Journal of the European Mathematical Society (JEMS)
3 Journal of High Energy Physics
3 Lobachevskii Journal of Mathematics
3 Journal of Nonlinear Mathematical Physics
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Theoretical and Applied Mechanics
3 International Journal of Geometric Methods in Modern Physics
3 Groups, Geometry, and Dynamics
2 Classical and Quantum Gravity
2 Journal of Mathematical Analysis and Applications
2 Moscow University Mathematics Bulletin
2 Nuclear Physics. B
2 Physics Letters. A
2 Russian Mathematical Surveys
2 Commentarii Mathematici Helvetici
2 Compositio Mathematica
2 Journal of Combinatorial Theory. Series A
2 Journal of Functional Analysis
2 Monatshefte für Mathematik
2 Nagoya Mathematical Journal
2 Tôhoku Mathematical Journal. Second Series
2 Bulletin of the Korean Mathematical Society
2 Acta Mathematica Hungarica
2 Journal of Symbolic Computation
2 Elemente der Mathematik
2 L’Enseignement Mathématique. 2e Série
2 Journal of Elasticity
2 Journal of Mathematical Imaging and Vision
2 Topological Methods in Nonlinear Analysis
...and 137 more Serials
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Cited in 55 Fields

320 Dynamical systems and ergodic theory (37-XX)
208 Differential geometry (53-XX)
118 Manifolds and cell complexes (57-XX)
99 Geometry (51-XX)
99 Convex and discrete geometry (52-XX)
70 Algebraic geometry (14-XX)
64 Functions of a complex variable (30-XX)
64 Several complex variables and analytic spaces (32-XX)
60 Mechanics of particles and systems (70-XX)
59 Algebraic topology (55-XX)
54 Global analysis, analysis on manifolds (58-XX)
41 Ordinary differential equations (34-XX)
31 Number theory (11-XX)
31 Computer science (68-XX)
29 Nonassociative rings and algebras (17-XX)
27 Combinatorics (05-XX)
26 Commutative algebra (13-XX)
26 Partial differential equations (35-XX)
22 Statistical mechanics, structure of matter (82-XX)
18 Quantum theory (81-XX)
15 Difference and functional equations (39-XX)
14 Group theory and generalizations (20-XX)
14 Relativity and gravitational theory (83-XX)
11 General and overarching topics; collections (00-XX)
11 History and biography (01-XX)
11 Topological groups, Lie groups (22-XX)
10 Special functions (33-XX)
9 Functional analysis (46-XX)
9 Numerical analysis (65-XX)
9 Optics, electromagnetic theory (78-XX)
8 Measure and integration (28-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Operator theory (47-XX)
6 Fluid mechanics (76-XX)
5 Real functions (26-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
4 Systems theory; control (93-XX)
3 Associative rings and algebras (16-XX)
3 Probability theory and stochastic processes (60-XX)
3 Mechanics of deformable solids (74-XX)
2 Field theory and polynomials (12-XX)
2 Approximations and expansions (41-XX)
2 Integral transforms, operational calculus (44-XX)
2 General topology (54-XX)
2 Statistics (62-XX)
2 Geophysics (86-XX)
2 Operations research, mathematical programming (90-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Mathematics education (97-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Potential theory (31-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral equations (45-XX)
1 Astronomy and astrophysics (85-XX)

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