Edit Profile Tabachnikov, Serge L. Compute Distance To: Compute Author ID: tabachnikov.serge-l Published as: Tabachnikov, S.; Tabachnikov, S. L.; Tabachnikov, Serge; Tabachnikov, Serge L.; Tabachnikov, Sergei Homepage: http://www.personal.psu.edu/sot2/ External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND Documents Indexed: 154 Publications since 1983, including 14 Books all top 5 Co-Authors 73 single-authored 17 Ovsienko, Valentin Yu. 10 Fuchs, Dmitry Borisovich 9 Khesin, Boris A. 8 Schwartz, Richard Evan 4 Morier-Genoud, Sophie 4 Tsukerman, Emmanuel 3 Farber, Michael S. 3 Izmestiev, Ivan 3 Levi, Mark L. 3 Sosinskiĭ, Alekseĭ Bronislavovich 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 Albers, Peter 1 Andler, Martin 1 Aougab, Tarik 1 Arnold, Maxim 1 Belyaev, Alexander G. 1 Berry, Michael Victor 1 Bialy, Misha 1 Blagojević, Pavle V. M. 1 Bolsinov, Alexey V. 1 Burago, Dmitri 1 Castro, Jesús Jerónimo 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, Alexei 1 Harrison, Michael J. 1 Ivanov, Dennis 1 Ivanov, Sergei Vladimirovich 1 Jerónimo-Castro, Jesús 1 Khovanskiĭ, Askold Georgievich 1 Kirillov, Alexandre Aleksandrovich 1 Kleptsyn, Victor A. 1 Malikov, Fyodor 1 Masur, Howard A. 1 McDuff, Dusa 1 Mironov, Andreĭ Evgen’evich 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 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 Wang, Yuwen 1 Yuzvinsky, Sergey 1 Ziegler, Günter Matthias all top 5 Serials 14 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 4 Russian Mathematical Surveys 4 Arnold Mathematical Journal 3 Discrete & Computational Geometry 3 Notices of the American Mathematical Society 3 Regular and Chaotic Dynamics 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Mathematical World 2 Israel Journal of Mathematics 2 Commentarii Mathematici Helvetici 2 Mathematische Zeitschrift 2 Pacific Journal of Mathematics 2 Topology 2 IMRN. International Mathematics Research Notices 2 Bulletin of the American Mathematical Society. New Series 2 Journal of Fixed Point Theory and Applications 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 all top 5 Fields 67 Dynamical systems and ergodic theory (37-XX) 48 Differential geometry (53-XX) 28 Geometry (51-XX) 22 General and overarching topics; collections (00-XX) 21 Convex and discrete geometry (52-XX) 19 Manifolds and cell complexes (57-XX) 15 Mechanics of particles and systems (70-XX) 14 Global analysis, analysis on manifolds (58-XX) 13 History and biography (01-XX) 9 Mathematics education (97-XX) 7 Optics, electromagnetic theory (78-XX) 6 Number theory (11-XX) 6 Commutative algebra (13-XX) 6 Algebraic geometry (14-XX) 6 Algebraic topology (55-XX) 4 Nonassociative rings and algebras (17-XX) 4 Measure and integration (28-XX) 4 Functions of a complex variable (30-XX) 3 Combinatorics (05-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Topological groups, Lie groups (22-XX) 2 Partial differential equations (35-XX) 2 Numerical analysis (65-XX) 2 Fluid mechanics (76-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 111 Publications have been cited 1,082 times in 715 Documents Cited by ▼ Year ▼ Rational billiards and flat structures. Zbl 1057.37034Masur, Howard; Tabachnikov, Serge 115 2002 Projective differential geometry old and new. From the Schwarzian derivative to the cohomology of diffeomorphism groups. Zbl 1073.53001Ovsienko, V.; Tabachnikov, S. 83 2005 Geometry and billiards. Zbl 1119.37001Tabachnikov, Serge 79 2005 Billiards. Zbl 0833.58001Tabachnikov, Serge 54 1995 Invariants of Legendrian and transverse knots in the standard contact space. Zbl 0904.57006Fuchs, Dmitry; Tabachnikov, Serge 42 1997 Topological robotics: Motion planning in projective spaces. Zbl 1030.68089Farber, Michael; Tabachnikov, Serge; Yuzvinsky, Sergey 39 2003 The pentagram map: a discrete integrable system. Zbl 1209.37063Ovsienko, Valentin; Schwartz, Richard; Tabachnikov, Serge 34 2010 On the dual billiard problem. Zbl 0846.58038Tabachnikov, S. 31 1995 Pseudo-Riemannian geodesics and billiards. Zbl 1173.37037Khesin, Boris; Tabachnikov, Serge 27 2009 Mathematical omnibus. Thirty lectures on classic mathematics. Zbl 1318.00004Fuchs, Dmitry; Tabachnikov, Serge 24 2007 What is.. the Schwarzian derivative? Zbl 1176.53002Ovsienko, Valentin; Tabachnikov, Sergei 23 2009 Liouville-Arnold integrability of the pentagram map on closed polygons. Zbl 1315.37035Ovsienko, Valentin; Schwartz, Richard Evan; Tabachnikov, Serge 20 2013 2-frieze patterns and the cluster structure of the space of polygons. Zbl 1290.13014Morier-Genoud, Sophie; Ovsienko, Valentin; Tabachnikov, Serge 20 2012 Geodesics on an ellipsoid in Minkowski space. Zbl 1144.37013Genin, Daniel; Khesin, Boris; Tabachnikov, Serge 16 2007 The Poncelet grid billiards in ellipses. Zbl 1140.51014Levi, Mark; Tabachnikov, Serge 16 2007 Tractrices, bicycle tire tracks, hatchet planimeters, and a 100-year-old conjecture. Zbl 1271.70025Foote, Robert; Levi, Mark; Tabachnikov, Serge 15 2013 Higher pentagram maps, weighted directed networks, and cluster dynamics. Zbl 1278.37047Gekhtman, Michael; Shapiro, Michael; Tabachnikov, Serge; Vainshtein, Alek 15 2012 Topology of cylic configuration spaces and periodic trajectories of multi-dimensional billiards. Zbl 1006.37038Farber, Michael; Tabachnikov, Serge 15 2002 Elementary surprises in projective geometry. Zbl 1204.51024Schwartz, Richard Evan; Tabachnikov, Serge 14 2010 Billiards in Finsler and Minkowski geometries. Zbl 1022.70009Gutkin, Eugene; Tabachnikov, Serge 13 2002 Projectively equivalent metrics, exact transverse line fields and the geodesic flow on the ellipsoid. Zbl 0958.37008Tabachnikov, Serge 13 1999 Estimates for the Bennequin number of Legendrian links from state models for knot polynomials. Zbl 0877.57001Tabachnikov, Serge 13 1997 Linear difference equations, frieze patterns, and the combinatorial Gale transform. Zbl 1297.39004Morier-Genoud, Sophie; Ovsienko, Valentin; Schwartz, Richard Evan; Tabachnikov, Serge 12 2014 Totally skew embeddings of manifolds. Zbl 1140.53003Ghomi, Mohammad; Tabachnikov, Serge 11 2008 Tire track geometry: variations on a theme. Zbl 1124.52005Tabachnikov, Serge 11 2006 On algebraically integrable outer billiards. Zbl 1250.37022Tabachnikov, Serge 10 2008 Dual billiards. Zbl 1088.37014Dogru, Filiz; Tabachnikov, Serge 10 2005 Ivory’s theorem revisited. Zbl 1401.37062Izmestiev, Ivan; Tabachnikov, Serge 9 2017 Integrable cluster dynamics of directed networks and pentagram maps. Zbl 1360.37148Gekhtman, Michael; Shapiro, Michael; Tabachnikov, Serge; Vainshtein, Alek 9 2016 \(\mathrm{SL}_2(\mathbb{Z})\)-tilings of the torus, Coxeter-Conway friezes and Farey triangulations. Zbl 1331.05022Morier-Genoud, Sophie; Ovsienko, Valentin; Tabachnikov, Serge 9 2015 Contact complete integrability. Zbl 1203.37094Khesin, B.; Tabachnikov, Serge 9 2010 Sturm theory, Ghys theorem on zeroes of the Schwarzian derivative and flattening of Legendrian curves. Zbl 0972.58003Ovsienko, Valentin; Tabachnikov, Serge 9 1996 Osculating curves: around the Tait-Kneser theorem. Zbl 1294.53003Ghys, Étienne; Tabachnikov, Sergei; Timorin, Vladlen 8 2013 On bicycle tire tracks geometry, Hatchet planimeter, Menzin’s conjecture, and oscillation of unicycle tracks. Zbl 1185.37146Levi, Mark; Tabachnikov, Serge 8 2009 More on paperfolding. Zbl 1037.53501Fuchs, Dmitry; Tabachnikov, Serge 8 1999 Around four vertices. Zbl 0704.53002Tabachnikov, S. L. 8 1990 On configuration spaces of plane polygons, sub-Riemannian geometry and periodic orbits of outer billiards. Zbl 1139.53017Genin, Daniel; Tabachnikov, Serge 7 2007 Remarks on magnetic flows and magnetic billiards, Finsler metrics and a magnetic analog of Hilbert’s fourth problem. Zbl 1148.37308Tabachnikov, Serge 7 2004 Ellipsoids, complete integrability and hyperbolic geometry. Zbl 1013.37029Tabachnikov, Serge 7 2002 Dual billiards. Zbl 0834.52002Tabachnikov, S. 7 1993 Poncelet’s theorem and dual billiards. Zbl 0804.58020Tabachnikov, Serge 7 1993 Self-dual polygons and self-dual curves. Zbl 1180.51012Fuchs, Dmitry; Tabachnikov, Serge 6 2009 Quasiperiodic motion for the pentagram map. Zbl 1163.37019Ovsienko, Valentin; Schwartz, Richard; Tabachnikov, Serge 6 2009 Non-existence of \(n\)-dimensional \(T\)-embedded discs in \(\mathbb R^{2n}\). Zbl 1107.53005Stojanovic, Gordana; Tabachnikov, Serge 6 2006 On skew loops, skew branes and quadratic hypersurfaces. Zbl 1050.53010Tabachnikov, Serge 6 2003 Parametrized plane curves, Minkowski caustics, Minkowski vertices and conservative line fields. Zbl 1066.53501Tabachnikov, Serge 6 1997 The four-vertex theorem revisited – two variations on the old theme. Zbl 0842.53003Tabachnikov, Serge 6 1995 Dual billiards in the hyperbolic plane. Zbl 1055.37039Tabachnikov, Serge 5 2002 Fagnano orbits of polygonal dual billiards. Zbl 0958.52003Tabachnikov, Serge 5 1999 Asymptotic dynamics of the dual billiard transformation. Zbl 1081.37531Tabachnikov, Serge 5 1996 Open problems, questions and challenges in finite- dimensional integrable systems. Zbl 1407.53089Bolsinov, Alexey; Matveev, Vladimir S.; Miranda, Eva; Tabachnikov, Serge 4 2018 Billiard transformations of parallel flows: a periscope theorem. Zbl 1373.49053Plakhov, Alexander; Tabachnikov, Serge; Treschev, Dmitry 4 2017 Centers of mass of Poncelet polygons, 200 years after. Zbl 1351.01013Schwartz, Richard; Tabachnikov, Sergei 4 2016 On fibrations with flat fibres. Zbl 1309.57024Ovsienko, Valentin; Tabachnikov, Serge 4 2013 Periodic trajectories in the regular pentagon. Zbl 1276.37033Davis, Diana; Fuchs, Dmitry; Tabachnikov, Serge 4 2011 The pentagram integrals on inscribed polygons. Zbl 1246.37091Schwartz, Richard Evan; Tabachnikov, Serge 4 2011 Topological aspects of the Dvoretzky theorem. Zbl 1222.52004Burago, Dmitri; Ivanov, Sergei; Tabachnikov, Serge 4 2010 A proof of Culter’s theorem on the existence of periodic orbits in polygonal outer billiards. Zbl 1131.37039Tabachnikov, Serge 4 2007 Complexity of piecewise convex transformations in two dimensions, with applications to polygonal billiards on surfaces of constant curvature. Zbl 1123.53043Gutkin, Eugene; Tabachnikov, Serge 4 2006 On three-periodic trajectories of multi-dimensional dual billiards. Zbl 1026.37055Tabachnikov, Serge 4 2003 On polygonal dual billiard in the hyperbolic plane. Zbl 1075.37524Dogru, Filiz; Tabachnikov, Serge 4 2003 Commuting dual billiard maps. Zbl 0813.52003Tabachnikov, Serge 4 1994 Two remarks on the asymptotic Hopf invariant. Zbl 0712.55010Tabachnikov, S. L. 4 1990 Computation of the Bennequin invariant of a Legendre curve from the geometry of its wave front. Zbl 0724.58029Tabachnikov, S. L. 4 1988 Introducing symplectic billiards. Zbl 1394.37098Albers, Peter; Tabachnikov, Serge 3 2018 Coxeter’s frieze patterns and discretization of the Virasoro orbit. Zbl 1339.58002Ovsienko, Valentin; Tabachnikov, Serge 3 2015 On the discrete bicycle transformation. Zbl 1317.51027Tabachnikov, S.; Tsukerman, E. 3 2013 The (un)equal tangents problem. Zbl 1269.52005Tabachnikov, Serge 3 2012 Birkhoff billiards are insecure. Zbl 1160.37025Tabachnikov, Serge 3 2009 The tale of a geometric inequality. Zbl 1093.53001Tabachnikov, Serge 3 2003 Periodic trajectories in 3-dimensional convex billiards. Zbl 1087.37052Farber, Michael; Tabachnikov, Serge 3 2002 Projective geometry of polygons and discrete 4-vertex and 6-vertex theorems. Zbl 1060.53010Ovsienko, Valentin; Tabachnikov, Serge 3 2001 A four vertex theorem for polygons. Zbl 0988.52005Tabachnikov, Serge 3 2000 Introducing projective billiards. Zbl 0886.58064Tabachnikov, Serge 3 1997 An invariant of a submanifold transversal to a distribution. Zbl 0649.57029Tabachnikov, S. L. 3 1988 Characteristic classes of Grassmannian bundles. Zbl 0575.57018Tabachnikov, S. L. 3 1985 Wire billiards, the first steps. Zbl 07201210Bialy, Misha; Mironov, Andrey E.; Tabachnikov, Serge 2 2020 Kasner meets Poncelet. Zbl 1458.51003Tabachnikov, Serge 2 2019 Iterating evolutes and involutes. Zbl 1381.51007Arnold, Maxim; Fuchs, Dmitry; Izmestiev, Ivan; Tabachnikov, Serge; Tsukerman, Emmanuel 2 2017 On the bicycle transformation and the filament equation: results and conjectures. Zbl 1375.37159Tabachnikov, Serge 2 2017 Configuration spaces of plane polygons and a sub-Riemannian approach to the equitangent problem. Zbl 1338.53006Jerónimo-Castro, Jesús; Tabachnikov, Serge 2 2016 Introducing supersymmetric frieze patterns and linear difference operators. Zbl 1350.14038Morier-Genoud, Sophie; Ovsienko, Valentin; Tabachnikov, Serge 2 2015 Remarks on the circumcenter of mass. Zbl 1331.51016Tabachnikov, Serge; Tsukerman, Emmanuel 2 2015 Arnold: swimming against the tide. Zbl 1305.01045Khesin, Boris A. (ed.); Tabachnikov, Serge L. (ed.) 2 2014 Circumcenter of mass and generalized Euler line. Zbl 1301.51023Tabachnikov, Serge; Tsukerman, Emmanuel 2 2014 The equal tangents property. Zbl 1294.52004Jerónimo-Castro, Jesús; Ruiz-Hernández, Gabriel; Tabachnikov, Sergei 2 2014 Hyperbolic Carathéodory conjecture. Zbl 1163.53004Ovsienko, V.; Tabachnikov, S. 2 2007 Going in circles: Variations on the Money-Coutts theorem. Zbl 0960.51008Tabachnikov, Serge 2 2000 On functions with zero mean over a finite group. Zbl 0924.28015Tabachnikov, S. L. 2 1997 On zeros of the Schwarzian derivative. Zbl 0889.58015Tabachnikov, Serge 2 1997 Exact transverse line fields and projective billiards in a ball. Zbl 0970.37042Tabachnikov, S. 2 1997 Invariants of smooth triple point free plane curves. Zbl 0893.57004Tabachnikov, Serge 2 1996 Geometry of Lagrangian and Legendrian 2-web. Zbl 0789.53019Tabachnikov, Serge 2 1993 Fun problems in geometry and beyond. Zbl 1431.00002Khesin, Boris; Tabachnikov, Serge 1 2019 The six circles theorem revisited. Zbl 1391.51012Ivanov, Dennis; Tabachnikov, Serge 1 2016 Hopf fibrations and Hurwitz-Radon numbers. Zbl 1372.55001Ovsienko, Valentin; Tabachnikov, Serge 1 2016 Skewers. Zbl 1343.51004Tabachnikov, Serge 1 2016 A baker’s dozen of problems. Zbl 1326.53006Tabachnikov, Serge 1 2015 On curves and polygons with the equiangular chord property. Zbl 1386.37038Aougab, Tarik; Sun, Xidian; Tabachnikov, Serge; Wang, Yuwen 1 2015 Dragon curves revisited. Zbl 1295.28013Tabachnikov, Sergei 1 2014 Wire billiards, the first steps. Zbl 07201210Bialy, Misha; Mironov, Andrey E.; Tabachnikov, Serge 2 2020 Kasner meets Poncelet. Zbl 1458.51003Tabachnikov, Serge 2 2019 Fun problems in geometry and beyond. Zbl 1431.00002Khesin, Boris; Tabachnikov, Serge 1 2019 Open problems, questions and challenges in finite- dimensional integrable systems. Zbl 1407.53089Bolsinov, Alexey; Matveev, Vladimir S.; Miranda, Eva; Tabachnikov, Serge 4 2018 Introducing symplectic billiards. Zbl 1394.37098Albers, Peter; Tabachnikov, Serge 3 2018 Ivory’s theorem revisited. Zbl 1401.37062Izmestiev, Ivan; Tabachnikov, Serge 9 2017 Billiard transformations of parallel flows: a periscope theorem. Zbl 1373.49053Plakhov, Alexander; Tabachnikov, Serge; Treschev, Dmitry 4 2017 Iterating evolutes and involutes. Zbl 1381.51007Arnold, Maxim; Fuchs, Dmitry; Izmestiev, Ivan; Tabachnikov, Serge; Tsukerman, Emmanuel 2 2017 On the bicycle transformation and the filament equation: results and conjectures. Zbl 1375.37159Tabachnikov, Serge 2 2017 Integrable cluster dynamics of directed networks and pentagram maps. Zbl 1360.37148Gekhtman, Michael; Shapiro, Michael; Tabachnikov, Serge; Vainshtein, Alek 9 2016 Centers of mass of Poncelet polygons, 200 years after. Zbl 1351.01013Schwartz, Richard; Tabachnikov, Sergei 4 2016 Configuration spaces of plane polygons and a sub-Riemannian approach to the equitangent problem. Zbl 1338.53006Jerónimo-Castro, Jesús; Tabachnikov, Serge 2 2016 The six circles theorem revisited. Zbl 1391.51012Ivanov, Dennis; Tabachnikov, Serge 1 2016 Hopf fibrations and Hurwitz-Radon numbers. Zbl 1372.55001Ovsienko, Valentin; Tabachnikov, Serge 1 2016 Skewers. Zbl 1343.51004Tabachnikov, Serge 1 2016 \(\mathrm{SL}_2(\mathbb{Z})\)-tilings of the torus, Coxeter-Conway friezes and Farey triangulations. Zbl 1331.05022Morier-Genoud, Sophie; Ovsienko, Valentin; Tabachnikov, Serge 9 2015 Coxeter’s frieze patterns and discretization of the Virasoro orbit. Zbl 1339.58002Ovsienko, Valentin; Tabachnikov, Serge 3 2015 Introducing supersymmetric frieze patterns and linear difference operators. Zbl 1350.14038Morier-Genoud, Sophie; Ovsienko, Valentin; Tabachnikov, Serge 2 2015 Remarks on the circumcenter of mass. Zbl 1331.51016Tabachnikov, Serge; Tsukerman, Emmanuel 2 2015 A baker’s dozen of problems. Zbl 1326.53006Tabachnikov, Serge 1 2015 On curves and polygons with the equiangular chord property. Zbl 1386.37038Aougab, Tarik; Sun, Xidian; Tabachnikov, Serge; Wang, Yuwen 1 2015 Linear difference equations, frieze patterns, and the combinatorial Gale transform. Zbl 1297.39004Morier-Genoud, Sophie; Ovsienko, Valentin; Schwartz, Richard Evan; Tabachnikov, Serge 12 2014 Arnold: swimming against the tide. Zbl 1305.01045Khesin, Boris A. (ed.); Tabachnikov, Serge L. (ed.) 2 2014 Circumcenter of mass and generalized Euler line. Zbl 1301.51023Tabachnikov, Serge; Tsukerman, Emmanuel 2 2014 The equal tangents property. Zbl 1294.52004Jerónimo-Castro, Jesús; Ruiz-Hernández, Gabriel; Tabachnikov, Sergei 2 2014 Dragon curves revisited. Zbl 1295.28013Tabachnikov, Sergei 1 2014 Liouville-Arnold integrability of the pentagram map on closed polygons. Zbl 1315.37035Ovsienko, Valentin; Schwartz, Richard Evan; Tabachnikov, Serge 20 2013 Tractrices, bicycle tire tracks, hatchet planimeters, and a 100-year-old conjecture. Zbl 1271.70025Foote, Robert; Levi, Mark; Tabachnikov, Serge 15 2013 Osculating curves: around the Tait-Kneser theorem. Zbl 1294.53003Ghys, Étienne; Tabachnikov, Sergei; Timorin, Vladlen 8 2013 On fibrations with flat fibres. Zbl 1309.57024Ovsienko, Valentin; Tabachnikov, Serge 4 2013 On the discrete bicycle transformation. Zbl 1317.51027Tabachnikov, S.; Tsukerman, E. 3 2013 Periodic trajectories in the regular pentagon. II. Zbl 1347.37066Fuchs, Dmitry; Tabachnikov, Serge 1 2013 2-frieze patterns and the cluster structure of the space of polygons. Zbl 1290.13014Morier-Genoud, Sophie; Ovsienko, Valentin; Tabachnikov, Serge 20 2012 Higher pentagram maps, weighted directed networks, and cluster dynamics. Zbl 1278.37047Gekhtman, Michael; Shapiro, Michael; Tabachnikov, Serge; Vainshtein, Alek 15 2012 The (un)equal tangents problem. Zbl 1269.52005Tabachnikov, Serge 3 2012 Discrete spherical means of directional derivatives and Veronese maps. Zbl 1239.65019Belyaev, Alexander; Khesin, Boris; Tabachnikov, Serge 1 2012 Periodic trajectories in the regular pentagon. Zbl 1276.37033Davis, Diana; Fuchs, Dmitry; Tabachnikov, Serge 4 2011 The pentagram integrals on inscribed polygons. Zbl 1246.37091Schwartz, Richard Evan; Tabachnikov, Serge 4 2011 Variations on R. Schwartz’s inequality for the Schwarzian derivative. Zbl 1243.52006Tabachnikov, Serge 1 2011 The pentagram map: a discrete integrable system. Zbl 1209.37063Ovsienko, Valentin; Schwartz, Richard; Tabachnikov, Serge 34 2010 Elementary surprises in projective geometry. Zbl 1204.51024Schwartz, Richard Evan; Tabachnikov, Serge 14 2010 Contact complete integrability. Zbl 1203.37094Khesin, B.; Tabachnikov, Serge 9 2010 Topological aspects of the Dvoretzky theorem. Zbl 1222.52004Burago, Dmitri; Ivanov, Sergei; Tabachnikov, Serge 4 2010 Existence and nonexistence of skew branes. Zbl 1205.53060Tabachnikov, Serge 1 2010 Pseudo-Riemannian geodesics and billiards. Zbl 1173.37037Khesin, Boris; Tabachnikov, Serge 27 2009 What is.. the Schwarzian derivative? Zbl 1176.53002Ovsienko, Valentin; Tabachnikov, Sergei 23 2009 On bicycle tire tracks geometry, Hatchet planimeter, Menzin’s conjecture, and oscillation of unicycle tracks. Zbl 1185.37146Levi, Mark; Tabachnikov, Serge 8 2009 Self-dual polygons and self-dual curves. Zbl 1180.51012Fuchs, Dmitry; Tabachnikov, Serge 6 2009 Quasiperiodic motion for the pentagram map. Zbl 1163.37019Ovsienko, Valentin; Schwartz, Richard; Tabachnikov, Serge 6 2009 Birkhoff billiards are insecure. Zbl 1160.37025Tabachnikov, Serge 3 2009 Totally skew embeddings of manifolds. Zbl 1140.53003Ghomi, Mohammad; Tabachnikov, Serge 11 2008 On algebraically integrable outer billiards. Zbl 1250.37022Tabachnikov, Serge 10 2008 Mathematical omnibus. Thirty lectures on classic mathematics. Zbl 1318.00004Fuchs, Dmitry; Tabachnikov, Serge 24 2007 Geodesics on an ellipsoid in Minkowski space. Zbl 1144.37013Genin, Daniel; Khesin, Boris; Tabachnikov, Serge 16 2007 The Poncelet grid billiards in ellipses. Zbl 1140.51014Levi, Mark; Tabachnikov, Serge 16 2007 On configuration spaces of plane polygons, sub-Riemannian geometry and periodic orbits of outer billiards. Zbl 1139.53017Genin, Daniel; Tabachnikov, Serge 7 2007 A proof of Culter’s theorem on the existence of periodic orbits in polygonal outer billiards. Zbl 1131.37039Tabachnikov, Serge 4 2007 Hyperbolic Carathéodory conjecture. Zbl 1163.53004Ovsienko, V.; Tabachnikov, S. 2 2007 Tire track geometry: variations on a theme. Zbl 1124.52005Tabachnikov, Serge 11 2006 Non-existence of \(n\)-dimensional \(T\)-embedded discs in \(\mathbb R^{2n}\). Zbl 1107.53005Stojanovic, Gordana; Tabachnikov, Serge 6 2006 Complexity of piecewise convex transformations in two dimensions, with applications to polygonal billiards on surfaces of constant curvature. Zbl 1123.53043Gutkin, Eugene; Tabachnikov, Serge 4 2006 Projective differential geometry old and new. From the Schwarzian derivative to the cohomology of diffeomorphism groups. Zbl 1073.53001Ovsienko, V.; Tabachnikov, S. 83 2005 Geometry and billiards. Zbl 1119.37001Tabachnikov, Serge 79 2005 Dual billiards. Zbl 1088.37014Dogru, Filiz; Tabachnikov, Serge 10 2005 Remarks on magnetic flows and magnetic billiards, Finsler metrics and a magnetic analog of Hilbert’s fourth problem. Zbl 1148.37308Tabachnikov, Serge 7 2004 Topological robotics: Motion planning in projective spaces. Zbl 1030.68089Farber, Michael; Tabachnikov, Serge; Yuzvinsky, Sergey 39 2003 On skew loops, skew branes and quadratic hypersurfaces. Zbl 1050.53010Tabachnikov, Serge 6 2003 On three-periodic trajectories of multi-dimensional dual billiards. Zbl 1026.37055Tabachnikov, Serge 4 2003 On polygonal dual billiard in the hyperbolic plane. Zbl 1075.37524Dogru, Filiz; Tabachnikov, Serge 4 2003 The tale of a geometric inequality. Zbl 1093.53001Tabachnikov, Serge 3 2003 Rational billiards and flat structures. Zbl 1057.37034Masur, Howard; Tabachnikov, Serge 115 2002 Topology of cylic configuration spaces and periodic trajectories of multi-dimensional billiards. Zbl 1006.37038Farber, Michael; Tabachnikov, Serge 15 2002 Billiards in Finsler and Minkowski geometries. Zbl 1022.70009Gutkin, Eugene; Tabachnikov, Serge 13 2002 Ellipsoids, complete integrability and hyperbolic geometry. Zbl 1013.37029Tabachnikov, Serge 7 2002 Dual billiards in the hyperbolic plane. Zbl 1055.37039Tabachnikov, Serge 5 2002 Periodic trajectories in 3-dimensional convex billiards. Zbl 1087.37052Farber, Michael; Tabachnikov, Serge 3 2002 Projective geometry of polygons and discrete 4-vertex and 6-vertex theorems. Zbl 1060.53010Ovsienko, Valentin; Tabachnikov, Serge 3 2001 A four vertex theorem for polygons. Zbl 0988.52005Tabachnikov, Serge 3 2000 Going in circles: Variations on the Money-Coutts theorem. Zbl 0960.51008Tabachnikov, Serge 2 2000 Projectively equivalent metrics, exact transverse line fields and the geodesic flow on the ellipsoid. Zbl 0958.37008Tabachnikov, Serge 13 1999 More on paperfolding. Zbl 1037.53501Fuchs, Dmitry; Tabachnikov, Serge 8 1999 Fagnano orbits of polygonal dual billiards. Zbl 0958.52003Tabachnikov, Serge 5 1999 Appendix: Personal notes. Zbl 0960.01012Schwarz, Albert; Sossinsky, Alexei; Roger, Claude; Feigin, Boris; Tabachnikov, Sergei; Astashkevich, Alexander 1 1999 Remarks on the geometry of exact transverse line fields. Zbl 0978.53102Tabachnikov, Serge 1 1999 Differential topology, infinite-dimensional Lie algebras, and applications. D. B. Fuchs’ 60th anniversary collection. Zbl 0921.00044Astashkevich, Alexander (ed.); Tabachnikov, Serge (ed.) 1 1999 Invariants of Legendrian and transverse knots in the standard contact space. Zbl 0904.57006Fuchs, Dmitry; Tabachnikov, Serge 42 1997 Estimates for the Bennequin number of Legendrian links from state models for knot polynomials. Zbl 0877.57001Tabachnikov, Serge 13 1997 Parametrized plane curves, Minkowski caustics, Minkowski vertices and conservative line fields. Zbl 1066.53501Tabachnikov, Serge 6 1997 Introducing projective billiards. Zbl 0886.58064Tabachnikov, Serge 3 1997 On functions with zero mean over a finite group. Zbl 0924.28015Tabachnikov, S. L. 2 1997 On zeros of the Schwarzian derivative. Zbl 0889.58015Tabachnikov, Serge 2 1997 Exact transverse line fields and projective billiards in a ball. Zbl 0970.37042Tabachnikov, S. 2 1997 Sturm theory, Ghys theorem on zeroes of the Schwarzian derivative and flattening of Legendrian curves. Zbl 0972.58003Ovsienko, Valentin; Tabachnikov, Serge 9 1996 Asymptotic dynamics of the dual billiard transformation. Zbl 1081.37531Tabachnikov, Serge 5 1996 Invariants of smooth triple point free plane curves. Zbl 0893.57004Tabachnikov, Serge 2 1996 Projective connections, group Vey cocycle, and deformation quantization. Zbl 0872.17020Tabachnikov, Serge 1 1996 Billiards. Zbl 0833.58001Tabachnikov, Serge 54 1995 On the dual billiard problem. Zbl 0846.58038Tabachnikov, S. 31 1995 The four-vertex theorem revisited – two variations on the old theme. Zbl 0842.53003Tabachnikov, Serge 6 1995 A cone eversion. Zbl 0827.53005Tabachnikov, S. 1 1995 ...and 11 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 819 Authors 51 Tabachnikov, Serge L. 19 Ovsienko, Valentin Yu. 11 Dragović, Vladimir 11 Radnović, Milena 10 Glutsyuk, Alexey A. 10 Hooper, W. Patrick 9 Bialy, Misha 9 Hubert, Pascal 9 Khesin, Boris A. 9 Nguyen, Duc-Manh 8 Gonzalez, Jesus 8 Grant, Mark 8 Morier-Genoud, Sophie 8 Schwartz, Richard Evan 8 Troubetzkoy, Serge Eugene 8 Wright, Alex 7 Akopyan, Arseniy V. 7 Gutkin, Eugene 7 Jovanović, Božidar Žarko 7 Karasev, Roman N. 7 Mironov, Andreĭ Evgen’evich 6 Farber, Michael S. 6 Ghomi, Mohammad 6 Schmidt, Thomas A. 6 Tertychnyĭ, Sergeĭ Ivanovich 6 Umehara, Masaaki 6 Weiss, Barak 5 Bukhshtaber, Viktor Matveevich 5 Chernov, Vladimir V. 5 Craizer, Marcos 5 Eskin, Alex 5 Fuchs, Dmitry Borisovich 5 Glick, Max 5 Kaloshin, Vadim Yu. 5 Marí Beffa, Gloria 5 Masur, Howard A. 5 Matveev, Vladimir S. 5 Sorrentino, Alfonso 4 Bibikov, Pavel Vitalievich 4 Blagojević, Pavle V. M. 4 Dettmann, Carl P. 4 Dranishnikov, Alexander Nikolaevich 4 Duval, Christian 4 Lanneau, Erwan 4 Martini, Horst 4 McMullen, Curtis Tracy 4 Möller, Martin 4 Oprea, John F. 4 Plakhov, A. Yu 4 Pylyavskyy, Pavlo 4 Ramírez-Ros, Rafael 4 Soloviev, Fedor 4 Tari, Farid 4 Tsukerman, Emmanuel 3 Athreya, Jayadev S. 3 Balestro, Vitor 3 Baralić, Đorđe 3 Bedaride, Nicolas 3 Biggs, Adam 3 Bobenko, Alexander Ivanovich 3 Boissy, Corentin 3 Bouarroudj, Sofiane 3 Bunimovich, Leonid Abramovich 3 Chaika, Jonathan 3 Davis, Diana 3 Davis, Donald M. 3 de Lucas, Javier 3 Fomenko, Anatoliĭ Timofeevich 3 Garcia, Ronaldo A. 3 Jerónimo-Castro, Jesús 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 Rudyak, Yuli B. 3 Schmoll, Martin Johannes 3 Sharir, Micha 3 Tanaka, Toshifumi 3 Teixeira, Ralph C. 3 Vandembroucq, Lucile 3 Vedyushkina, Viktoriya Viktorovna 3 Ziegler, Günter Matthias 2 Abdelaziz, Y. 2 Adabrah, Anani Komla 2 Agafonov, Sergey I. 2 Agrebaoui, Boujemaa 2 Albouy, Alain 2 Anciaux, Henri 2 Artstein-Avidan, Shiri 2 Avila Cordeiro de Melo, Artur 2 Balitskiy, Alexey 2 Barbot, Thierry 2 Bartoli, Adrien 2 Baur, Karin 2 Bezdek, Károly 2 Blanc, David Abraham ...and 719 more Authors all top 5 Cited in 216 Serials 30 Journal of Geometry and Physics 26 Geometriae Dedicata 24 Topology and its Applications 21 Advances in Mathematics 16 Communications in Mathematical Physics 16 The Mathematical Intelligencer 16 Geometry & Topology 14 Duke Mathematical Journal 14 Proceedings of the American Mathematical Society 13 Annales de l’Institut Fourier 11 Journal of Mathematical Physics 11 Mathematische Annalen 11 Mathematische Zeitschrift 11 Geometric and Functional Analysis. GAFA 11 Regular and Chaotic Dynamics 10 Functional Analysis and its Applications 10 Transactions of the American Mathematical Society 10 Discrete & Computational Geometry 10 Journal of Knot Theory and its Ramifications 9 Journal of Statistical Physics 9 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 8 Physica D 8 Algebraic & Geometric Topology 7 Letters in Mathematical Physics 7 Theoretical and Mathematical Physics 7 Experimental Mathematics 7 Discrete and Continuous Dynamical Systems 6 Israel Journal of Mathematics 6 Nonlinearity 6 Ergodic Theory and Dynamical Systems 6 Bulletin of the American Mathematical Society. New Series 6 Dynamical Systems 6 Proceedings of the Steklov Institute of Mathematics 6 Journal of Modern Dynamics 6 Arnold Mathematical Journal 5 Archive for Rational Mechanics and Analysis 5 Inventiones Mathematicae 5 Journal of Differential Equations 5 Journal of Geometry 5 Journal of the American Mathematical Society 5 Conformal Geometry and Dynamics 5 Journal of Dynamical and Control Systems 4 Bulletin of the London Mathematical Society 4 Differential Geometry and its Applications 4 The Journal of Geometric Analysis 4 Linear Algebra and its Applications 4 Journal of Mathematical Sciences (New York) 4 Selecta Mathematica. New Series 4 Doklady Mathematics 4 Chaos 4 Annals of Mathematics. Second Series 4 Journal of Physics A: Mathematical and Theoretical 3 Discrete Mathematics 3 Journal d’Analyse Mathématique 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Journal für die Reine und Angewandte Mathematik 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Results in Mathematics 3 European Journal of Combinatorics 3 Annals of Global Analysis and Geometry 3 Computer Aided Geometric Design 3 Journal of Algebraic Combinatorics 3 Journal of the European Mathematical Society (JEMS) 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 2 American Mathematical Monthly 2 Computers & Mathematics with Applications 2 Moscow University Mathematics Bulletin 2 Physics Letters. A 2 Russian Mathematical Surveys 2 Commentarii Mathematici Helvetici 2 Journal of Combinatorial Theory. Series A 2 Monatshefte für Mathematik 2 Nagoya Mathematical Journal 2 Tohoku Mathematical Journal. Second Series 2 Bulletin of the Korean Mathematical Society 2 Acta Mathematica Hungarica 2 Applied Mathematics Letters 2 Forum Mathematicum 2 International Journal of Mathematics 2 Elemente der Mathematik 2 Journal of Elasticity 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Expositiones Mathematicae 2 Journal of Mathematical Imaging and Vision 2 Journal of Nonlinear Science 2 Topology Proceedings 2 St. Petersburg Mathematical Journal 2 Turkish Journal of Mathematics 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Transformation Groups 2 Journal of Mathematical Fluid Mechanics 2 Integers 2 Advances in Geometry 2 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 Functional Analysis and Other Mathematics 2 Groups, Geometry, and Dynamics ...and 116 more Serials all top 5 Cited in 56 Fields 293 Dynamical systems and ergodic theory (37-XX) 177 Differential geometry (53-XX) 106 Manifolds and cell complexes (57-XX) 82 Convex and discrete geometry (52-XX) 79 Geometry (51-XX) 61 Algebraic geometry (14-XX) 58 Mechanics of particles and systems (70-XX) 57 Several complex variables and analytic spaces (32-XX) 52 Functions of a complex variable (30-XX) 52 Global analysis, analysis on manifolds (58-XX) 49 Algebraic topology (55-XX) 38 Ordinary differential equations (34-XX) 29 Number theory (11-XX) 27 Computer science (68-XX) 25 Combinatorics (05-XX) 25 Partial differential equations (35-XX) 24 Nonassociative rings and algebras (17-XX) 23 Commutative algebra (13-XX) 20 Statistical mechanics, structure of matter (82-XX) 16 Quantum theory (81-XX) 13 Group theory and generalizations (20-XX) 11 General and overarching topics; collections (00-XX) 11 History and biography (01-XX) 11 Difference and functional equations (39-XX) 11 Optics, electromagnetic theory (78-XX) 10 Topological groups, Lie groups (22-XX) 10 Numerical analysis (65-XX) 10 Relativity and gravitational theory (83-XX) 9 Measure and integration (28-XX) 9 Functional analysis (46-XX) 8 Special functions (33-XX) 6 Fluid mechanics (76-XX) 5 Operator theory (47-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Real functions (26-XX) 4 Probability theory and stochastic processes (60-XX) 4 Mechanics of deformable solids (74-XX) 4 Systems theory; control (93-XX) 3 Associative rings and algebras (16-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Field theory and polynomials (12-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 General topology (54-XX) 2 Statistics (62-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-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 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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