Edit Profile (opens in new tab) Tabachnikov, Serge L. Compute Distance To: Compute Author ID: tabachnikov.serge-l Published as: Tabachnikov, Serge; Tabachnikov, Sergei; Tabachnikov, S. L.; Tabachnikov, S.; Tabachnikov, Serge L. more...less Homepage: http://www.personal.psu.edu/sot2/ External Links: MGP · Wikidata · Google Scholar · Math-Net.Ru · dblp · GND · IdRef · theses.fr Documents Indexed: 149 Publications since 1983, including 6 Books 13 Contributions as Editor Co-Authors: 70 Co-Authors with 85 Joint Publications 1,779 Co-Co-Authors all top 5 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 all top 5 Fields 71 Dynamical systems and ergodic theory (37-XX) 51 Differential geometry (53-XX) 30 Geometry (51-XX) 23 Convex and discrete geometry (52-XX) 22 General and overarching topics; collections (00-XX) 19 Manifolds and cell complexes (57-XX) 16 Mechanics of particles and systems (70-XX) 15 History and biography (01-XX) 14 Global analysis, analysis on manifolds (58-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 Calculus of variations and optimal control; optimization (49-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 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 116 Publications have been cited 1,225 times in 809 Documents Cited by ▼ Year ▼ Rational billiards and flat structures. Zbl 1057.37034Masur, Howard; Tabachnikov, Serge 131 2002 Geometry and billiards. Zbl 1119.37001Tabachnikov, Serge 102 2005 Projective differential geometry old and new. From the Schwarzian derivative to the cohomology of diffeomorphism groups. Zbl 1073.53001Ovsienko, V.; Tabachnikov, S. 88 2005 Topological robotics: Motion planning in projective spaces. Zbl 1030.68089Farber, Michael; Tabachnikov, Serge; Yuzvinsky, Sergey 46 2003 Invariants of Legendrian and transverse knots in the standard contact space. Zbl 0904.57006Fuchs, Dmitry; Tabachnikov, Serge 44 1997 Billiards. Zbl 0833.58001Tabachnikov, Serge 43 1995 The pentagram map: a discrete integrable system. Zbl 1209.37063Ovsienko, Valentin; Schwartz, Richard; Tabachnikov, Serge 37 2010 Pseudo-Riemannian geodesics and billiards. Zbl 1173.37037Khesin, Boris; Tabachnikov, Serge 36 2009 Mathematical omnibus. Thirty lectures on classic mathematics. Zbl 1318.00004Fuchs, Dmitry; Tabachnikov, Serge 31 2007 On the dual billiard problem. Zbl 0846.58038Tabachnikov, S. 31 1995 What is... the Schwarzian derivative? Zbl 1176.53002Ovsienko, Valentin; Tabachnikov, Sergei 29 2009 The Poncelet grid billiards in ellipses. Zbl 1140.51014Levi, Mark; Tabachnikov, Serge 25 2007 Liouville-Arnold integrability of the pentagram map on closed polygons. Zbl 1315.37035Ovsienko, Valentin; Schwartz, Richard Evan; Tabachnikov, Serge 22 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 19 2007 Tractrices, bicycle tire tracks, hatchet planimeters, and a 100-year-old conjecture. Zbl 1271.70025Foote, Robert; Levi, Mark; Tabachnikov, Serge 17 2013 Topology of cylic configuration spaces and periodic trajectories of multi-dimensional billiards. Zbl 1006.37038Farber, Michael; Tabachnikov, Serge 15 2002 Higher pentagram maps, weighted directed networks, and cluster dynamics. Zbl 1278.37047Gekhtman, Michael; Shapiro, Michael; Tabachnikov, Serge; Vainshtein, Alek 15 2012 Elementary surprises in projective geometry. Zbl 1204.51024Schwartz, Richard Evan; Tabachnikov, Serge 14 2010 Projectively equivalent metrics, exact transverse line fields and the geodesic flow on the ellipsoid. Zbl 0958.37008Tabachnikov, Serge 14 1999 Ivory’s theorem revisited. Zbl 1401.37062Izmestiev, Ivan; Tabachnikov, Serge 14 2017 Billiards in Finsler and Minkowski geometries. Zbl 1022.70009Gutkin, Eugene; Tabachnikov, Serge 14 2002 Dual billiards. Zbl 1088.37014Dogru, Filiz; Tabachnikov, Serge 14 2005 Integrable cluster dynamics of directed networks and pentagram maps. Zbl 1360.37148Gekhtman, Michael; Shapiro, Michael; Tabachnikov, Serge; Vainshtein, Alek 13 2016 Estimates for the Bennequin number of Legendrian links from state models for knot polynomials. Zbl 0877.57001Tabachnikov, 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 13 2014 On algebraically integrable outer billiards. Zbl 1250.37022Tabachnikov, Serge 12 2008 Centers of mass of Poncelet polygons, 200 years after. Zbl 1351.01013Schwartz, Richard; Tabachnikov, Sergei 11 2016 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 Sturm theory, Ghys theorem on zeroes of the Schwarzian derivative and flattening of Legendrian curves. Zbl 0972.58003Ovsienko, Valentin; Tabachnikov, Serge 10 1996 On bicycle tire tracks geometry, Hatchet planimeter, Menzin’s conjecture, and oscillation of unicycle tracks. Zbl 1185.37146Levi, Mark; Tabachnikov, Serge 9 2009 More on paperfolding. Zbl 1037.53501Fuchs, Dmitry; Tabachnikov, Serge 9 1999 \(\mathrm{SL}_2(\mathbb{Z})\)-tilings of the torus, Coxeter-Conway friezes and Farey triangulations. Zbl 1331.05022Morier-Genoud, Sophie; Ovsienko, Valentin; Tabachnikov, Serge 9 2015 Osculating curves: around the Tait-Kneser theorem. Zbl 1294.53003Ghys, Étienne; Tabachnikov, Sergei; Timorin, Vladlen 9 2013 Contact complete integrability. Zbl 1203.37094Khesin, B.; Tabachnikov, Serge 8 2010 On configuration spaces of plane polygons, sub-Riemannian geometry and periodic orbits of outer billiards. Zbl 1139.53017Genin, Daniel; Tabachnikov, Serge 8 2007 Around four vertices. Zbl 0704.53002Tabachnikov, S. L. 8 1990 Poncelet’s theorem and dual billiards. Zbl 0804.58020Tabachnikov, Serge 8 1993 Self-dual polygons and self-dual curves. Zbl 1180.51012Fuchs, Dmitry; Tabachnikov, Serge 8 2009 Open problems, questions and challenges in finite- dimensional integrable systems. Zbl 1407.53089Bolsinov, Alexey; Matveev, Vladimir S.; Miranda, Eva; Tabachnikov, Serge 8 2018 Parametrized plane curves, Minkowski caustics, Minkowski vertices and conservative line fields. Zbl 1066.53501Tabachnikov, Serge 7 1997 On skew loops, skew branes and quadratic hypersurfaces. Zbl 1050.53010Tabachnikov, Serge 6 2003 Remarks on magnetic flows and magnetic billiards, Finsler metrics and a magnetic analog of Hilbert’s fourth problem. Zbl 1148.37308Tabachnikov, Serge 6 2004 Quasiperiodic motion for the pentagram map. Zbl 1163.37019Ovsienko, Valentin; Schwartz, Richard; Tabachnikov, Serge 6 2009 Dual billiards. Zbl 0834.52002Tabachnikov, S. 6 1993 The four-vertex theorem revisited – two variations on the old theme. Zbl 0842.53003Tabachnikov, Serge 6 1995 Non-existence of \(n\)-dimensional \(T\)-embedded discs in \(\mathbb R^{2n}\). Zbl 1107.53005Stojanovic, Gordana; Tabachnikov, Serge 6 2006 Ellipsoids, complete integrability and hyperbolic geometry. Zbl 1013.37029Tabachnikov, Serge 6 2002 Iterating evolutes and involutes. Zbl 1381.51007Arnold, Maxim; Fuchs, Dmitry; Izmestiev, Ivan; Tabachnikov, Serge; Tsukerman, Emmanuel 5 2017 Two remarks on the asymptotic Hopf invariant. Zbl 0712.55010Tabachnikov, S. L. 5 1990 Commuting dual billiard maps. Zbl 0813.52003Tabachnikov, Serge 5 1994 Fagnano orbits of polygonal dual billiards. Zbl 0958.52003Tabachnikov, Serge 5 1999 Dual billiards in the hyperbolic plane. Zbl 1055.37039Tabachnikov, Serge 5 2002 Asymptotic dynamics of the dual billiard transformation. Zbl 1081.37531Tabachnikov, Serge 5 1996 On fibrations with flat fibres. Zbl 1309.57024Ovsienko, Valentin; Tabachnikov, Serge 5 2013 On three-periodic trajectories of multi-dimensional dual billiards. Zbl 1026.37055Tabachnikov, Serge 4 2003 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 Computation of the Bennequin invariant of a Legendre curve from the geometry of its wave front. Zbl 0724.58029Tabachnikov, S. L. 4 1988 On polygonal dual billiard in the hyperbolic plane. Zbl 1075.37524Dogru, Filiz; Tabachnikov, Serge 4 2003 Complexity of piecewise convex transformations in two dimensions, with applications to polygonal billiards on surfaces of constant curvature. Zbl 1123.53043Gutkin, Eugene; Tabachnikov, Serge 4 2006 Introducing projective billiards. Zbl 0886.58064Tabachnikov, Serge 4 1997 Kasner meets Poncelet. Zbl 1458.51003Tabachnikov, Serge 4 2019 A four vertex theorem for polygons. Zbl 0988.52005Tabachnikov, Serge 4 2000 Circumcenter of mass and generalized Euler line. Zbl 1301.51023Tabachnikov, Serge; Tsukerman, Emmanuel 4 2014 Hopf fibrations and Hurwitz-Radon numbers. Zbl 1372.55001Ovsienko, Valentin; Tabachnikov, Serge 4 2016 Introducing supersymmetric frieze patterns and linear difference operators. Zbl 1350.14038Morier-Genoud, Sophie; Ovsienko, Valentin; Tabachnikov, Serge 4 2015 The pentagram integrals on inscribed polygons. Zbl 1246.37091Schwartz, Richard Evan; Tabachnikov, Serge 4 2011 Billiard transformations of parallel flows: a periscope theorem. Zbl 1373.49053Plakhov, Alexander; Tabachnikov, Serge; Treschev, Dmitry 4 2017 Periodic trajectories in the regular pentagon. Zbl 1276.37033Davis, Diana; Fuchs, Dmitry; Tabachnikov, Serge 4 2011 Projective geometry of polygons and discrete 4-vertex and 6-vertex theorems. Zbl 1060.53010Ovsienko, Valentin; Tabachnikov, Serge 3 2001 Characteristic classes of Grassmannian bundles. Zbl 0575.57018Tabachnikov, S. L. 3 1985 Exact transverse line fields and projective billiards in a ball. Zbl 0970.37042Tabachnikov, S. 3 1997 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 Wire billiards, the first steps. Zbl 1477.37035Bialy, Misha; Mironov, Andrey E.; Tabachnikov, Serge 3 2020 Arnold: swimming against the tide. Zbl 1305.01045 3 2014 On the discrete bicycle transformation. Zbl 1317.51027Tabachnikov, S.; Tsukerman, E. 3 2013 Coxeter’s frieze patterns and discretization of the Virasoro orbit. Zbl 1339.58002Ovsienko, Valentin; Tabachnikov, Serge 3 2015 The (un)equal tangents problem. Zbl 1269.52005Tabachnikov, Serge 3 2012 Introducing symplectic billiards. Zbl 1394.37098Albers, Peter; Tabachnikov, Serge 3 2018 Four equivalent properties of integrable billiards. Zbl 1470.37079Glutsyuk, Alexei; Izmestiev, Ivan; Tabachnikov, Serge 3 2021 An invariant of a submanifold transversal to a distribution. Zbl 0649.57029Tabachnikov, S. L. 2 1988 Hyperbolic Carathéodory conjecture. Zbl 1163.53004Ovsienko, V.; Tabachnikov, S. 2 2007 Geometry of Lagrangian and Legendrian 2-web. Zbl 0789.53019Tabachnikov, Serge 2 1993 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 Invariants of smooth triple point free plane curves. Zbl 0893.57004Tabachnikov, Serge 2 1996 Going in circles: Variations on the Money-Coutts theorem. Zbl 0960.51008Tabachnikov, Serge 2 2000 Configuration spaces of plane polygons and a sub-Riemannian approach to the equitangent problem. Zbl 1338.53006Jerónimo-Castro, Jesús; Tabachnikov, Serge 2 2016 Remarks on the circumcenter of mass. Zbl 1331.51016Tabachnikov, Serge; Tsukerman, Emmanuel 2 2015 On the bicycle transformation and the filament equation: results and conjectures. Zbl 1375.37159Tabachnikov, Serge 2 2017 The equal tangents property. Zbl 1294.52004Jerónimo-Castro, Jesús; Ruiz-Hernández, Gabriel; Tabachnikov, Sergei 2 2014 Skewers. Zbl 1343.51004Tabachnikov, Serge 1 2016 Existence and nonexistence of skew branes. Zbl 1205.53060Tabachnikov, Serge 1 2010 An invariant of a submanifold transversal to a distribution. Zbl 0667.57017Tabachnikov, S. L. 1 1988 Characteristic classes of Lagrangian foliations. Zbl 0708.53036Tabachnikov, S. L. 1 1989 A cone eversion. Zbl 0827.53005Tabachnikov, S. 1 1995 Four equivalent properties of integrable billiards. Zbl 1470.37079Glutsyuk, Alexei; Izmestiev, Ivan; Tabachnikov, Serge 3 2021 Remarks on Joachimsthal integral and Poritsky property. Zbl 1485.37022Arnold, Maxim; Tabachnikov, Serge 1 2021 Wire billiards, the first steps. Zbl 1477.37035Bialy, Misha; Mironov, Andrey E.; Tabachnikov, Serge 3 2020 Tire tracks and integrable curve evolution. Zbl 1479.70036Bor, Gil; Levi, Mark; Perline, Ron; Tabachnikov, Sergei 1 2020 Kasner meets Poncelet. Zbl 1458.51003Tabachnikov, Serge 4 2019 Fun problems in geometry and beyond. Zbl 1431.00002Khesin, Boris; Tabachnikov, Serge 1 2019 Projective configuration theorems: old wine into new wineskins. Zbl 1451.51001Tabachnikov, Serge 1 2019 Open problems, questions and challenges in finite- dimensional integrable systems. Zbl 1407.53089Bolsinov, Alexey; Matveev, Vladimir S.; Miranda, Eva; Tabachnikov, Serge 8 2018 Introducing symplectic billiards. Zbl 1394.37098Albers, Peter; Tabachnikov, Serge 3 2018 Dual numbers, weighted quivers, and extended Somos and Gale-Robinson sequences. Zbl 1423.11031Ovsienko, Valentin; Tabachnikov, Serge 1 2018 Ivory’s theorem revisited. Zbl 1401.37062Izmestiev, Ivan; Tabachnikov, Serge 14 2017 Iterating evolutes and involutes. Zbl 1381.51007Arnold, Maxim; Fuchs, Dmitry; Izmestiev, Ivan; Tabachnikov, Serge; Tsukerman, Emmanuel 5 2017 Billiard transformations of parallel flows: a periscope theorem. Zbl 1373.49053Plakhov, Alexander; Tabachnikov, Serge; Treschev, Dmitry 4 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 13 2016 Centers of mass of Poncelet polygons, 200 years after. Zbl 1351.01013Schwartz, Richard; Tabachnikov, Sergei 11 2016 Hopf fibrations and Hurwitz-Radon numbers. Zbl 1372.55001Ovsienko, Valentin; Tabachnikov, Serge 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 Skewers. Zbl 1343.51004Tabachnikov, Serge 1 2016 The six circles theorem revisited. Zbl 1391.51012Ivanov, Dennis; Tabachnikov, 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 Introducing supersymmetric frieze patterns and linear difference operators. Zbl 1350.14038Morier-Genoud, Sophie; Ovsienko, Valentin; Tabachnikov, Serge 4 2015 Coxeter’s frieze patterns and discretization of the Virasoro orbit. Zbl 1339.58002Ovsienko, Valentin; Tabachnikov, Serge 3 2015 Remarks on the circumcenter of mass. Zbl 1331.51016Tabachnikov, Serge; Tsukerman, Emmanuel 2 2015 On curves and polygons with the equiangular chord property. Zbl 1386.37038Aougab, Tarik; Sun, Xidian; Tabachnikov, Serge; Wang, Yuwen 1 2015 A baker’s dozen of problems. Zbl 1326.53006Tabachnikov, Serge 1 2015 Linear difference equations, frieze patterns, and the combinatorial Gale transform. Zbl 1297.39004Morier-Genoud, Sophie; Ovsienko, Valentin; Schwartz, Richard Evan; Tabachnikov, Serge 13 2014 Circumcenter of mass and generalized Euler line. Zbl 1301.51023Tabachnikov, Serge; Tsukerman, Emmanuel 4 2014 Arnold: swimming against the tide. Zbl 1305.01045 3 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 22 2013 Tractrices, bicycle tire tracks, hatchet planimeters, and a 100-year-old conjecture. Zbl 1271.70025Foote, Robert; Levi, Mark; Tabachnikov, Serge 17 2013 Osculating curves: around the Tait-Kneser theorem. Zbl 1294.53003Ghys, Étienne; Tabachnikov, Sergei; Timorin, Vladlen 9 2013 On fibrations with flat fibres. Zbl 1309.57024Ovsienko, Valentin; Tabachnikov, Serge 5 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 The pentagram integrals on inscribed polygons. Zbl 1246.37091Schwartz, Richard Evan; Tabachnikov, Serge 4 2011 Periodic trajectories in the regular pentagon. Zbl 1276.37033Davis, Diana; Fuchs, Dmitry; 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 37 2010 Elementary surprises in projective geometry. Zbl 1204.51024Schwartz, Richard Evan; Tabachnikov, Serge 14 2010 Contact complete integrability. Zbl 1203.37094Khesin, B.; Tabachnikov, Serge 8 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 36 2009 What is... the Schwarzian derivative? Zbl 1176.53002Ovsienko, Valentin; Tabachnikov, Sergei 29 2009 On bicycle tire tracks geometry, Hatchet planimeter, Menzin’s conjecture, and oscillation of unicycle tracks. Zbl 1185.37146Levi, Mark; Tabachnikov, Serge 9 2009 Self-dual polygons and self-dual curves. Zbl 1180.51012Fuchs, Dmitry; Tabachnikov, Serge 8 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 On algebraically integrable outer billiards. Zbl 1250.37022Tabachnikov, Serge 12 2008 Totally skew embeddings of manifolds. Zbl 1140.53003Ghomi, Mohammad; Tabachnikov, Serge 11 2008 Mathematical omnibus. Thirty lectures on classic mathematics. Zbl 1318.00004Fuchs, Dmitry; Tabachnikov, Serge 31 2007 The Poncelet grid billiards in ellipses. Zbl 1140.51014Levi, Mark; Tabachnikov, Serge 25 2007 Geodesics on an ellipsoid in Minkowski space. Zbl 1144.37013Genin, Daniel; Khesin, Boris; Tabachnikov, Serge 19 2007 On configuration spaces of plane polygons, sub-Riemannian geometry and periodic orbits of outer billiards. Zbl 1139.53017Genin, Daniel; Tabachnikov, Serge 8 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 Geometry and billiards. Zbl 1119.37001Tabachnikov, Serge 102 2005 Projective differential geometry old and new. From the Schwarzian derivative to the cohomology of diffeomorphism groups. Zbl 1073.53001Ovsienko, V.; Tabachnikov, S. 88 2005 Dual billiards. Zbl 1088.37014Dogru, Filiz; Tabachnikov, Serge 14 2005 Remarks on magnetic flows and magnetic billiards, Finsler metrics and a magnetic analog of Hilbert’s fourth problem. Zbl 1148.37308Tabachnikov, Serge 6 2004 Topological robotics: Motion planning in projective spaces. Zbl 1030.68089Farber, Michael; Tabachnikov, Serge; Yuzvinsky, Sergey 46 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 131 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 14 2002 Ellipsoids, complete integrability and hyperbolic geometry. Zbl 1013.37029Tabachnikov, Serge 6 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 4 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 14 1999 More on paperfolding. Zbl 1037.53501Fuchs, Dmitry; Tabachnikov, Serge 9 1999 Fagnano orbits of polygonal dual billiards. Zbl 0958.52003Tabachnikov, 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 0978.53102Tabachnikov, Serge 1 1999 Appendix: Personal notes. Zbl 0960.01012Schwarz, 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 0904.57006Fuchs, Dmitry; Tabachnikov, Serge 44 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 7 1997 Introducing projective billiards. Zbl 0886.58064Tabachnikov, Serge 4 1997 Exact transverse line fields and projective billiards in a ball. Zbl 0970.37042Tabachnikov, S. 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 Sturm theory, Ghys theorem on zeroes of the Schwarzian derivative and flattening of Legendrian curves. Zbl 0972.58003Ovsienko, Valentin; Tabachnikov, Serge 10 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 ...and 16 more Documents all cited Publications top 5 cited Publications 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 all top 5 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. 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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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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