Tabachnikov Sergei L'vovich

Publications in Math-Net.Ru

1. On cusps of caustics by reflection in two dimensional projective Finsler metrics
   
   Theor. Appl. Mech., 52:1 (2025),  75–86
2. Iterating skew evolutes and skew involutes: a linear analog of bicycle kinematics
   
   Mosc. Math. J., 23:4 (2023),  625–640
3. Remarks on Rigidity Properties of Conics
   
   Regul. Chaotic Dyn., 27:1 (2022),  18–23
4. Two Variations on the Periscope Theorem
   
   Regul. Chaotic Dyn., 25:1 (2020),  11–17
5. On the 80th Birthday of Dmitry Borisovich Fuchs
   
   SIGMA, 16 (2020), 023, 17 pp.
6. Counting Periodic Trajectories of Finsler Billiards
   
   SIGMA, 16 (2020), 022, 33 pp.
7. Fun Problems in Geometry and Beyond
   
   SIGMA, 15 (2019), 097, 21 pp.
8. Billiard transformations of parallel flows: A periscope theorem
   
   J. Geom. Phys., 115:5 (2017),  157–166
9. Iterating evolutes of spacial polygons and of spacial curves
   
   Mosc. Math. J., 17:4 (2017),  667–689
10. Periodic trajectories in the regular pentagon, II
    
    Mosc. Math. J., 13:1 (2013),  19–32
11. Periodic trajectories in the regular pentagon
    
    Mosc. Math. J., 11:3 (2011),  439–461
12. Двадцать семь прямых
    
    Mat. Pros., Ser. 3, 12 (2008),  145–160
13. Hyperbolic Carathéodory Conjecture
    
    Trudy Mat. Inst. Steklova, 258 (2007),  185–200
14. Complexity of piecewise convex transformations in two dimensions, with applications to polygonal billiards on surfaces of constant curvature
    
    Mosc. Math. J., 6:4 (2006),  673–701
15. On skew loops, skew branes and quadratic hypersurfaces
    
    Mosc. Math. J., 3:2 (2003),  681–690
16. On Polygonal Dual Billiard in the Hyperbolic Plane
    
    Regul. Chaotic Dyn., 8:1 (2003),  67–81
17. Ellipsoids, complete integrability and hyperbolic geometry
    
    Mosc. Math. J., 2:1 (2002),  183–196
18. Внешний биллиард
    
    Mat. Pros., Ser. 3, 5 (2001),  125–135
19. On Functions with Zero Mean over a Finite Group
    
    Funktsional. Anal. i Prilozhen., 31:1 (1997),  93–94
20. Dual billiards
    
    Uspekhi Mat. Nauk, 48:6(294) (1993),  75–102
21. Two remarks on the asymptotic Hopf invariant
    
    Funktsional. Anal. i Prilozhen., 24:1 (1990),  84–85
22. Around four vertices
    
    Uspekhi Mat. Nauk, 45:1(271) (1990),  191–192
23. Characteristic classes of Lagrangian foliations
    
    Funktsional. Anal. i Prilozhen., 23:2 (1989),  90–91
24. Computation of the Bennequin invariant of a Legendre curve from the geometry of its front
    
    Funktsional. Anal. i Prilozhen., 22:3 (1988),  89–90
25. An invariant of a submanifold transversal to a distribution
    
    Uspekhi Mat. Nauk, 43:3(261) (1988),  193–194
26. Characteristic classes of parabolic fiberings of the series $B$, $C$, and $D$, and the degrees of isotropic Grassmanians
    
    Funktsional. Anal. i Prilozhen., 20:2 (1986),  84–85
27. Characteristic classes of Grassmanian bundles
    
    Funktsional. Anal. i Prilozhen., 19:1 (1985),  83–84
28. General position homology of the Lie algebra of vector fields on the line
    
    Dokl. Akad. Nauk SSSR, 275:2 (1984),  310–313
29. On characteristic classes of homogeneous foliations
    
    Uspekhi Mat. Nauk, 39:2(236) (1984),  189–190
30. Invariant differential operators of general position
    
    Funktsional. Anal. i Prilozhen., 16:3 (1982),  86–87


31. Невозможные замощения
    
    Kvant, 2011, no. 2,  19–26
32. Contact complete integrability
    
    Regul. Chaotic Dyn., 15:4-5 (2010),  504–520
33. Прямая Сильвестра (окончание)
    
    Kvant, 2009, no. 6,  6–9
34. Прямая Сильвестра
    
    Kvant, 2009, no. 5,  2–6