Gal'perin Gregorii Aleksandrovich

Publications in Math-Net.Ru

1. Бильярдные шары вычисляют $\pi$
   
   Mat. Pros., Ser. 3, 18 (2014),  180–204
2. Одна геометрическая задача, приводящая к биллиардному закону отражения
   
   Mat. Pros., Ser. 3, 15 (2011),  176–181
3. Two-dimensional configuration in the three-dimensional problem of four gravitating bodies
   
   Nelin. Dinam., 1:2 (2005),  215–232
4. Generalized billiards inside an infinite strip with periodic laws of reflection along the strip's boundaries
   
   Regul. Chaotic Dyn., 10:3 (2005),  285–306
5. Геометрическое решение проблемы В. В. Произволова
   
   Mat. Pros., Ser. 3, 8 (2004),  229–236
6. Бильярдная формула для измерения расстояний в геометрии Лобачевского
   
   Mat. Pros., Ser. 3, 8 (2004),  93–112
7. Relationship between Euclidean, Lobachevskian (hyperbolic), and billiard metrics and its application to a billiard problem in R$^d$
   
   Regul. Chaotic Dyn., 8:4 (2003),  441–448
8. Playing pool with $\pi$ (the number $\pi$ from a billiard point of view)
   
   Regul. Chaotic Dyn., 8:4 (2003),  375–394
9. Search light in billiard tables
   
   Regul. Chaotic Dyn., 8:2 (2003),  225–241
10. Convex Polyhedra without Simple Closed Geodesics
    
    Regul. Chaotic Dyn., 8:1 (2003),  45–58
11. Periodic Billiard Trajectories in Right Triangle
    
    Regul. Chaotic Dyn., 8:1 (2003),  29–44
12. Биллиардная динамическая система для числа $\pi$
    
    Mat. Pros., Ser. 3, 5 (2001),  137–138
13. Биллиарды и упругие столкновения частиц и шаров
    
    Mat. Pros., Ser. 3, 5 (2001),  65–99
14. Periodic billiard trajectories in polygons: generating mechanisms
    
    Uspekhi Mat. Nauk, 47:3(285) (1992),  9–74
15. Asymptotic behaviour of a particle in a Lorentz gas
    
    Uspekhi Mat. Nauk, 47:1(283) (1992),  209–210
16. The Lyusternik–Shnirel'man theorem for polyhedra
    
    Uspekhi Mat. Nauk, 46:6(282) (1991),  207–208
17. Periodic billiard trajectories in polygons
    
    Uspekhi Mat. Nauk, 46:5(281) (1991),  165–166
18. The concept of the center of mass of a system of mass points in spaces of constant curvature
    
    Dokl. Akad. Nauk SSSR, 302:5 (1988),  1039–1044
19. A solution of Proizvolov's problem of covering a multidimensional polyhedron by pyramids, and its generalizations
    
    Dokl. Akad. Nauk SSSR, 293:2 (1987),  283–288
20. Continuous motions in the space of configurations of rigid star-shaped bodies
    
    Uspekhi Mat. Nauk, 40:5(245) (1985),  251–252
21. The existence of nonperiodic and not everywhere dense billiard trajectories in polygons and polyhedra
    
    Dokl. Akad. Nauk SSSR, 275:1 (1984),  18–22
22. Systems of locally interacting and repelling particles that are moving in space
    
    Tr. Mosk. Mat. Obs., 43 (1981),  142–196
23. On an entropy characteristic of uniform means with local interaction
    
    Uspekhi Mat. Nauk, 36:6(222) (1981),  207–208
24. The asymptotic behaviour of a system of particles with repulsion
    
    Uspekhi Mat. Nauk, 36:5(221) (1981),  167–168
25. On systems of perfectly elastic balls moving in space or in a box
    
    Dokl. Akad. Nauk SSSR, 245:2 (1979),  285–288
26. Elastic collisions of particles on a line
    
    Uspekhi Mat. Nauk, 33:1(199) (1978),  211–212
27. Rates of Interaction Propagation in One-Dimensional Automaton Networks
    
    Probl. Peredachi Inf., 13:1 (1977),  73–81
28. One-dimensional local monotone operators with memory
    
    Dokl. Akad. Nauk SSSR, 228:2 (1976),  277–280
29. One-Dimensional Automaton Networks with Monotonic Local Interaction
    
    Probl. Peredachi Inf., 12:4 (1976),  74–87
30. Proof of convergence in the problem of rectification
    
    Mat. Sb. (N.S.), 94(136):1(5) (1974),  74–88


31. К 120-летию со дня рождения А.Н. Колмогорова
    
    Kvant, 2023, no. 5,  2–3
32. Теоремы Лежандра о сумме углов треугольника в абсолютной и гиперболической геометриях
    
    Mat. Pros., Ser. 3, 25 (2020),  19–37
33. Повесть о трёх кругах
    
    Mat. Pros., Ser. 3, 20 (2016),  111–134
34. 30-я Американская математическая олимпиада, год 2001
    
    Mat. Pros., Ser. 3, 6 (2002),  119–126
35. Мой друг Андрей Ходулёв
    
    Mat. Pros., Ser. 3, 4 (2000),  8–32