Persons: Treschev Dmitry Valerevich, List of publications

PEOPLE

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Articles


2025
1.	Dmitrii Treschev, “O kvantovoi teoreme Floke”, Funkts. analiz i ego pril., 59:1 (2025), 123–140
2.	Izv. Math., 89:1 (2025), 172–195

2024
3.	S. Bolotin, D. Treschev, “Another billiard problem”, Russ. J. Math. Phys., 31:1 (2024), 50–59
4.	D. V. Treschev, E. I. Kugushev, T. V. Popova, S. V. Bolotin, Yu. F. Golubev, V. A. Samsonov, Yu. D. Seliutski, “Chair of Theoretical Mechanics and Mechatronics”, Moscow University Mеchanics Bulletin, 79:6 (2024), 200–211

2023
5.	Sergey V. Bolotin, Dmitry V. Treschev, “Quasiperiodic Version of Gordon’s Theorem”, Regul. Chaotic Dyn., 28:1 (2023), 5–13
6.	D. V. Treschev, “On Isochronicity”, Proc. Steklov Inst. Math., 322 (2023), 198–223
7.	Dmitry V. Treschev, “Normalization Flow”, Regul. Chaotic Dyn., 28:4 (2023), 781–804

2022
8.	K. A. Afonin, D. V. Treschev, “Entropy of a unitary operator on $L^2(\pmb{\mathbb{T}}^n)$”, Sb. Math., 213:7 (2022), 925–980
9.	Dmitry V. Treschev, “Isochronicity in 1 DOF”, Regul. Chaotic Dyn., 27:2 (2022), 123–131
10.	D. V. Treschev, “Hamiltonian systems with a functional parameter in the form of a potential”, Russ. J. Math. Phys., 29 (2022), 402–412
11.	D. V. Treschev, A. O. Chernyshev, “Entropy of a Unitary Operator in $\mathbb C^J$”, Math. Notes, 112:6 (2022), 984–1002

2021
12.	D. Treschev, “$\mu$-Norm and Regularity”, J. Dyn. Differ. Equations, 33:3 (2021), 1269–1295
13.	A. I. Neishtadt, D. V. Treschev, “Dynamical phenomena connected with stability loss of equilibria and periodic trajectories”, Russian Math. Surveys, 76:5 (2021), 883–926

2020
14.	D. V. Treschev, “Volume preserving diffeomorphisms as Poincaré maps for volume preserving flows”, Russian Math. Surveys, 75:1 (2020), 187–189
15.	D. V. Treschev, “$\mu $-Norm of an Operator”, Proc. Steklov Inst. Math., 310 (2020), 262–290

2019
16.	V. Schastnyy, D. Treschev, “On Local Integrability in Billiard Dynamics”, Exp. Math., 28:3 (2019), 362–368
17.	D. V. Treschev, O. E. Zubelevich, “On a heavy quantum particle”, Russ. J. Math. Phys., 26:1 (2019), 109–121

2018
18.	V. V. Kozlov, D. V. Treschev, “Instability, asymptotic trajectories and dimension of the phase space”, Mosc. Math. J., 18:4 (2018), 681–692

2017
19.	Alexander Plakhov, Serge Tabachnikov, Dmitry Treschev, “Billiard transformations of parallel flows: A periscope theorem”, J. Geom. Phys., 115:5 (2017), 157–166 , arXiv: 1602.07961
20.	D. V. Treschev, A. A. Shkalikov, “On the Hamiltonian Property of Linear Dynamical Systems in Hilbert Space”, Math. Notes, 101:6 (2017), 1033–1039
21.	Dmitry Treschev, “A locally integrable multi-dimensional billiard system”, Discrete Contin. Dyn. Syst. Ser. A, 37:10 (2017), 5271–5284

2016
22.	Sergey M. Saulin, Dmitry V. Treschev, “On the Inclusion of a Map Into a Flow”, Regul. Chaotic Dyn., 21:5 (2016), 538–547
23.	M. N. Davletshin, D. V. Treschev, “Arnold diffusion in a neighborhood of strong resonances”, Proc. Steklov Inst. Math., 295 (2016), 63–94
24.	V. V. Kozlov, D. V. Treschev, “Topology of the configuration space, singularities of the potential, and polynomial integrals of equations of dynamics”, Sb. Math., 207:10 (2016), 1435–1449

2015
25.	D. V. Treschev, “On a Conjugacy Problem in Billiard Dynamics”, Proc. Steklov Inst. Math., 289 (2015), 291–299
26.	A. G. Medvedev, A. I. Neishtadt, D. V. Treschev, “Lagrangian tori near resonances of near-integrable Hamiltonian systems”, Nonlinearity, 28:7 (2015), 2105–2130
27.	S. V. Bolotin, D. V. Treschev, “The anti-integrable limit”, Russian Math. Surveys, 70:6 (2015), 975–1030

2014
28.	D. Burlakov, D. Treschev, “A rigid body on a surface with random roughness”, Regul. Chaotic Dyn., 19:3 (2014), 296–309

2013
29.	A. A. Zobova, D. V. Treschev, “Ball on a Viscoelastic Plane”, Proc. Steklov Inst. Math., 281 (2013), 91–118
30.	D. Treschev, “Billiard map and rigid rotation”, Phys. D, 255 (2013), 31–34
31.	D. Treschev and O. Zubelevich, “On weak solutions to the Lagrange-D'Alembert equation”, Appl. Math. (Warsaw), 40:3 (2013), 383–392

2012
32.	T. V. Salnikova, D. V. Treschev, S. R. Gallyamov, “On the motion of free disc on the rough horisontal plane”, Nelin. Dinam., 8:1 (2012), 83–101
33.	E. A. Gorin, D. V. Treschev, “Relative Version of the Titchmarsh Convolution Theorem”, Funct. Anal. Appl., 46:1 (2012), 26–32
34.	N. V. Denisova, V. V. Kozlov, D. V. Treschev, “Remarks on polynomial integrals of higher degrees for reversible systems with toral configuration space”, Izv. Math., 76:5 (2012), 907–921
35.	Dmitrii V. Treschev, Nadezhda N. Erdakova, Tatyana B. Ivanova, “On the final motion of cylindrical solids on a rough plane”, Nelin. Dinam., 8:3 (2012), 585–603
36.	Sergey M. Ramodanov, Valentin A. Tenenev, Dmitrii V. Treschev, “Self-propulsion of a body with rigid surface and variable coefficient of lift in a perfect fluid”, Nelin. Dinam., 8:4 (2012), 799–813

2013
37.	Alexey V. Borisov, Ivan S. Mamaev, Dmitrii V. Treschev, “Rolling of a rigid body without slipping and spinning: kinematics and dynamics”, J. Appl. Nonlinear Dyn., 2:2 (2013), 161–173

2012
38.	S. M. Ramodanov, V. A. Tenenev, D. V. Treschev, “Self-propulsion of a body with rigid surface and variable coefficient of lift in a perfect fluid”, Regul. Chaotic Dyn., 17:6 (2012), 547–558
39.	D. Treschev, “Arnold diffusion far from strong resonances in multidimensional a priori unstable Hamiltonian systems”, Nonlinearity, 25:9 (2012), 2717–2757

2011
40.	Alexander S. Kuleshov, D. V. Treschev, T. B. Ivanova, O. S. Naimushina, “A rigid cylinder on a viscoelastic plane”, Nelin. Dinam., 7:3 (2011), 601–625
41.	A. Neishtadt, D. Treschev, “Polymorphisms and adiabatic chaos”, Ergodic Theory Dynam. Systems, 31:1 (2011), 259–284

2010
42.	S. V. Bolotin, D. V. Treschev, “Hill's formula”, Russian Math. Surveys, 65:2 (2010), 191–257
43.	G. Piftankin, D. Treschev, “Coarse-grained entropy in dynamical systems”, Regul. Chaotic Dyn., 15:4-5 (2010), 575–597
44.	D. Treschev, “Oscillator and thermostat”, Discrete Contin. Dyn. Syst., 28:4 (2010), 1693–1712

2008
45.	D. V. Treschev, “Some aspects of finite-dimensional Hamiltonian dynamics”, Hamiltonian dynamical systems and applications, NATO Sci. Peace Secur. Ser. B Phys. Biophys., Springer, Dordrecht, 2008, 1–19
46.	G. Piftankin, D. Treschev, “Gibbs entropy and dynamics”, Chaos, 18:2 (2008), Article ID 023116 , 11 pp.
47.	C. Simó, D. Treschev, “Stability islands in the vicinity of separatrices of near-integrable symplectic maps”, Discrete Contin. Dyn. Syst. Ser. B, 10:2-3 (2008), 681–698
48.	A. Neishtadt, C. Simó, D. Treschev, A. Vasiliev, “Periodic orbits and stability islands in chaotic seas created by separatrix crossings in slow-fast systems”, Discrete Contin. Dyn. Syst. Ser. B, 10:2-3 (2008), 621–650
Books


2010
49.	D. Treschev, O. Zubelevich, Introduction to the perturbation theory of Hamiltonian systems, Springer Monogr. Math., Springer-Verlag, Berlin, 2010 , x+211 pp.
Popular science or education materials

50.	S. V. Bolotin, A. V. Karapetyan, E. I. Kugushev, D. V. Treschev, Teoreticheskaya mekhanika, Izd-vo «Akademiya», Moskva, 2010 , 432 pp.
Information matherials


2024
51.	N. N. Andreev, M. A. Vsemirnov, S. O. Gorchinskiy, D. N. Zaporozhets, S. V. Kislyakov, V. V. Kozlov, M. A. Korolev, D. O. Orlov, Yu. S. Osipov, D. V. Treschev, P. A. Yaskov, “Steklov Institute – 90!”, Russian Math. Surveys, 79:3 (2024), 557–562

2019
52.	V. A. Alexandrov, L. D. Beklemishev, V. M. Buchstaber, A. Yu. Vesnin, A. A. Gaifullin, N. P. Dolbilin, N. Yu. Erokhovets, M. D. Kovalev, V. S. Makarov, S. P. Novikov, D. O. Orlov, A. N. Parshin, I. Kh. Sabitov, D. V. Treschev, O. K. Sheinman, E. V. Shchepin, “Mikhail Ivanovich Shtogrin (on his 80th birthday)”, Russian Math. Surveys, 74:6 (2019), 1159–1162
Personalia


2025
53.	A. V. Bulinski, A. A. Gushchin, M. V. Zhitlukhin, V. V. Kozlov, A. D. Manita, A. A. Muravlev, A. A. Novikov, I. V. Pavlov, D. V. Treschev, A. S. Holevo, E. B. Yarovaya, P. A. Yaskov, “Albert Nikolaevich Shiryaev (on his 90th birthday)”, Russian Math. Surveys, 80:1 (2025), 161–168
54.	T. Bakiev, A. I. Bufetov, V. A. Vassiliev, S. M. Voronin, A. A. Glutsyuk, A. S. Gorodetski, A. V. Dukov, V. Yu. Kaloshin, A. V. Klimenko, V. V. Kozlov, S. B. Kuksin, S. K. Lando, V. S. Oganesyan, G. I. Olshanski, S. Yu. Pilyugin, O. V. Pochinka, Ya. G. Sinai, A. S. Skripchenko, A. L. Skubachevskii, I. A. Taimanov, V. A. Timorin, V. M. Tikhomirov, D. V. Treschev, D. A. Filimonov, K. M. Khanin, H. Hedenmalm, A. G. Khovanskii, M. A. Tsfasman, A. I. Shafarevich, I. S. Shilin, S. Yu. Yakovenko, “On the 80th birthday of Yulij Sergeevich Ilyashenko”, Russian Math. Surveys, 80:2 (2025), 345–357

2024
55.	S. O. Gorchinskiy, V. G. Danilov, S. Yu. Dobrokhotov, V. V. Kozlov, V. E. Nazaikinskii, N. N. Nefedov, D. O. Orlov, S. A. Stepin, I. A. Taimanov, D. V. Treschev, N. A. Tyurin, A. T. Fomenko, S. E. Yakush, “Andrei Igorevich Shafarevich (on his sixtieth birthday)”, Russian Math. Surveys, 79:3 (2024), 553–556
56.	A. I. Aptekarev, S. I. Bezrodnykh, M. A. Guzev, S. I. Kabanikhin, B. S. Kashin, S. V. Kislyakov, V. V. Kozlov, N. Yu. Lukoyanov, M. B. Markov, D. O. Orlov, Yu. S. Osipov, I. B. Petrov, V. P. Platonov, I. A. Taimanov, V. F. Tishkin, D. V. Treschev, E. E. Tyrtyshnikov, M. V. Yakobovskiy, “Boris Nikolaevich Chetverushkin (on his eightieth birthday)”, Russian Math. Surveys, 79:4 (2024), 739–745
57.	S. V. Bolotin, A. T. Il'ichev, V. V. Kozlov, D. V. Treshchev, A. P. Chugainova, “Andrei Gennad'evich Kulikovskii (obituary)”, Russian Math. Surveys, 79:5 (2024), 919–921

2022
58.	F. A. Bogomolov, S. O. Gorchinskiy, A. B. Zheglov, V. V. Nikulin, D. O. Orlov, D. V. Osipov, A. N. Parshin, V. L. Popov, V. V. Przyjalkowski, Yu. G. Prokhorov, M. Reid, A. G. Sergeev, D. V. Treschev, A. K. Tsikh, I. A. Cheltsov, E. M. Chirka, “Viktor Stepanovich Kulikov (on his 70th birthday)”, Russian Math. Surveys, 77:3 (2022), 555–557
59.	I. Ya. Aref'eva, V. V. Belokurov, E. E. Boos, D. V. Bykov, I. V. Volovich, D. I. Kazakov, V. V. Kozlov, M. V. Libanov, V. A. Matveev, V. A. Rubakov, D. V. Treshchev, G. V. Trubnikov, “In memory of Andrei Alekseevich Slavnov”, Phys. Usp., 65:11 (2022), 1204–1205

2021
60.	V. S. Atabekyan, L. D. Beklemishev, V. M. Buchstaber, S. S. Goncharov, V. S. Guba, Yu. L. Ershov, V. V. Kozlov, I. G. Lysenok, S. P. Novikov, Yu. S. Osipov, M. R. Pentus, V. V. Podolskii, A. A. Razborov, V. A. Sadovnichii, A. L. Semenov, A. L. Talambutsa, D. V. Treschev, L. N. Shevrin, “Sergei Ivanovich Adian (obituary)”, Russian Math. Surveys, 76:1 (2021), 177–181
61.	A. I. Aptekarev, D. E. Apushkinskaya, O. V. Besov, V. I. Burenkov, V. V. Vlasov, R. V. Gamkrelidze, M. L. Gol'dman, G. V. Demidenko, V. G. Zadorozhniy, V. V. Kozlov, G. G. Lazareva, S. P. Novikov, V. M. Savchin, V. A. Sadovnichii, A. L. Skubachevskii, A. P. Soldatov, D. V. Treschev, M. A. Ragusa, H.-O. Walther, “Vladimir Mikhailovich Filippov”, Dedicated to 70th anniversary of the President of the RUDN University V. M. Filippov, CMFD, 67, no. 3, PFUR, M., 2021, 423–426
62.	P. A. Borodin, I. A. Ibragimov, B. S. Kashin, V. V. Kozlov, A. V. Kolesnikov, S. V. Konyagin, E. D. Kosov, O. G. Smolyanov, N. A. Tolmachev, D. V. Treshchev, A. V. Shaposhnikov, S. V. Shaposhnikov, A. N. Shiryaev, A. A. Shkalikov, “Vladimir Igorevich Bogachev (on his 60th birthday)”, Russian Math. Surveys, 76:6 (2021), 1149–1157
63.	O. V. Anashkin, P. M. Akhmet'ev, D. V. Balandin, M. K. Barinova, I. V. Boykov, V. N. Belykh, P. A. Vel'misov, I. Yu. Vlasenko, O. E. Galkin, S. Yu. Galkina, V. K. Gorbunov, S. D. Glyzin, S. V. Gonchenko, A. S. Gorodetski, E. V. Gubina, E. Ya. Gurevich, A. A. Davydov, L. S. Efremova, R. V. Zhalnin, A. Yu. Zhirov, E. V. Zhuzhoma, N. I. Zhukova, S. Kh. Zinina, Yu. S. Ilyashenko, N. V. Isaenkova, A. O. Kazakov, A. V. Klimenko, S. A. Komech, Yu. A. Kordyukov, V. E. Kruglov, E. V. Kruglov, E. B. Kuznetsov, S. K. Lando, Yu. A. Levchenko, L. M. Lerman, M. I. Malkin, D. S. Malyshev, V. K. Mamaev, T. Ph. Mamedova, V. S. Medvedev, T. V. Medvedev, D. I. Mints, T. M. Mitryakova, A. D. Morozov, A. I. Morozov, E. V. Nozdrinova, E. N. Pelinovsky, Ya. B. Pesin, A. S. Pikovsky, S. Yu. Pilyugin, G. M. Polotovsky, O. V. Pochinka, I. D. Remizov, P. E. Ryabov, A. S. Skripchenko, A. V. Slunyaev, S. V. Sokolov, L. A. Sukharev, E. A. Talanova, V. A. Timorin, S. B. Tikhomirov, V. F. Tishkin, D. V. Treschev, D. , “To the 75th anniversary of Vyacheslav Zigmundovich Grines”, Zhurnal SVMO, 23:4 (2021), 472–476

2020
64.	S. I. Adian, V. M. Buchstaber, E. I. Zelmanov, S. V. Kislyakov, V. V. Kozlov, Yu. V. Matiyasevich, S. P. Novikov, D. O. Orlov, A. N. Parshin, V. L. Popov, D. V. Treschev, “Vladimir Petrovich Platonov (on his 80th birthday)”, Russian Math. Surveys, 75:2 (2020), 387–391
65.	A. V. Artem'ev, S. V. Bolotin, D. L. Vainchtein, A. A. Vasiliev, S. Yu. Dobrokhotov, L. M. Zelenyi, V. V. Kozlov, A. A. Petrukovich, V. V. Sidorenko, D. V. Treschev, A. I. Shafarevich, “Anatolii Iserovish Neishtadt (on his 70th birthday)”, Russian Math. Surveys, 75:5 (2020), 981–989
66.	S. V. Bolotin, A. V. Borisov, A. V. Karapetyan, B. S. Kashin, E. I. Kugushev, A. I. Neishtadt, D. O. Orlov, D. V. Treschev, “Valerii Vasil'evich Kozlov (on his 70th birthday)”, Russian Math. Surveys, 75:6 (2020), 1165–1180

2019
67.	A. I. Aptekarev, A. M. Akhtyamov, O. V. Besov, A. A. Vladimirov, B. S. Kashin, K. A. Mirzoev, S. N. Naboko, R. O. Oinarov, I. V. Sadovnichaya, A. M. Savchuk, A. G. Sergeev, V. D. Stepanov, Ya. T. Sultanaev, D. V. Treschev, I. A. Sheipak, “Andrei Andreevich Shkalikov (on his seventieth birthday)”, Trans. Moscow Math. Soc., 80 (2019), 113–122

2018
68.	A. I. Aptekarev, V. M. Buchstaber, V. A. Vassiliev, M. L. Gromov, Yu. S. Ilyashenko, B. S. Kashin, V. M. Keselman, V. V. Kozlov, M. L. Kontsevich, I. M. Krichever, N. G. Kruzhilin, S. K. Lando, Yu. I. Manin, G. A. Margulis, S. Yu. Nemirovski, S. P. Novikov, Yu. G. Reshetnyak, Ya. G. Sinai, S. P. Suetin, D. V. Treschev, D. B. Fuchs, A. G. Khovanskii, E. M. Chirka, A. S. Schwarz, A. N. Shiryaev, “Vladimir Antonovich Zorich (on his 80th birthday)”, Russian Math. Surveys, 73:5 (2018), 935–939

2013
69.	A. T. Il'ichev, V. V. Kozlov, D. V. Trechshev, A. P. Chugainova, “Andrei Gennad'evich Kulikovskii (on his 80th birthday)”, Russian Math. Surveys, 68:6 (2013), 1145–1155

2012
70.	A. A. Agrachev, D. V. Anosov, I. A. Bogaevskii, A. S. Bortakovskii, A. B. Budak, V. A. Vassiliev, V. V. Goryunov, S. M. Gusein-Zade, A. A. Davydov, V. R. Zarodov, V. D. Sedykh, D. V. Treshchev, V. N. Chubarikov, “Vladimir Mikhailovich Zakalyukin (obituary)”, Russian Math. Surveys, 67:2 (2012), 375–379
71.	D. V. Anosov, V. S. Afraimovich, L. A. Bunimovich, S. V. Gonchenko, V. Z. Grines, Yu. S. Ilyashenko, A. B. Katok, S. A. Kashchenko, V. V. Kozlov, L. M. Lerman, A. D. Morozov, A. I. Neishtadt, Ya. B. Pesin, A. M. Samoilenko, Ya. G. Sinai, D. V. Treschev, D. V. Turaev, A. N. Sharkovskii, A. L. Shil'nikov, “Leonid Pavlovich Shil'nikov (obituary)”, Russian Math. Surveys, 67:3 (2012), 573–577

2010
72.	S. V. Bolotin, A. A. Gonchar, S. P. Konovalov, E. F. Mishchenko, Yu. S. Osipov, V. A. Sadovnichii, A. G. Sergeev, Ya. V. Tatarinov, D. V. Treschev, L. D. Faddeev, “Valerii Vasil'evich Kozlov has turned 60 years old”, Russian Math. Surveys, 65:2 (2010), 389–395
73.	S. V. Bolotin, A. V. Borisov, A. A. Kilin, I. S. Mamaev, D. V. Treschev, “Valery Vasilievich Kozlov on his 60th birthday”, Regul. Chaotic Dyn., 15:4-5 (2010), 419–424
74.	A. V. Borisov, S. V. Bolotin, A. A. Kilin, I. S. Mamaev, D. V. Treschev, “Valery V. Kozlov: On the sixtieth birthday”, Nelin. Dinam., 6:3 (2010), 461–488
75.	Yu. S. Osipov, V. V. Kozlov, L. D. Faddeev, D. V. Anosov, V. S. Vladimirov, R. V. Gamkrelidze, A. A. Gonchar, N. N. Krasovskii, A. V. Kryazhimskii, A. B. Kurzhanskii, S. P. Novikov, S. M. Aseev, A. B. Zhizhchenko, D. V. Treschev, A. A. Agrachev, E. A. Volkov, N. L. Grigorenko, A. A. Davydov, M. I. Zelikin, A. Yu. Kolesov, A. A. Mal'tsev, M. S. Nikol'skii, N. Kh. Rozov, A. G. Sergeev, K. O. Besov, S. P. Konovalov, “In memory of Evgenii Frolovich Mishchenko”, Proc. Steklov Inst. Math., 271 (2010), 1–2

2009
76.	V. Buchstaber, S. Gusein-Zade, Yu. Ilyashenko, V. Kozlov, S. Natanzon, O. Sheinman, A. Sossinsky, D. Treschev, M. Tsfasman, “Armen Sergeev”, Mosc. Math. J., 9:2 (2009), 439–440

2008
77.	K. E. Yakimova, Ya. V. Tatarinov, D. V. Treshchev, A. V. Karapetyan, “D. E. Okhotsimskiĭ: a half-century at Moscow State University”, Vestnik Moskov. Univ. Ser. I Mat. Mekh., 2008, no. 6, 3–5
Miscellaneous


2021
78.	Analiticheskaya i kombinatornaya teoriya chisel, Sbornik statei. K 130-letiyu so dnya rozhdeniya akademika Ivana Matveevicha Vinogradova, Trudy MIAN, 314, ed. D. V. Treschev, S. V. Konyagin, V. N. Chubarikov, M. A. Korolev, M. R. Gabdullin, MIAN, M., 2021 , 346 pp.

2020
79.	Izbrannye voprosy matematiki i mekhaniki, Sbornik statei. K 70-letiyu so dnya rozhdeniya akademika Valeriya Vasilevicha Kozlova, Trudy MIAN, 310, ed. D. V. Treschev, S. V. Bolotin, A. G. Kulikovskii, I. A. Taimanov, MIAN, M., 2020 , 341 pp. ; ; ; ; ; ; ;

Full list of publications

Articles

Books

Popular science or education materials

Information matherials

Personalia

Miscellaneous