Persons: Treschev Dmitry Valerevich, List of publications

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Treschev Dmitry Valerevich

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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.	D. Treschev, O. Zubelevich, Introduction to the perturbation theory of Hamiltonian systems, Springer Monogr. Math., Springer-Verlag, Berlin, 2010 , x+211 pp.
43.	S. V. Bolotin, D. V. Treschev, “Hill's formula”, Russian Math. Surveys, 65:2 (2010), 191–257
44.	G. Piftankin, D. Treschev, “Coarse-grained entropy in dynamical systems”, Regul. Chaotic Dyn., 15:4-5 (2010), 575–597
45.	D. Treschev, “Oscillator and thermostat”, Discrete Contin. Dyn. Syst., 28:4 (2010), 1693–1712

2008
46.	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
47.	G. Piftankin, D. Treschev, “Gibbs entropy and dynamics”, Chaos, 18:2 (2008), Article ID 023116 , 11 pp.
48.	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
49.	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

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