Dmitrii Treschev

Dmitrii Treschev's AcademicInfluence.com Rankings

Dmitrii Treschev

Mathematics

#6443

World Rank

#8920

Historical Rank

Group Theory

#431

World Rank

#501

Historical Rank

Number Theory

#465

World Rank

#573

Historical Rank

Algebra

#785

World Rank

#1018

Historical Rank

mathematics Degrees

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Mathematics

Why Is Dmitrii Treschev Influential?

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According to Wikipedia, Dmitrii Valerevich Treschev is a Russian mathematician and mathematical physicist, specializing in dynamical systems of classical mechanics. Education and career Treschev completed his secondary study in 1981 with degree from the Специализированный учебно-научный центр МГУ имени А.Н. Колмогорова . Treschev completed his undergraduate study in 1986 with degree from the Faculty of Mechanics and Mathematics, Moscow State University. There in 1988 he received his Candidate of Sciences degree with thesis Геометрические методы исследования периодических траекторий динамических систем under the supervision of Valerii Vasilievich Kozlov. In 1992 Treschev received his Russian Doctor of Sciences degree with thesis Качественные методы исследования гамильтоновых систем, близких к интегрируемым .

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Dmitrii Treschev's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Evolution of slow variables in a priori unstable Hamiltonian systems (2004) (123)
Introduction to the Perturbation Theory of Hamiltonian Systems (2009) (91)
Unbounded growth of energy in nonautonomous Hamiltonian systems (1999) (88)
Stable periodic motions in the problem on passage through a separatrix. (1997) (63)
Multidimensional Symplectic Separatrix Maps (2002) (49)
Arnold diffusion far from strong resonances in multidimensional a priori unstable Hamiltonian systems (2012) (41)
Separatrix maps in?Hamiltonian systems (2007) (40)
Trajectories in a neighbourhood of asymptotic surfaces of a priori unstable Hamiltonian systems (2002) (39)
Width of stochastic layers in near-integrable two-dimensional symplectic maps (1998) (37)
Billiard map and rigid rotation (2013) (33)
Remarks on the definition of hyperbolic tori of Hamiltonian systems (2000) (33)
An averaging method for Hamiltonian systems, exponentially close to integrable ones. (1996) (32)
Self-propulsion of a body with rigid surface and variable coefficient of lift in a perfect fluid (2012) (27)
The anti-integrable limit (2015) (26)
Lagrangian tori near resonances of near-integrable Hamiltonian systems (2013) (24)
On stability loss delay for a periodic trajectory (1996) (22)
Oscillator and thermostat (2009) (21)
Rolling of a Rigid Body Without Slipping and Spinning: Kinematics and Dynamics (2013) (21)
On a conjugacy problem in billiard dynamics (2015) (21)
Remarks on polynomial integrals of higher degrees for reversible systems with toral configuration space (2012) (18)
Travelling waves in FPU lattices (2004) (18)
Periodic orbits and stability islands in chaotic seas created by separatrix crossings in slow-fast systems (2008) (17)
A rigid cylinder on a viscoelastic plane (2011) (17)
Stability islands in the vicinity of separatrices of near-integrable symplectic maps (2008) (13)
Billiard transformations of parallel flows: A periscope theorem (2016) (13)
On New Forms of the Ergodic Theorem (2003) (13)
A locally integrable multi-dimensional billiard system (2016) (12)
Ball on a viscoelastic plane (2013) (12)
Continuous averaging in multi-frequency slow-fast systems (2007) (11)
Topology of the configuration space, singularities of the potential, and polynomial integrals of equations of dynamics (2016) (11)
Stability islands in domains of separatrix crossings in slow-fast Hamiltonian systems (2006) (10)
On the motion of free disc on the rough horisontal plane (2012) (10)
Polymorphisms and adiabatic chaos (2010) (10)
Gibbs entropy and dynamics. (2008) (8)
Relative version of the Titchmarsh convolution theorem (2012) (8)
On Local Integrability in Billiard Dynamics (2019) (7)
On the final motion of cylindrical solids on a rough plane (2012) (7)
A rigid body on a surface with random roughness (2014) (6)
Averaging in multi–frequency slow–fast systems (2000) (6)
Coarse-grained entropy in dynamical systems (2010) (6)
Instability, Asymptotic Trajectories and Dimension of the Phase Space (2018) (5)
Relative version of the Titchmarsh convolution theorem (2012) (5)
Closures of Asymptotic Curves in a Two-Dimensional Symplectic Map (1998) (5)
Continuous Averaging in Hamiltonian Systems (1999) (3)
The Continuous Averaging Method (2009) (3)
On the inclusion of a map into a flow (2016) (3)
Volume preserving diffeomorphisms as Poincaré maps for volume preserving flows (2019) (3)
Continuous Averaging in Dynamical Systems (2003) (3)
$$\mu $$ μ -Norm and Regularity (2021) (3)
Weak Convergence of Measures in Conservative Systems (2005) (2)
Hamiltonian Systems with a Functional Parameter in the Form of a Potential (2022) (2)
Arnold diffusion in a neighborhood of strong resonances (2016) (2)
On the support of a body by a surface with random roughness (2013) (2)
In memory of Evgenii Frolovich Mishchenko (2010) (2)
Isochronicity in 1 DOF (2021) (2)
Some aspects of finite-dimensional Hamiltonian dynamics (2008) (2)
$$\mu$$ -Norm of an Operator (2020) (1)
Arnold diffusion in multidimensional a priori unstable Hamiltonian systems (2018) (1)
Introduction to the KAM Theory (2009) (1)
Coarse-grained entropy in dynamical systems (2010) (1)
Noncommutative structures (2007) (0)
D S ] 3 0 D ec 2 02 1 μ-norm and regularity (2022) (0)
On a Heavy Quantum Particle (2019) (0)
The Separatrix Map (2009) (0)
Dynamics in a neigborhood of separatrices of an area-preserving map (1998) (0)
Valery Vasilievich Kozlov on his 60th birthday (2010) (0)
D S ] 3 0 D ec 2 02 1 μ-norm of an operator (2022) (0)
On the inclusion of a map into a flow (2016) (0)
Self-propulsion of a body with rigid surface and variable coefficient of lift in a perfect fluid (2012) (0)
ON COLISSIONS IN NONHOLONOMIC SYSTEMS (2012) (0)
Free puck on a rough horizontal plane (2012) (0)
A rigid body on a surface with random roughness (2014) (0)
Quasiperiodic Version of Gordon’s Theorem (2023) (0)
Dynamical phenomena connected with stability loss of equilibria and periodic trajectories (2021) (0)
Normalization flow (2023) (0)
Loughborough University Institutional Repository Polymorphisms and adiabatic chaos (2018) (0)
On a conjugacy problem in billiard dynamics (2015) (0)
Entropy of a Unitary Operator in C J (2022) (0)
Sergei Ivanovich Adian (2021) (0)
Валерию Васильевичу Козлову - 60 лет@@@Valerii Vasil'evich Kozlov has turned 60 years old (2010) (0)
Splitting of Asymptotic Manifolds (2009) (0)
On a quantum heavy particle (2018) (0)
Vladimir Antonovich Zorich (2018) (0)
Valerii Vasil’evich Kozlov (2020) (0)
Mikhail Ivanovich Shtogrin (2019) (0)
Valerii Vasil'evich Kozlov has turned 60 years old (2010) (0)
A Cahn – Hilliard model with dynamic boundary conditions (2012) (0)
Entropy of a unitary operator on [IMG align=ABSMIDDLE alt=$ L^2(\mathbb{T}^n)$]tex_sm_5018_img1[/IMG] (2022) (0)
Leonid Pavlovich Shil'nikov (obituary) (2012) (0)
Andrei Gennad'evich Kulikovskii (on his 80th birthday) (2013) (0)
On a Heavy Quantum Particle (2019) (0)
Viktor Stepanovich Kulikov (on his seventieth birthday) (2022) (0)
Anatolii Iserovish Neishtadt (2020) (0)
Anatolii Iserovich Neishtadt (on his seventieth birthday) (2020) (0)
Entropy of a Unitary Operator in $$\mathbb C^J$$ (2022) (0)
Vladimir Mikhailovich Zakalyukin (obituary) (2012) (0)
Arnold diffusion in a neighborhood of strong resonances (2016) (0)
On Collisions in Nonholonomic systems (2012) (0)
Width of the Stochastic Layer (2009) (0)
Ball on a viscoelastic plane (2013) (0)
On weak solutions to the lagrange-d'alembert equation (2013) (0)

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What Schools Are Affiliated With Dmitrii Treschev?

Dmitrii Treschev is affiliated with the following schools:

Moscow State University

Dmitrii Treschev's Academic­Influence.com Rankings

Why Is Dmitrii Treschev Influential?

Dmitrii Treschev's Published Works

Published Works

Other Resources About Dmitrii Treschev

What Schools Are Affiliated With Dmitrii Treschev?

Dmitrii Treschev's AcademicInfluence.com Rankings