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Vassili Gelfreich Professor of Mathematics Office: B2.07 Phone: +44 (0)24 7652 8331 Email: V dot Gelfreich at warwick dot ac dot uk

Teaching Responsibilities 2023/24:

Term 2: MA143 Calculus 2

Term 2: MA482 Stochastic Analysis

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(med res version but still a large file): This is an illustration of dynamics near a double resonance in a 4d symplectic map

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Research Interests:

Dynamical Systems, conservative dynamics, bifurcation theory

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Publications:

2025

V. Gelfreich, A. Vieiro, Nekhoroshev theory and discrete averaging, DCDS, .

2018

V. Gelfreich, A. Vieiro, Interpolating vector fields for near identity maps and averaging, (preprint arXiv:1711.01983, 28 p.)

2017

K. Shah, D. Turaev, V. Gelfreich, V. Rom-Kedar, Equilibration of energy in slow-fast systems, PNAS 2017 December, 114 (49) E10514-E10523

V. Gelfreich, D. Turaev, "Arnold Diffusion in a priory chaotic symplectic maps", . (doi:10.1007/s00220-017-2867-0)

2015

K. Shah, V. Gelfreich, V. Rom-Kedar, D. Turaev, Leaky Fermi accelerators, . (doi: 10.1103/PhysRevE.91.062920) (preprint )

2014

Gelfreich V., Lerman L., Separatrix splitting at a Hamiltonian 0²i蠅 bifurcation, Regular and Chaotic Dynamics (2014) (preprint )

Gelfreich V., Rom-Kedar V., Turaev D., Oscillating mushrooms: adiabatic theory for a non-ergodic system.

Gelfreich V., Gelfreikh N., Unique normal forms near a degenerate elliptic fixed point in two-parametric families of area-preserving maps.

Gelfreich V., Turaev D., Arnold Diffusion in a priory chaotic Hamiltonian systems, [math.DS]

2013

V. Gelfreich , C. Sim贸 and A. Vieiro, Dynamics of 4D symplectic maps near a double resonance,

2012

Gelfreich V., Rom-Kedar V., Turaev D., Fermi acceleration and adiabatic invariants for non-autonomous billiards, .

2011

Volker Betz, Vassili Gelfreich and Florian Theil, Oscillatory Sums,

Gelfreich V., Rom-Kedar V., Shah K., Turaev D. Robust Exponential Acceleration in Time-Dependent Billiards,

Gaivao J.P., Gelfreich V. (2011) Splitting of separatrices for the Hamiltonian-Hopf bifurcation with the Swift-Hohenberg equation as an example, (preprint )

2010

Br盲nnstr枚m N., De Simone E., Gelfreich V., Geometric Shadowing in Slow-Fast Hamiltonian Systems (2010) (Preprint: )

Gelfreich V., Turaev D. Universal dynamics in a neighborhood of a generic elliptic periodic point.  

Gelfreich V., Gelfreikh N. Unique normal forms for area preserving maps near a fixed point with neutral multipliers.  ()

2009

Gelfreich V., Naudot V., Width of Homolinic Zone in the Parameter Space for Quadratic Maps,

Gelfreich V., Gelfreikh N., Unique resonant normal forms for area-preserving maps at an elliptic fixed point. ()

2008

Gelfreich V., Turaev D. Fermi acceleration in non-autonomous billiards, , ()

Br盲nnstr枚m N., Gelfreich V. Drift of slow variables in slow-fast Hamiltonian systems,

Gelfreich V., Turaev D. Unbounded Energy Growth in Hamiltonian Systems with a Slowly Varying Parameter,

Gelfreich V., Sim贸 C., High-precision computations of divergent asymptotic series and homoclinic phenomena, DCDS-B, , 511-536

Gelfreich V., Naudot V., Analytic invariants associated with a parabolic fixed point in ².  vol. 28, issue 06 (2008) pp 1815-1848

Butler L., Gelfreich V., Positive-entropy geodesic flows on Nilmanifolds,

Other publications

Gelfreich V, Lazutkin V. Splitting of Separatrices: perturbation theory and exponential smallness.

Gelfreich V, Sauzin D. Borel summation and splitting of separatrices for the Henon map.

Gelfreich V. Near strongly resonant periodic orbits in a Hamiltonian system.

 

For more information and further publications see or his