Vassili Gelfreich Professor of Mathematics EPSRC Leadership Fellowship 2011-16 Office: B2.07 Phone: +44 (0)24 7652 8331 Email: V dot Gelfreich at warwick dot ac dot uk

Research Interests: Dynamical Systems

Recent publications:

Volker Betz, Vassili Gelfreich and Florian Theil, Oscillatory Sums, The Mathematical Intelligencer (2011)

Gelfreich V., Rom-Kedar V., Shah K., Turaev D. (2011) Robust Exponential Acceleration in Time-Dependent Billiards, Phys. Rev. Lett. 106, 074101

Gaivao J.P. and Gelfreich V. (2011) Splitting of separatrices for the Hamiltonian-Hopf bifurcation with the Swift-Hohenberg equation as an example, Nonlinearity 24, no.3 (2011) pp. 677-698 (preprint arXiv:1004.2054v1)

Brännström N., De Simone E., Gelfreich V., Geometric Shadowing in Slow-Fast Hamiltonian Systems (2010) Nonlinearity 23 1169 (Preprint: arxiv: 0905.3087)

Gelfreich V., Turaev D. Universal dynamics in a neighborhood of a generic elliptic periodic point. Regular and Chaotic Dynamics vol. 15 no. 2-3 (2010) 159-164 

Gelfreich V., Gelfreikh N. Unique normal forms for area preserving maps near a fixed point with neutral multipliers. Regular and Chaotic Dynamics vol. 15 no. 2-3 (2010) 300-318 (Preprint 2009) arxiv.org:0912:2922 

Gelfreich V., Gelfreikh N., Unique resonant normal forms for area-preserving maps at an elliptic fixed point. Nonlinearity 22 (2009), 783-810 (Preprint)

Gelfreich V., Turaev D. Fermi acceleration in non-autonomous billiards, J.Phys.A: Math.Theor. 41 (2008) 21200, (preprint)

Other publications:

Brännström N., Gelfreich V. Drift of slow variables in slow-fast Hamiltonian systems, Physica D 237 (2008) 2913–2921

Gelfreich V., Turaev D. Unbounded Energy Growth in Hamiltonian Systems with a Slowly Varying Parameter, Comm. Math. Phys. vol. 283, no. 3 (2008) 769-794

Gelfreich V., Simo C., High-precision computations of divergent asymptotic series and homoclinic phenomena, DCDS-B, vol. 10 (2008), no. 2/3, 511-536

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

Butler L., Gelfreich V., Positive-entropy geodesic flows on Nilmanifolds, Nonlinearity 21 (2008) 1423-1434

Gelfreich V, Lazutkin V. Splitting of Separatrices: perturbation theory and exponential smallness. RUSSIAN MATHEMATICAL SURVEYS, 56, (2001), 499-558

Gelfreich V, Sauzin D. Borel summation and splitting of separatrices for the Henon map. ANNALES DE L INSTITUT FOURIER, 51, (2001), 513-567

Gelfreich V. Near strongly resonant periodic orbits in a Hamiltonian system. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES (USA),99,(2002),13975-13979

Further publications 

Research grants:

Royal Society, Resonant Phenomena in Hamiltonian Systems - International Joint Project (5/10/2008-4/10/2010)

EPSRC, Asymptotics beyond all orders and Stokes phenomenon in bifurcation problems (01/10/2004 - 30/09/2007)

Royal Society, Instability near resonances in Hamiltonian systems (29/09/2006-31/01/2007)

For more information and further publications see Vassili Gelfreich's homepage or his Expertise Profile