Volker Betz E-Mail: betz@maths.warwick.ac.uk Volker Betz Mathematics Institute University of Warwick Coventry CV4 7AL Phone: +44-24- 765 74839

Research interests

Functional integrals, quantum electrodynamics and Gibbs measures
Stochastic particle systems
Adiabatic evolution of quantum systems
Asymptotics beyond all orders

Recent publications and preprints

Sptial random permutations with small cycle weights, with D. Ueltschi, submitted for publication (2008)
Breaking the Chain, with M. Allmann, to appear in Stochastic Processes and Applications (2009)
Emergence of exponentially small reflected waves, with A. Joye and S. Teufel, to appear in Asymnptotic Analysis (2008)
Spatial random permutations and infinite cycles, with D. Ueltschi, Commun. Math. Phys. 285, 469-501 (2009).
Rigorous exponential asymptotics for singularly perturbed differential equatiosn, to appear in the proceedings of the Equadiff convference, Vienna 2007.
Gibbs measures with double stochastic integrals on a path space, with F. Hiroshima, to appear in IDA-QP (2007)
Landau-Zener formulae from adiabatic transition histories , with S. Teufel, Mathematical Physics of Quantum Mechanics, Selected and Refereed Lectures from QMath9, Lecture Notes in Physics 690, p. 19-32, Springer (2006).
Precise coupling terms in adiabatic quantum evolution: The generic case (Preprint version here), with S. Teufel, Communications in Mathematical Physics 260 , 481-509 (2005).
Gibbs measures on Brownian paths: Theory and Applications (Preprint version here), with J. Lörinczi and H. Spohn, Interacting Stochastic Systems, Eds. J-D. Deuschel and A. Greven, Springer (2005) .
Precise coupling terms in adiabatic quantum evolution (Preprint version here) , with S. Teufel, Annales Henri Poincare 6, 217-246 (2005).
A central limit theorem for Gibbs measures relative to Brownian motion (Preprint version here), with H. Spohn, Probability Theory and Related Fields 131 459-478 (2005).
Uniqueness of Gibbs measures relative to Brownian motion (Preprint version here) , with J. Lörinczi, Ann. I. H. Poincare - PR 39, 5 (2003) 877-889.
Existence of Gibbs measures relative to Brownian motion (Preprint version here). Markov Processes and Related Fields 9, 85-102 (2003).
Gibbs measures relative to Brownian motion and Nelson's model. PhD thesis, TU München (2002).
Ground state properties of the Nelson Hamiltonian - a Gibbs measure based aproach (Preprint version here), with F. Hiroshima, J. Lörinczi,R. Minlos, H. Spohn, Rev. Math. Phys. 14 No 2, 173-198 (2002)

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