RESEARCH PROFILE

Applied probability theory and mathematical physics. More specifically, I am interested in Gibbs measures, stochastic particle systems, path integrals, microlocal analysis and exponential asymptotics. Applications are reconstruction of noisy data, quantum electrodynamics via path integrals and molecular dynamics. I have some projects on applications of Mathematics in Medicine and Biology.

RESEARCH PROJECTS

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SELECTED PUBLICATIONS

• Betz, V. and Ueltschi, D.(2009) 'Spatial random permutations and infinite cycles' Communications In Mathematical Physics 285 (2), 469 - 501 (0010-3616)
• Allman, M., Betz, V. and Hairer, M.(2011) 'A chain of interacting particles under strain' Stochastic Processes and Their Applications 121 (9), 2014 - 2042 (0304-4149) [article]
• Betz, V., Gelfreich, V. and Theil, F.(2011) 'Oscillatory sums' Mathematical Intelligencer 33 (3), 110 - 114 (0343-6993) [article]
• Betz, V., Goddard, B. D. and Teufel, S.(2009) 'Superadiabatic transitions in quantum molecular dynamics' Proceedings of the Royal Society A: Mathematical, Physical & Engineering Science 465 (2111), 3553 - 3580 (1364-5021) [article]
• Betz, V., Joye, A. and Teufel, S.(2009) 'Emergence of exponentially small reflected waves' Asymptotic Analysis 64 (1-2), 53 - 100 (0921-7134)

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RESEARCH DEGREES SUPERVISED

• Breaking a chain of interacting brownian particles