Engineering and Physical Sciences Research Council (EPSRC)

Allman, Michael J., Betz, Volker and Hairer, Martin (2011) A chain of interacting particles under strain. Stochastic Processes and their Applications, Vol.121 (No.9). pp. 2014-2042. doi:10.1016/j.spa.2011.05.007

Betz, Volker and Ueltschi, Daniel (2011) Spatial random permutations and Poisson-Dirichlet law of cycle lengths. Electronic Journal of Probability, Vol.16 (No.41).

Betz, Volker, Ueltschi, Daniel and Velenik, Yvan (2011) Random permutations with cycle weights. Annals of Applied Probability, Volume 21 (Number 1). pp. 312-331. doi:10.1214/10-AAP697

Betz, Volker and Ueltschi, Daniel (2011) Spatial random permutations with small cycle weights. Probability Theory and Related Fields, Volume 149 (Numbers 1-2). pp. 191-222. doi:10.1007/s00440-009-0248-0

Betz, Volker and Castrigiano, Domenico P. L. (2011) Effective density of states for a quantum oscillator coupled to a photon field. Communications in Mathematical Physics, Volume 301 (Number 3). pp. 811-839. doi:10.1007/s00220-010-1167-8

Betz, Volker and Ueltschi, Daniel (2010) Critical temperature of dilute Bose gases. Physical Review A, Vol.81 (No.2). Article no. 023611. doi:10.1103/PhysRevA.81.023611

Betz, Volker and Goddard, B. (Benjamin) (2009) Accurate prediction of nonadiabatic transitions through avoided crossings. Physical Review Letters, Vol.103 (No.21). Article no. 213001. doi:10.1103/PhysRevLett.103.213001

Betz, Volker, Goddard, B. and Teufel, Stefan (2009) Superadiabatic transitions in quantum molecular dynamics. Proceedings of the Royal Society of London. A, Mathematical, Physical and Engineering Sciences, Vol.465 (No.2111). pp. 3553-3580. doi:10.1098/rspa.2009.0337

Allman, Michael J. and Betz, Volker (2009) Breaking the chain. Stochastic Processes and their Applications, Vol.119 (No.8). pp. 2645-2659. doi:10.1016/j.spa.2009.01.007

Betz, Volker and Hiroshima, Fumio (2009) Gibbs measures with double stochastic integrals on a path space. Infinite Dimensional Analysis Quantum Probability and Related Topics, Vol.12 (Vol.1). pp. 135-152. doi:10.1142/S0219025709003574

Betz, Volker and Ueltschi, Daniel (2009) Spatial random permutations and infinite cycles. Communications in Mathematical Physics, Vol.285 (No.2). pp. 469-501. doi:10.1007/s00220-008-0584-4

Betz, Volker, Joye, Alain and Teufel, Stefan (2009) Emergence of exponentially small reflected waves. Asymptomatic Analysis, Vol.64 (No.1-2). pp. 53-100. doi:10.3233/ASY-2009-0935

JSPS

Betz, Volker and Hiroshima, Fumio (2009) Gibbs measures with double stochastic integrals on a path space. Infinite Dimensional Analysis Quantum Probability and Related Topics, Vol.12 (Vol.1). pp. 135-152. doi:10.1142/S0219025709003574

Leverhulme Trust (LT)

Allman, Michael J., Betz, Volker and Hairer, Martin (2011) A chain of interacting particles under strain. Stochastic Processes and their Applications, Vol.121 (No.9). pp. 2014-2042. doi:10.1016/j.spa.2011.05.007

National Science Foundation (U.S.) (NSF)

Betz, Volker, Ueltschi, Daniel and Velenik, Yvan (2011) Random permutations with cycle weights. Annals of Applied Probability, Volume 21 (Number 1). pp. 312-331. doi:10.1214/10-AAP697

Betz, Volker and Ueltschi, Daniel (2011) Spatial random permutations with small cycle weights. Probability Theory and Related Fields, Volume 149 (Numbers 1-2). pp. 191-222. doi:10.1007/s00440-009-0248-0

Betz, Volker and Ueltschi, Daniel (2010) Critical temperature of dilute Bose gases. Physical Review A, Vol.81 (No.2). Article no. 023611. doi:10.1103/PhysRevA.81.023611

Betz, Volker and Ueltschi, Daniel (2009) Spatial random permutations and infinite cycles. Communications in Mathematical Physics, Vol.285 (No.2). pp. 469-501. doi:10.1007/s00220-008-0584-4

Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung [Swiss National Science Foundation] (SNSF)

Betz, Volker, Ueltschi, Daniel and Velenik, Yvan (2011) Random permutations with cycle weights. Annals of Applied Probability, Volume 21 (Number 1). pp. 312-331. doi:10.1214/10-AAP697

University of Warwick

Allman, Michael J., Betz, Volker and Hairer, Martin (2011) A chain of interacting particles under strain. Stochastic Processes and their Applications, Vol.121 (No.9). pp. 2014-2042. doi:10.1016/j.spa.2011.05.007