Preprints


[A]
Non-adiabatic transitions through tilted avoided crossings
with B. Goddard. submitted (2010).

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[B]
A chain of interacting particles under strain, with M. Allman and M. Hairer,
sub
mitted (2010).
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[C]
Spatial random permutations and Poisson-Dirichlet law of cycle lengths,
with Daniel Ueltschi. submitted (2010).

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Journal publications


 [17]
Oscillatory Sums,
with V. Gelfreich and F. Theil.
To appear in The mathematical Intelligencer
(2010).
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 [16] Effective density of states for a quantum oscillator coupled to a photon field, with D. Castrigiano.
To appear in Commun. Math. Phys. (2010).

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cmp
[15]
Random permutations with cycle weights,
with I. Velenik and D. Ueltschi.
To appear in Annals of Applied Probability
(2010)
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[14]
Critical temperature of dilute Bose gases, with D. Ueltschi.
Phys. Rev. A 81, 023611 (2010)

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spatialpermutation
[13]
Spatial random permutations with small cycle weights, with D. Ueltschi.
To appear in Probability Theory and Related Fields (2010).

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ptrf
[12]
Accurate prediciton of non-adiabatic transitions through avoided crossings,
with B. Goddard.
Phys. Rev. Lett.
103, 213001 (2009).

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prl
[11]
Superadiabatic transition histories in quantum dynamics,
with B. Goddard and S. Teufel.
Proc. R. Soc. A 465, 3553-3580 (2009).

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prsa
[10]
Breaking the chain,
with M. Allman.
Stochastic Processes and Applications 119, 2645-2569 (2009).

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spa
[9]
Emergence of exponentially small reflected waves,
with A. Joye and S. Teufel.
Asymptotic Analysis 64, 53-100 (2009).

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asan
[8]
Spatial random permutations and infinite cycles,
with D. Ueltschi.
Commun. Math. Phys. 285, 469-501 (2009)

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cmp
[7]
Gibbs measures with double stochastic integrals on a path space,
with F. Hiroshima.
Inf. Dim. Analysis and Quantum Probability 12, 135-152 (2009).

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idaqp
[6]
Precise coupling terms in adiabatic quantum evolution: the generic case,
with S. Teufel.
Commun. Math. Phys. 260, 481-509 (2005).

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cmp
[5]
Precise coupling terms in adiabatic quantum evolution,
with S. Teufel.
Annales Henri Poincare 6, 217-246 (2005).

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ahp
[4]
A central limit theorem for Gibbs measures relative to Brownian motion,
with H. Spohn.
Probability Theory and Related Fields 131, 459 - 478 (2005)

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ptrf
[3]
Uniqueness of Gibbs measures relative to Brownian motion,
with J. Lörinczi.
Ann Inst H Poincaré PR 39, 877-889 (2003).

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aihp
[2]
Existence of Gibbs measures relative to Brownian motion,
Markov Processes and Related Fields 9, 85-102 (2003).

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mprf
[1]
Ground state properties of the Nelson Hamiltonian – a Gibbs measure based approach,
with F. Hiroshima, J. Lörinczi, R. A. Minlos and H. Spohn.
Rev. Math. Phys. 14 173- 198 (2002).

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rev math phys


Proceedings and others

[P7] The critical temperature of dilute Bose gases: A tentative
exact approach using spatial permutations,
with D. Ueltschi
to appear in Oberwolfach Reports (2010)
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[P6] Radiationless transitions through avoided crossings
to appear in the Proceedings of the ICMP, Prague 2009. .
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[P5] Spatial random permutations with cycle weights
Oberwolfach reports Vol 5, Issue 4 (2008).
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owr08
[P4] Rigorous exponential asymptotics for singluarly perturbed differential equations.
to appear in Proceedings of the 2007 EQUADIFF conference.
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[P3] Landau-Zener formulae from adiabatic transition histories, with S. Teufel. In Mathematical Physics of Quantum Mechanics, Lecture Notes in Physics 690, p. 19-32, Springer (2006).
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qm9
[P2] Gibbs measures on Brownian paths: Theory and Applications,
with J. Lörinczi and H. Spohn. in Interacting Stochastic Systems,
Eds. J-D. Deuschel, A. Greven, p. 75-102, Springer (2005).
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iss
[P1] Gibbs measures relative to Brownian motion and Nelson’s model,
PhD thesis at the TU Munich, April 2002.
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