Book


[A]
Feynman-Kac-Type Theorems and Gibbs Measures on Path Space.
With Applications to Rigorous Quantum Field Theory
.
with J. Lörinczi and F. Hiroshima.
505 p., de Gruyter Studies in Mathematics 34, (2011).

WDG


Preprints


[2]
The shape of the emerging condensate in effective models of condensation
with P. Mörters and S. Dereich
[1]
Ensembles of Self-Avoiding polygons
with L. Taggi

Journal publications


[25]
The number of cycles in random permutations without long cycles is asymptotically Gaussian
with H. Schäfer
ALEA 14, 427--444 (2017).
pdfpdf file
jcp
[24]
Stable states of perturbed Markov chains
with S. Le Roux
41st International Symposium on Mathematical Foundations of Computer Science (MFCS 2016) 58, 18:1--18:14 (2016).
pdfpdf file
jcp
[23]
Multi-scale metastable dynamics and the asymptotic stationary distribution of perturbed Markov chains
with S. Le Roux
Stoch. Proc. Appl. 126, 3499-3526 (2016).
pdfpdf file
jcp
[22]
Wave packet dynamics in the optimal superadiabatic approximation
with B. Goddardand U. Manthe

Journal of Chemical Physics 144(22) , 224109 (2016).
pdfpdf file
jcp
[21]
Random permutations of a regular lattice
Journal of statistical physics 155, 1222-1248 (2014).
pdfpdf file
siam
[20]
Non-adiabatic transitions through tilted avoided crossings
with B. Goddard.

SIAM Journal of Scientific computing 33, 2247-2267 (2011).
pdfpdf file
siam
[19]
A chain of interacting particles under strain,
with M. Allman and M. Hairer,
Stoch. Proc. Appl. 121, 2014-2042 (2011).
pdfpdf file
[18]
Spatial random permutations and Poisson-Dirichlet law of cycle lengths, with Daniel Ueltschi.
Electronic Journal of Probability 16, 41 (2011).
pdfpdf file
 [17]
Oscillatory Sums,  with V. Gelfreich and F. Theil.
The mathematical Intelligencer,
DOI 10.1007/ s00283-011-9224-5 (2011)
pdfpdf file
 [16] Effective density of states for a quantum oscillator coupled to a photon field, with D. Castrigiano.
Commun. Math. Phys. 301, 811839 (2011).
pdfpdf file
cmp
[15]
Random permutations with cycle weights,
with I. Velenik and D. Ueltschi.
Ann. Appl. Probab. 21, 312-331 (2011)
pdfpdf file
[14]
Critical temperature of dilute Bose gases, with D. Ueltschi.
Phys. Rev. A 81, 023611 (2010)

pdfpdf file
spatialpermutation
[13]
Spatial random permutations with small cycle weights, with D. Ueltschi.
Probab. Th. Rel. Fields 149, 191-222 (2011).
pdfpdf file
ptrf
[12]
Accurate prediciton of non-adiabatic transitions through avoided crossings,
with B. Goddard.
Phys. Rev. Lett.
103, 213001 (2009).

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

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

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

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

pdfpdf file
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).

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

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

pdfpdf file
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)

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

pdfpdf file
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)
pdfpdf file
[P6] Radiationless transitions through avoided crossings
Proceedings of the ICMP, Prague 2009. .
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[P5] Spatial random permutations with cycle weights
Oberwolfach reports Vol 5, Issue 4 (2008).
pdfpdf file
owr08
[P4] Rigorous exponential asymptotics for singluarly perturbed differential equations.
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).
pdfpdf file
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).
pdfpdf file
iss
[P1] Gibbs measures relative to Brownian motion and Nelson’s model,
PhD thesis at the TU Munich, April 2002.
pdfpdf file