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).



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

Journal publications

The number of cycles in random permutations without long cycles is asymptotically Gaussian
with H. Schäfer
ALEA 14, 427--444 (2017).
pdfpdf file
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
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
Wave packet dynamics in the optimal superadiabatic approximation
with B. Goddardand U. Manthe

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

SIAM Journal of Scientific computing 33, 2247-2267 (2011).
pdfpdf file
A chain of interacting particles under strain,
with M. Allman and M. Hairer,
Stoch. Proc. Appl. 121, 2014-2042 (2011).
pdfpdf file
Spatial random permutations and Poisson-Dirichlet law of cycle lengths, with Daniel Ueltschi.
Electronic Journal of Probability 16, 41 (2011).
pdfpdf file
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
Random permutations with cycle weights,
with I. Velenik and D. Ueltschi.
Ann. Appl. Probab. 21, 312-331 (2011)
pdfpdf file
Critical temperature of dilute Bose gases, with D. Ueltschi.
Phys. Rev. A 81, 023611 (2010)

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

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

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

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

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

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

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

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

pdfpdf file
Existence of Gibbs measures relative to Brownian motion,
Markov Processes and Related Fields 9, 85-102 (2003).

pdfpdf file
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).

pdfpdf file

rev math

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. .
pdfpdf file

[P5] Spatial random permutations with cycle weights
Oberwolfach reports Vol 5, Issue 4 (2008).
pdfpdf file
[P4] Rigorous exponential asymptotics for singluarly perturbed differential equations.
Proceedings of the 2007 EQUADIFF conference.
pdfpdf file

[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
[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
[P1] Gibbs measures relative to Brownian motion and Nelson’s model,
PhD thesis at the TU Munich, April 2002.
pdfpdf file