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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). |
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[5]
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Phase transition for loop representations of Quantum spin systems on trees
with J. Ehlert and B. Lees |
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[4]
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Non-adiabatic transitions in multiple dimensions
with B. Goddard and T. Hurst |
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[3]
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Interacting self-avoiding polygons
with H. Schäfer and L. Taggi |
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[2]
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Random permutations without macroscopic cycles
with H. Schäfer and D. Zeindler |
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[1]
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Scaling limit of a self-avoiding walk interacting with spatial random permutations
with L. Taggi |
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[26]
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The shape of the emerging condensate in effective models of condensation
with P. Mörters and S. Dereich
Annales Henri Poincare
June 2018, Volume 19, Issue 6, pp 1869–1889
19,
1869--1889 (2018).
 pdf
file |
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[25]
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The number of cycles in random permutations without long cycles is asymptotically Gaussian
with H. Schäfer
ALEA
14,
427--444 (2017).
pdf
file |
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[24]
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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).
pdf
file |
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Multi-scale metastable dynamics and the asymptotic
stationary distribution of perturbed Markov chains
with S. Le Roux
Stoch. Proc. Appl.
126,
3499-3526 (2016).
pdf
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Wave packet dynamics in
the optimal superadiabatic approximation with B. Goddardand U. Manthe Journal of Chemical Physics
144(22) , 224109 (2016).
pdf
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Random permutations of a regular lattice Journal of statistical physics
155, 1222-1248 (2014).
pdf
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Non-adiabatic transitions through tilted
avoided crossings with B. Goddard. SIAM Journal of Scientific computing
33, 2247-2267 (2011).
pdf
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A
chain of interacting particles under strain, with M. Allman and M. Hairer, Stoch. Proc. Appl. 121, 2014-2042
(2011).
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Spatial random permutations and
Poisson-Dirichlet law of cycle lengths, with
Daniel Ueltschi.
Electronic Journal of Probability
16, 41 (2011).
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Oscillatory
Sums, with V. Gelfreich
and F. Theil. The
mathematical Intelligencer,
DOI 10.1007/ s00283-011-9224-5 (2011) pdf file |
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states for a quantum oscillator coupled to a
photon field, with D. Castrigiano. Commun.
Math. Phys. 301, 811839
(2011).
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Random permutations
with cycle weights, with I. Velenik and D. Ueltschi. Ann.
Appl. Probab. 21, 312-331 (2011)
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Critical temperature
of dilute Bose gases, with D. Ueltschi. Phys. Rev. A 81, 023611 (2010) pdf file |
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Spatial random
permutations with small cycle weights, with D. Ueltschi. Probab.
Th. Rel. Fields 149, 191-222
(2011).
pdf file |
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Accurate prediciton
of non-adiabatic transitions through avoided
crossings, with B. Goddard. Phys. Rev. Lett. 103, 213001 (2009). pdf file |
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Superadiabatic
transition histories in quantum dynamics, with B. Goddard and S. Teufel. Proc. R. Soc. A 465, 3553-3580 (2009). pdf file |
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Breaking the chain, with M. Allman. Stochastic Processes and Applications 119, 2645-2569 (2009). pdf file |
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Emergence of
exponentially small reflected waves, with A. Joye and S. Teufel. Asymptotic Analysis 64, 53-100 (2009). pdf file |
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Spatial random
permutations and infinite cycles, with D. Ueltschi. Commun. Math. Phys. 285, 469-501 (2009) pdf file |
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Gibbs measures with
double stochastic integrals on a path space, with F. Hiroshima. Inf. Dim. Analysis and Quantum Probability 12, 135-152 (2009). pdf file |
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Precise coupling
terms in adiabatic quantum evolution: the
generic case, with S. Teufel. Commun. Math. Phys. 260, 481-509 (2005). pdf file |
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Precise coupling
terms in adiabatic quantum evolution, with S. Teufel. Annales Henri Poincare 6, 217-246 (2005). pdf file |
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A central limit
theorem for Gibbs measures relative to Brownian
motion, with H. Spohn. Probability Theory and Related Fields 131, 459 - 478 (2005) pdf file |
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Uniqueness of Gibbs
measures relative to Brownian motion, with J. Lörinczi. Ann Inst H Poincaré PR 39, 877-889 (2003). pdf file |
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| [2] |
Existence of Gibbs
measures relative to Brownian motion, Markov Processes and Related Fields 9, 85-102 (2003). pdf file |
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| [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). pdf file |
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| [P7] | The critical
temperature of dilute Bose gases: A tentative exact approach using spatial permutations, with D. Ueltschi to appear in Oberwolfach Reports (2010) pdf file |
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| [P6] | Radiationless
transitions through avoided crossings Proceedings of the ICMP, Prague 2009. . pdf file |
|
| [P5] | Spatial random
permutations with cycle weights Oberwolfach reports Vol 5, Issue 4 (2008). pdf file |
|
| [P4] | Rigorous exponential
asymptotics for singluarly perturbed
differential equations. Proceedings of the 2007 EQUADIFF conference. pdf 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).pdf file |
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| [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). pdf file |
 |
| [P1] | Gibbs measures
relative to Brownian motion and Nelson’s model,
PhD thesis at the TU Munich, April 2002. pdf file |
