Research papers
- PC, Harmonic Crystals: Statistical Mechanics
and Large Deviations,
PhD Thesis, Berlin Jan. 2000
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- PC and J-D. Deuschel, Large deviations and variational principle for harmonic crystals ,
Commun. Math. Phys. 209 , 595-632, 2000.
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- PC and Y. Velenik,
A note on wetting transition for gradient fields,
Stoch. Proc. Appl. 87 , 107-113, 2000.
ps-file
- PC and
J-D.
Deuschel,
Critical large deviations in
harmonic crystals with long range interactions,
Ann. Probab. 29 ,
2001.
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- PC,
A remark on spectral gap and logarithmic Sobolev inequalities
for conservative spin systems,
2001, Unpublished.
ps-file
- PC and
F. Martinelli,
Asymmetric diffusion and the enrgy gap above the 111 ground state of
the quantum XXZ model ,
Commun. Math. Phys. 226 , 323 - 375, 2002.
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- PC and
D. Ioffe,
Finite volume approximation of the effective diffusion matrix: The case of
independent bond disorder,
Ann. Inst. H. Poincare (Probab. et Stat.)
39 , No.\ 3, 505--525, 2003.
ps-file
- PC and
F. Martinelli,
Relaxation time of
anisotropic simple exclusion processes and quantum Heisenberg models,
Ann. Appl. Probab. 13 , No. 2, 691--721, 2003.
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- PC,
Uniform
Poincare inequalities for unbounded conservative spin
systems: The non-interacting case,
Stoch. Proc. Appl. 106, No. 2, 223--244, 2003.
ps-file
- PC,
Spectral gap inequalities in product spaces with
conservation laws, in:
T. Funaki and H. Osada (eds.) Adv. Studies in Pure Math. Japan 2004
ps-file
- PC,
Energy gap estimates in XXZ ferromagnets and stochastic particle
systems
Markov Process. Related Fields 11, 189--210, 2005
ps-file
- PC and
F. Martinelli,
Phase ordering after a deep quench: The stochastic Ising and
hard--core gas models on a tree
, Probab. Theory and Rel. Fields, 136, 37-80, 2006
pdf-file
- N. Cancrini, PC and
F. Martinelli,
Relaxation time for L-reversal processes and other chormosome
shuffles
, Annals of Appl. Probab. 16, 1506-1527, 2006
pdf-file
- A.S. Boudou, PC, P. Dai Pra, G. Posta,
Spectral gap inequalities for interacting particle systems via a
Bochner type inequality
, J. Funct. Anal. 232 , 222-258, 2006.
pdf-file
- PC and
G. Posta,
Entropy dissipation estimates in a zero-range dynamics,
to appear in: Probab. Theory and Rel. Fields
pdf-file
- Nayantara Bhatnagar, PC, Prasad Tetali, Eric Vigoda,
Analysis of Top-Swap Shuffling for Genome Rearrangements, to
appear in: Annals of Applied Probability,
math.PR/0609171
- PC and Alessandra Faggionato, Isoperimetric inequalities and mixing time for a random walk on a random point process
, to
appear in: Annals of Applied Probability,
math.PR/0607805
- PC and Alessandra Faggionato, Diffusivity in one-dimensional generalized Mott variable-range hopping models
, submitted,
math.PR/0701253