PC, Thomas M. Liggett and Thomas Richthammer,
Proof of Aldous' spectral gap conjecture,
Journal of the American Mathematical Society (to appear)
arXiv: 0906.1238
PC, Fabio Martinelli and Fabio Lucio Toninelli,
Convergence to equilibrium of biased plane partitions,
submitted, arXiv: 0903.5079
Charles Bordenave, PC and Djalil Chafai,
Spectrum of large random reversible Markov chains: Heavy-tailed weights on the complete graph,
submitted,
arXiv:0903.3528
PC, Alessandra Faggionato and Alexandre Gaudilliere,
Recurrence and transience for long-range reversible random walks on a random point process, Electron. J. Probab. 14, 2580-2616, 2009
arxiv:0811.4623
Charles Bordenave, PC and Djalil Chafai, Spectrum of large random reversible Markov chains,
arXiv:0811.1097
PC and Alessandra Faggionato, Diffusivity in one-dimensional generalized Mott variable-range hopping models,
Annals of Applied Probability
10, 1459-1494, 2009
arxiv math.PR/0701253
PC, On the spectral gap of the Kac walk and other binary collision processes,
ALEA, Latin American Journal Of
Probability And Mathematical Statistics 4 , 205-222, 2008
arXiv:0807.3415
PC, Paolo Dai Pra, Gustavo Posta, Convex entropy decay
via the Bochner--Bakry--Emery approach,
Annales de l'Institut Henri Poincare Probab. et Stat. 45,
734-753, 2009
arXiv:0712.2578
PC, Fabio Martinelli and Fabio Lucio Toninelli, On the
approach to equilibrium for a polymer with adsorption and repulsion
,
Electron. J. Probab. 13, 213-258, 2008
arXiv:0709.2612
PC and Alessandra Faggionato, Isoperimetric inequalities and mixing time for a random walk on a random point process
,
Annals of Applied Probability 17, 1707-1744, 2007
arxiv math.PR/0607805
Nayantara Bhatnagar, PC, Prasad Tetali, Eric Vigoda,
Analysis of Top-Swap Shuffling for Genome Rearrangements,
Annals of Applied Probability 17, 1424-1445, 2007
arxiv math.PR/0609171
PC and
G. Posta,
Entropy dissipation estimates in a zero-range dynamics,
Probab. Theory and Rel. Fields 139, 65-87, 2007
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
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
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
PC,
Energy gap estimates in XXZ ferromagnets and stochastic particle
systems Markov Process. Related Fields 11, 189--210, 2005
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,
Uniform
Poincare inequalities for unbounded conservative spin
systems: The non-interacting case,
Stoch. Proc. Appl. 106, No. 2, 223--244, 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.
gzipped ps-file
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,
Asymmetric diffusion and the enrgy gap above the 111 ground state of
the quantum XXZ model ,
Commun. Math. Phys. 226 , 323 - 375, 2002.
gzipped ps-file
PC,
A remark on spectral gap and logarithmic Sobolev inequalities
for conservative spin systems,
2001, Unpublished.
ps-file
PC and
J.-D. Deuschel,
Critical large deviations in
harmonic crystals with long range interactions,
Ann. Probab. 29 ,
2001.
gzipped ps-file
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, Large deviations and variational principle for harmonic crystals ,
Commun. Math. Phys. 209 , 595-632, 2000.
gzipped ps-file
PC, Harmonic Crystals: Statistical Mechanics
and Large Deviations,
PhD Thesis, Berlin Jan. 2000
gzipped ps-file