Spectral gap for an unrestricted Kawasaki type dynamics

Gustavo Posta

ESAIM: Probability and Statistics (1997)

  • Volume: 1, page 145-181
  • ISSN: 1292-8100

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Posta, Gustavo. "Spectral gap for an unrestricted Kawasaki type dynamics." ESAIM: Probability and Statistics 1 (1997): 145-181. <http://eudml.org/doc/104229>.

@article{Posta1997,
author = {Posta, Gustavo},
journal = {ESAIM: Probability and Statistics},
keywords = {Kawasaki dynamics; SOS model; spectral gap; Ising model; interacting particle system},
language = {eng},
pages = {145-181},
publisher = {EDP Sciences},
title = {Spectral gap for an unrestricted Kawasaki type dynamics},
url = {http://eudml.org/doc/104229},
volume = {1},
year = {1997},
}

TY - JOUR
AU - Posta, Gustavo
TI - Spectral gap for an unrestricted Kawasaki type dynamics
JO - ESAIM: Probability and Statistics
PY - 1997
PB - EDP Sciences
VL - 1
SP - 145
EP - 181
LA - eng
KW - Kawasaki dynamics; SOS model; spectral gap; Ising model; interacting particle system
UR - http://eudml.org/doc/104229
ER -

References

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  1. DOBRUSHIN, R., KONTECKÝ, R. and SHLOSMAN, S. ( 1992), Wulff Construction. A Global Shape from Local Interaction, Translation of Mathematical Monographs, Vol. 104, AMS. Zbl0917.60103MR1181197
  2. LANDIM, C., SETHURAMAN, S. and VARADHAN, S. R. S. ( 1995), Spectral Gap for Zero-Range Dynamics, Preprint to appear Ann. Probab. Zbl0870.60095MR1415232
  3. LAWLER, G. F. and SOKAL, A. D. ( 1988), Bounds on the L2 Spectrum for Markov Chains and Markov Processes: a Generalization of Cheeger's Inequality, Trans. Amer. Math. Soc. 309 No 2 557-580. Zbl0716.60073MR930082
  4. LU, S. and YAU, H.T. ( 1993), Spectral Gap and Logarithmic Sobolev Inequality for Kawasaki and Glauber Dynamics, Commun. Math. Phys. 156 399-433. Zbl0779.60078MR1233852
  5. PETROV, V. V. ( 1975), Sums of Independent Random Variables. Springer-Verlag. Zbl0322.60042MR388499
  6. VARADHAN, S. R. S. ( 1984), Large Deviation and Application, Society for Industrial and Applied Mathematics. MR758258
  7. YAU, H. T. ( 1994), Logarithmic Sobolev Inequality for Kawasaki Dynamics, I. the Independent Case, Preprint. 

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