Abstract
We analyze recent proofs of decay of correlations and logarithmic Sobolev inequalities for unbounded spin systems in the perturbative regime developed by B. Zegarlinski, N. Yoshida, B. Helffer, Th. Bodineau. We investigate to this task a simple analytic model. Proofs are short and self-contained.
Mathematics Subject Classification (2000):
- 60GXX
- 60HXX
- 60JXX
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© 2001 Springer-Verlag Berlin/Heidelberg
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Ledoux, M. (2001). Logarithmic Sobolev Inequalities for Unbounded Spin Systems Revisited. In: Azéma, J., Émery, M., Ledoux, M., Yor, M. (eds) Séminaire de Probabilités XXXV. Lecture Notes in Mathematics, vol 1755. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-44671-2_13
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DOI: https://doi.org/10.1007/978-3-540-44671-2_13
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-41659-3
Online ISBN: 978-3-540-44671-2
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