A large-deviation view on dynamical

  title={A large-deviation view on dynamical},
  author={Roberto Fern{\'a}ndez and Frank den Hollander and Frank Redig},
We develop a space-time large-deviation point of view on Gibbs-non-Gibbs transitions in spin systems subject to a stochastic spin-flip dynamics. Using the general theory for large deviations of functionals of Markov processes outlined in Feng and Kurtz [11], we show that the trajectory under the spin-flip dynamics of the empirical measure of the spins in a large block in Z satisfies a large deviation principle in the limit as the block size tends to infinity. The associated rate function can be… CONTINUE READING


Publications referenced by this paper.
Showing 1-10 of 36 references

Low-temperature dynamics of the Curie-Weiss model: Periodic orbits

  • V. Ermolaev, C. Külske
  • multiple histories, and loss of Gibbsianness…
  • 2010
Highly Influential
7 Excerpts

Short time conservation of Gibbsianness under local stochastic evolutions

  • A. Le Ny, F. Redig
  • J. Stat. Phys. 109
  • 2002
Highly Influential
9 Excerpts

Ruszel, Loss and recovery of Gibbsianness for XY spins in a small external field

  • W.M.A.C.D. van Enter
  • J. Math. Phys
  • 2008
Highly Influential
4 Excerpts

Gibbsianness and non-Gibbsianness in lattice random fields

  • R. Fernández
  • in: Proceedings of Les Houches Summer School…
  • 2006
Highly Influential
7 Excerpts

Global specifications and non-quasilocality of projections of Gibbs measures

  • R. Fernández, C.-E. Pfister
  • Ann. Prob. 25
  • 1997
Highly Influential
3 Excerpts

Regularity properties and pathologies of position-space renormalization-group transformations: scope and limitations of Gibbsian theory

  • A.C.D. van Enter, R. Fernández, A. Sokal
  • J. Stat. Phys
  • 1993
Highly Influential
4 Excerpts

Ruszel, Gibbsianness versus non-Gibbsianness of timeevolved planar rotor models, Stoch

  • W.M.A.C.D. van Enter
  • Proc. Appl
  • 2010
2 Excerpts

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