# Moderate deviations for a Curie–Weiss model with dynamical external field

ESAIM: Probability and Statistics (2013)

- Volume: 17, page 725-739
- ISSN: 1292-8100

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topReichenbachs, Anselm. "Moderate deviations for a Curie–Weiss model with dynamical external field." ESAIM: Probability and Statistics 17 (2013): 725-739. <http://eudml.org/doc/274358>.

@article{Reichenbachs2013,

abstract = {In the present paper we prove moderate deviations for a Curie–Weiss model with external magnetic field generated by a dynamical system, as introduced by Dombry and Guillotin-Plantard in [C. Dombry and N. Guillotin-Plantard, Markov Process. Related Fields 15 (2009) 1–30]. The results extend those already obtained for the Curie–Weiss model without external field by Eichelsbacher and Löwe in [P. Eichelsbacher and M. Löwe, Markov Process. Related Fields 10 (2004) 345–366]. The Curie–Weiss model with dynamical external field is related to the so called dynamic ℤ-random walks (see [N. Guillotin-Plantard and R. Schott, Theory and applications, Elsevier B. V., Amsterdam (2006).]). We also prove a moderate deviation result for the dynamic ℤ-random walk, completing the list of limit theorems for this object.},

author = {Reichenbachs, Anselm},

journal = {ESAIM: Probability and Statistics},

keywords = {moderate deviations; large deviations; statistical mechanics; Curie–Weiss model; dynamic random walks; ergodic theory; Curie-Weiss model},

language = {eng},

pages = {725-739},

publisher = {EDP-Sciences},

title = {Moderate deviations for a Curie–Weiss model with dynamical external field},

url = {http://eudml.org/doc/274358},

volume = {17},

year = {2013},

}

TY - JOUR

AU - Reichenbachs, Anselm

TI - Moderate deviations for a Curie–Weiss model with dynamical external field

JO - ESAIM: Probability and Statistics

PY - 2013

PB - EDP-Sciences

VL - 17

SP - 725

EP - 739

AB - In the present paper we prove moderate deviations for a Curie–Weiss model with external magnetic field generated by a dynamical system, as introduced by Dombry and Guillotin-Plantard in [C. Dombry and N. Guillotin-Plantard, Markov Process. Related Fields 15 (2009) 1–30]. The results extend those already obtained for the Curie–Weiss model without external field by Eichelsbacher and Löwe in [P. Eichelsbacher and M. Löwe, Markov Process. Related Fields 10 (2004) 345–366]. The Curie–Weiss model with dynamical external field is related to the so called dynamic ℤ-random walks (see [N. Guillotin-Plantard and R. Schott, Theory and applications, Elsevier B. V., Amsterdam (2006).]). We also prove a moderate deviation result for the dynamic ℤ-random walk, completing the list of limit theorems for this object.

LA - eng

KW - moderate deviations; large deviations; statistical mechanics; Curie–Weiss model; dynamic random walks; ergodic theory; Curie-Weiss model

UR - http://eudml.org/doc/274358

ER -

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