The principle of the largest terms and quantum large deviations

Oleg V. Gulinsky

Kybernetika (2003)

  • Volume: 39, Issue: 2, page [229]-247
  • ISSN: 0023-5954

Abstract

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We give an approach to large deviation type asymptotic problems without evident probabilistic representation behind. An example provided by the mean field models of quantum statistical mechanics is considered.

How to cite

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Gulinsky, Oleg V.. "The principle of the largest terms and quantum large deviations." Kybernetika 39.2 (2003): [229]-247. <http://eudml.org/doc/33637>.

@article{Gulinsky2003,
abstract = {We give an approach to large deviation type asymptotic problems without evident probabilistic representation behind. An example provided by the mean field models of quantum statistical mechanics is considered.},
author = {Gulinsky, Oleg V.},
journal = {Kybernetika},
keywords = {idempotentmeasures; quantum large deviations; idempotent measure; quantum large deviation},
language = {eng},
number = {2},
pages = {[229]-247},
publisher = {Institute of Information Theory and Automation AS CR},
title = {The principle of the largest terms and quantum large deviations},
url = {http://eudml.org/doc/33637},
volume = {39},
year = {2003},
}

TY - JOUR
AU - Gulinsky, Oleg V.
TI - The principle of the largest terms and quantum large deviations
JO - Kybernetika
PY - 2003
PB - Institute of Information Theory and Automation AS CR
VL - 39
IS - 2
SP - [229]
EP - 247
AB - We give an approach to large deviation type asymptotic problems without evident probabilistic representation behind. An example provided by the mean field models of quantum statistical mechanics is considered.
LA - eng
KW - idempotentmeasures; quantum large deviations; idempotent measure; quantum large deviation
UR - http://eudml.org/doc/33637
ER -

References

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  6. Kolokoltsov V. N., Maslov V. P., The general form of the endomorphisms in the space of continuous functions with values in a numerical semiring with the operation = max , Soviet Math. Dokl. 36 (1988), 1, 55–59 (1988) MR0902683
  7. Minlos R. A., Verbeure, A., Zagrebnov V., 10.1142/S0129055X00000381, Rev. Math. Phys. 12 (2000), 981–1032 MR1782692DOI10.1142/S0129055X00000381
  8. Puhalskii A., Large deviations of semimartingales via convergence of the predictable characteristics, Stochastics 49 (1994), 27–85 (1994) Zbl0827.60017MR1784438
  9. Puhalskii A., The method of stochastic exponentials for large deviations, Stochastic Process. Appl. 54 (1994), 45–70 (1994) MR1302694

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