Limit theorem and large deviation principle for the Voronoi tessellation generated by a Gibbs point process

The Voronoi tessellation generated by a Gibbs point process is considered. Using the algebraic formalism of polymer expansion, the limit theorem and the large deviation principle for the number of Voronoi vertices are proved.

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Limit theorem and large deviation principle for the Voronoi tessellation generated by a Gibbs point process

Advances in Applied Probability ◽

10.1017/s0001867800024162 ◽

1992 ◽

Vol 24 (01) ◽

pp. 45-70 ◽

Cited By ~ 1

Author(s):

Koji Kuroda ◽

Hideki Tanemura

Keyword(s):

Limit Theorem ◽

Point Process ◽

Large Deviation Principle ◽

Large Deviation ◽

Voronoi Tessellation ◽

Deviation Principle ◽

Gibbs Point Process ◽

Polymer Expansion ◽

Algebraic Formalism

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A remark on the connection between the large deviation principle and the central limit theorem

Statistics & Probability Letters ◽

10.1016/0167-7152(93)90012-8 ◽

1993 ◽

Vol 18 (4) ◽

pp. 253-256 ◽

Cited By ~ 43

Author(s):

Wlodzimierz Bryc

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Large Deviation Principle ◽

Large Deviation ◽

Deviation Principle ◽

The Central Limit Theorem

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Central Limit Theorem and Large Deviation Principle for Continuous Time Open Quantum Walks

Annales Henri Poincaré ◽

10.1007/s00023-017-0597-7 ◽

2017 ◽

Vol 18 (10) ◽

pp. 3167-3192 ◽

Cited By ~ 5

Author(s):

Hugo Bringuier

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Continuous Time ◽

Large Deviation Principle ◽

Large Deviation ◽

Quantum Walks ◽

Open Quantum ◽

Deviation Principle

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Large Deviation Principle for Occupancy Problems With Colored Balls

10.21236/ada461905 ◽

2003 ◽

Author(s):

Paul Dupuis ◽

Carl Nuzman ◽

Phil Whiting

Keyword(s):

Large Deviation Principle ◽

Large Deviation ◽

Deviation Principle ◽

Occupancy Problems

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Large deviation principle for the field in prequantum classical statistical field theory

Infinite Dimensional Analysis Quantum Probability and Related Topics ◽

10.1142/s0219025717500254 ◽

2017 ◽

Vol 20 (04) ◽

pp. 1750025

Author(s):

Andrei Khrennikov ◽

Achref Majid

Keyword(s):

Field Theory ◽

Random Field ◽

Field Model ◽

Large Deviation Principle ◽

Large Deviation ◽

Background Field ◽

Deviation Principle ◽

Statistical Field ◽

Statistical Field Theory

In this paper, we prove a large deviation principle for the background field in prequantum statistical field model. We show a number of examples by choosing a specific random field in our model.

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Large deviation principle for stochastic Boussinesq equations driven by Lévy noise

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2016.02.054 ◽

2016 ◽

Vol 439 (2) ◽

pp. 523-550 ◽

Cited By ~ 2

Author(s):

Yan Zheng ◽

Jianhua Huang

Keyword(s):

Large Deviation Principle ◽

Large Deviation ◽

Boussinesq Equations ◽

Lévy Noise ◽

Deviation Principle ◽

Levy Noise

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The Large Deviation Principle for Common Statistical Tests Against a Contaminated Normal

Advances in Statistical Decision Theory and Applications ◽

10.1007/978-1-4612-2308-5_16 ◽

1997 ◽

pp. 239-252

Author(s):

N. Rao Chaganty ◽

J. Sethuraman

Keyword(s):

Large Deviation Principle ◽

Large Deviation ◽

Statistical Tests ◽

Deviation Principle

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LARGE DEVIATIONS FOR FLOWS OF INTERACTING BROWNIAN MOTIONS

Stochastics and Dynamics ◽

10.1142/s0219493710002978 ◽

2010 ◽

Vol 10 (03) ◽

pp. 315-339 ◽

Cited By ~ 2

Author(s):

A. A. DOROGOVTSEV ◽

O. V. OSTAPENKO

Keyword(s):

Brownian Motion ◽

Large Deviations ◽

Large Deviation Principle ◽

Large Deviation ◽

Stochastic Flows ◽

Brownian Motions ◽

Deviation Principle ◽

And Brownian Motion

We establish the large deviation principle (LDP) for stochastic flows of interacting Brownian motions. In particular, we consider smoothly correlated flows, coalescing flows and Brownian motion stopped at a hitting moment.

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