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Large Deviations and Idempotent Probability

Large Deviations and Idempotent Probability by Anatolii Puhalskii
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IDEMPOTENT PROBABILITY THEORY
Idempotent Probability Measures
Idempotent Measures
Measurable Maps
Modes of Convergence
Idempotent Integration
Product Spaces
Independence and Conditioning
Idempotent Distributions and Laplace-Fenchel Transforms'
Idempotent Measures on Topological Spaces
Idemptent Measures on Projective Limits
Topological Spaces of Idempotent Probabilities
Maxingales
Stopping Times
Idempotent Stochastic Processes
Exponential Maxingales
Wiener and Poisson Idempotent Processes
Continuous Local Maxingales
Idempotent Ito Equations
Semimaxingales and Maxingale Problems
Proofs of the Uniqueness Results
Convergence of Idempotent Processes
LARGE DEVIATION CONVERGENCE
Large Deviation Convergence in Tihonov Spaces
General Theory
Large Deviation Convergence in the Skorohod Space
The Method of Finite-Dimensional Distributions
Convergence of Stochastic Exponentials
LD Convergence via Convergence of the Characteristics
Corollaries
The Method of the Maxingale Problem
Convergence of Stochastic Exponentials
Convergence of Characteristics
APPLICATIONS
Markov Processes
Queueing Networks
APPENDIX
CRC Press; May 2001
515 pages; ISBN 9781420035803
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Title: Large Deviations and Idempotent Probability
Author: Anatolii Puhalskii
 
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