Large Deviations and Idempotent Probability

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