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This book presents a unified treatment of various problems arising in the theory of financial markets with friction. It gives a succinct account of arbitrage theory for financial markets with and without transaction costs based on a synthesis of ideas.
This monograph develops subjects which could be unified under the title "Stochastic Tikhonov-Levinson theory and its applications." The emphasis is on systems where the fast variables converge uniformly outside the boundary layer. Uniform expansions and large deviations are investigated in detail.
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