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arxiv: 1309.0705 · v2 · pith:IEEWTUM5new · submitted 2013-09-03 · 🧮 math.PR

Small Deviations for Time-Changed Brownian Motions and Applications to Second-Order Chaos

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We prove strong small deviations results for Brownian motion under independent time-changes satisfying their own asymptotic criteria. We then apply these results to certain stochastic integrals which are elements of second-order homogeneous chaos.

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