A Complex Version of G-Expectation and its Application to Conformal Martingale
classification
🧮 math.PR
keywords
conformalcomplexg-brownianmotionversionanalysisanalyticapplication
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This paper is concerned with the connection between G-Brownian Motion and analytic functions. We introduce the complex version of sublinear expectation, and then do the stochastic analysis in this framework. Furthermore, the conformal G-Brownian Motion is introduced together with a representation, and the corresponding conformal invariance is shown.
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