Stopping times and related Itô's calculus with \(G\)-Brownian motion
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Publication:550162
DOI10.1016/j.spa.2011.03.009zbMath1225.60088arXiv0910.3871OpenAlexW1564920178MaRDI QIDQ550162
Publication date: 8 July 2011
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0910.3871
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Cites Work
- Unnamed Item
- Large deviations for stochastic differential equations driven by \(G\)-Brownian motion
- Filtration consistent nonlinear expectations and evaluations of contingent claims
- Pathwise properties and homeomorphic flows for stochastic differential equations driven by \(G\)-Brownian motion
- A theoretical framework for the pricing of contingent claims in the presence of model uncertainty
- Martingale characterization of \(G\)-Brownian motion
- On representation theorem of \(G\)-expectations and paths of \(G\)-Brownian motion
- Survey on normal distributions, central limit theorem, Brownian motion and the related stochastic calculus under sublinear expectations
- Nonlinear expectations and nonlinear Markov chains
- Multi-dimensional \(G\)-Brownian motion and related stochastic calculus under \(G\)-expectation
- Theory of capacities
- Second-order backward stochastic differential equations and fully nonlinear parabolic PDEs
- Pricing and hedging derivative securities in markets with uncertain volatilities
- Uncertain volatility and the risk-free synthesis of derivatives
- Extension and Application of Itô's Formula UnderG-Framework
- Ambiguity, Risk, and Asset Returns in Continuous Time