Weak invariance principles for local time
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Publication:3917270
DOI10.1007/BF00535709zbMath0465.60065MaRDI QIDQ3917270
Publication date: 1982
Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)
Sums of independent random variables; random walks (60G50) Brownian motion (60J65) Local time and additive functionals (60J55)
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Cites Work
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- A global intrinsic characterization of Brownian local time
- Distribution function inequalities for martingales
- A non-standard representation for Brownian motion and Ito integration
- A Hölder condition for Brownian local time
- An infinitesimal approach to stochastic analysis
- Nonstandard Construction of the Stochastic Integral and Applications to Stochastic Differential Equations.I
- Conversion from Nonstandard to Standard Measure Spaces and Applications in Probability Theory
- Weak Limits of Measures and the Standard Part Map
- A Nonstandard Characterization of Weak Convergence
- Random Walks and A Sojourn Density Process of Brownian Motion