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Chapter 3 - Feller Processes Edit

page 93 - One reads

Liggett

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one should be aware that to make exercise 3.2, it is important to use (3.2) and (3.3). see discussion in

http://math.stackexchange.com/questions/1450167/one-time-feller-continuity-and-n-time-continuity-functions-in-the-context-of-lig

pg 107: One reads

Liggett02
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instead of $ \mathbb{E}^x f(L(0)) g(X(\tau)) = \lim_{t \downarrow 0}\lim_{n\to \infty} \mathbb{E}^x f(X(\tau_n)) g (X(\tau_n + t)) $ it should be $ \mathbb{E}^x [f(L(0)) g(X(\tau))] = \lim_{t \downarrow 0}\lim_{n\to \infty} \mathbb{E}^x [f(X(\tau_n)) g (X(\tau_n + t))] $

Appendix A.7 Discrete Time Martingales Edit

page 260 - one reads:

Liggett012

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Instead of $ \mathbb{E} (\vert X_\alpha\vert , \vert X_\alpha \vert \geq N)\ \leq \frac{\mathbb{E}X^2_\alpha}{N} $ shouldn't it be $ \mathbb{E} (\vert X_\alpha\vert , \vert X_\alpha \vert \geq N)\ \leq \frac{\mathbb{E}X^2_\alpha}{N^2} $