Liggett - Continuous Time Markov Processes

Chapter 3 - Feller Processes
page 93 - One reads



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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 -

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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
page 260 - one reads:

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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 $$\mathbb{E} (\vert X_\alpha\vert , \vert X_\alpha \vert \geq N)\ \leq \frac{\mathbb{E}X^2_\alpha}{N^2}$$