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