# Nica and Speicher: Lectures on the Combinatorics of Free Probability

• A. Nica, R. Speicher: Lectures on the combinatorics of free probability, London Mathematical Society Lecture Note Series, Vol. 335, Cambridge University Press, 2006
• Here is a pdf-version by the authors of the book. (Update, May 28, 2020: the old version of the pdf-file differed from the published book by a different numbering of the pages; this old version has now been replaced by a new one which has the same page numbers as the book.)
• Every good book has its typos, so here are ours. It is quite likely that this list will grow over the course of time.
• In Eq. (5.6): $\varphi(a_1b_2a_2b_2)$ should be $\varphi(a_1b_1a_2b_2)$ (page 71)
• page 84, second displayed equation: the second $a_1$ should be a $b_1$
• page 119, first displayed equation and the line before and the line after: $V_m=\{r\}$ should be $V_m=\{p\}$ and correspondingly $a_r$ should be $a_{r(p)}$
• page 168, line -4: $v_{s+1}=n$ should be $v_{s+1}=n+1$
• in Eq. (11.8): the subscript $\pi$ should be $\sigma$ (page 176)
• in Eq. (11.16): in the definition of the set on the left-hand side add that all blocks of $\pi$ are even (page 188)
• in Eq. (12.14): in the case $0\leq \lambda\leq 1$, the density part is $\tilde \nu$, and not $\lambda \tilde \nu$ (page 204)
• in Eq. (15.7): the last $\beta$ should be an $\alpha$; i.e., $\beta_{\vert V_r\vert}$ should be replaced by $\alpha_{\vert V_r\vert}$ (page 242)
• in Exercise 19.26, the hypothesis should be changed to $a$ being standard semicircular (instead of $a^2=1$; the freeness between $a$ and $b$ and the distribution of $b$ (i.e., $b^2=1$) stay the same (page 317)
• in Example 22.34, the cycle (4) is missing in $\gamma \pi$ (page 376)