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of the pdf-file differed from the published book by a different numbering of the pages; this old version has now been replaced by a new one which has the same page numbers as the book.)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)