Skip to main content
MathOverflow

Return to Question

edited tags
Link
YCor
YCor
  • 63.9k
  • 5
  • 187
  • 286
added 192 characters in body
Source Link
abab
abab
  • 11
  • 2

Let $F_2$ be the free non-abelian group with generators $a, b\in F_2$.

Has the "random walk" where we start with the identity and then multiply it by $a$ or $b$ or $a^{-1}$ or $b^{-1}$ studied in the literature? Are there any books on it?

Also what about the random walk on the set of finite strings consisting of characters 'a' and 'b' where we start with the empty string then either append a character or remove a character?

Let $F_2$ be the free non-abelian group with generators $a, b\in F_2$.

Has the "random walk" where we start with the identity and then multiply it by $a$ or $b$ or $a^{-1}$ or $b^{-1}$ studied in the literature? Are there any books on it?

Let $F_2$ be the free non-abelian group with generators $a, b\in F_2$.

Has the "random walk" where we start with the identity and then multiply it by $a$ or $b$ or $a^{-1}$ or $b^{-1}$ studied in the literature? Are there any books on it?

Also what about the random walk on the set of finite strings consisting of characters 'a' and 'b' where we start with the empty string then either append a character or remove a character?

Source Link
abab
abab
  • 11
  • 2

Random walk on non-abelian free group

Let $F_2$ be the free non-abelian group with generators $a, b\in F_2$.

Has the "random walk" where we start with the identity and then multiply it by $a$ or $b$ or $a^{-1}$ or $b^{-1}$ studied in the literature? Are there any books on it?