COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

## Random rigidity in the free groupAdd to your list(s) Download to your calendar using vCal - Danny Calegari (Cambridge)
- Tuesday 28 February 2012, 14:15-15:15
- MR12, CMS, Wilberforce Road, Cambridge, CB3 0WB.
If you have a question about this talk, please contact grg1000. If G is a group, and [G,G] is its commutator subgroup, the commutator length of an element w (denoted cl(w)) is the least number of commutators in G whose product is w; and the stable commutator length scl(w) is the limit of cl(w^n)/n as n goes to infinity. Stable commutator length is related to bounded cohomology and quasimorphisms, but is notoriously difficult to calculate exactly, or even to approximate. However, we show that in a free group F of rank k a random word w of length n (conditioned to lie in [F,F]) has scl(w) = log(2k-1) n / 6 log(n) + o(n / log(n)) with high probability. The proof combines elements from ergodic theory and combinatorics. This is joint work with Alden Walker. This talk is part of the Probability series. ## This talk is included in these lists:- All CMS events
- All Talks (aka the CURE list)
- CMS Events
- DPMMS Lists
- DPMMS info aggregator
- DPMMS lists
- MR12, CMS, Wilberforce Road, Cambridge, CB3 0WB
- Probability
- School of Physical Sciences
- Statistical Laboratory info aggregator
Note that ex-directory lists are not shown. |
## Other listsGraduate Development Lecture Series Cambridge University Geographical Society Science & Music## Other talksWhat sort of challenge is climate change? Fifty years of editorialising in ‘Nature’ and ‘Science’ Embedding Musical Codes into an Interactive Piano Composition Religion, revelry and resistance in Jacobean Lancashire Rhys Jones: Temporal Claustrophobia at the Continental Congress, 1774-1776 |