Diophantine approximation for algebraic numbers
Advances in Homogeneous Dynamics May 11, 2015 - May 15, 2015
Location: MSRI: Simons Auditorium
well-approximable numbers
Diophantine approximation
Liouville number
transcendental number theory
homogeneous dynamics orbit
Raghunathan's theorem
11Jxx - Diophantine approximation, transcendental number theory [See also 11K60]
11Kxx - Probabilistic theory: distribution modulo $1$; metric theory of algorithms
37A20 - Orbit equivalence, cocycles, ergodic equivalence relations
14241
A number is well approximable (WA) if the error when approximatin by p/q can be made small compared to the sqare of 1/q. Almost all reals are WA. For good reasons quadratic irrationals are not. Nothing is known for cubic irrationals. We show how this relates to special orbits in homogeneous dynamics.
Furstenberg. Notes
|
Download |
14241
H.264 Video |
14241.mp4
|
Download |
Please report video problems to itsupport@msri.org.
See more of our Streaming videos on our main VMath Videos page.