Event calendar file
School of Mathematics Seminars and Lectures
`Distributional limits of positive, ergodic stationary processes & infinite ergodic transformations.'
by Prof. Jon Aaronson (Tel aviv university, Israel)
Monday, April 18, 2016
from
to
(Asia/Kolkata)
at TIFR, Mumbai ( AG-77 )
at TIFR, Mumbai ( AG-77 )
| Description |
In infinite ergodic theory, distributional limits replace the absolutely normalized pointwise ergodic theorem. I'll give a review of the subject and then show that every random variable on the positive reals occurs as the distributional limit of some infinite ergodic transformation. This is a consequence of the dual result that every random variable on the positive reals occurs as the distributional limit ofthe partial sums some positive, ergodic stationary process normalized by a 1-regularly varying normalizing sequence (& the process can be chosen over any EPPT). Joint work in progress with Benjamin Weiss. |
