University of Birmingham > Talks@bham > Analysis seminar > Hausdorff dimension, Borel maps and random sets

## Hausdorff dimension, Borel maps and random setsAdd to your list(s) Download to your calendar using vCal - Andras Mathe (Warwick)
- Wednesday 04 November 2009, 16:00-17:00
- Watson Building, LRA.
If you have a question about this talk, please contact Neal Bez. Is there a Borel map f: R → R that takes all “small” sets to “large” sets? Can one increase the dimension of all sets by a Borel map? Are the 1/3 and 1/2-dimensional Hausdorff measures essentially the same, that is, isomorphic? To answer the above questions we will consider some constructions of random compact sets and give dimension estimates. We will show that Hausdorff measures of different dimensions are not Borel isomorphic, solving a problem of D.Preiss and B.Weiss. This talk is part of the Analysis seminar series. ## This talk is included in these lists:Note that ex-directory lists are not shown. |
## Other listsContemporary History What's on in Physics? Lab Lunch## Other talksEffective Hamiltonians and non-equilibrium dynamics in Floquet conformal field theories Gravitational wave progenitors near and far Periodic PDEs with critical contrast: unified approach to homogenisation and links to time-dispersive media (Joint Analysis / Applied Mathematics Seminar) From 2nd to 3rd generation GW detectors School Seminar TBA |