## Explicit Salem Sets in R^nAdd to your list(s) Download to your calendar using vCal - Rob Fraser (Edinburgh)
- Tuesday 21 January 2020, 14:00-15:00
- WATN-R17 18, Watson Building.
If you have a question about this talk, please contact Hong Duong. In 1981, R. Kaufman showed that the $\tau$-approximable numbers in $\mathbb{R}$ support a measure $\mu$ satisfying $
|\hat{\mu}|\leq C_\epsilon (1+|\xi|) for any $\epsilon>0$. The exponent $-1/(1+\tau)$ is optimal for a set with Hausdorff dimension $2/(1+\tau)$. Sets supporting a measure with nearly optimal pointwise Fourier decay for their Hausdorff dimension are called Salem sets. We show that a higher-dimensional analogue of the $\tau$-approximable numbers is a Salem set. This provides the first explicit example of a Salem set of dimension other than 0, n-1, or n in $\mathbb{R}n$. (Joint work with Kyle Hambrook) 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 listsApplied Mathematics Seminar Series Postgraduate Seminars in the School of Computer Science Analysis Reading Seminar 2019/2020## Other talksTBA Towards the next generation of hazardous weather prediction: observation uncertainty and data assimilation The Holographic Universe EIC (Title TBC) Developing coherent light sources from van der Waals heterostructures coupled to plasmonic lattices Kolmogorov-Smirnov type testing for structural breaks: A new adjusted-range based self-normalization approach |