Events

Mar
22
Tue 2016

14:05 - 14:55

Organised by Prof Jonathan Healey.

Hosted by Keele University.

Mar
18
Fri 2016

15:05 - 15:55

Organised by Prof Michael Rathjen.

Hosted by University of Leeds.

Feb
16
Tue 2016

15:00 - 17:30

Hosted by University of Exeter.

Feb
3
Wed 2016

14:00 - 16:00

Hosted by University of Manchester.

Dec
21
Mon 2015

16:00 - 17:00

Hosted by University of Manchester.

Dec
15
Tue 2015

13:00 - 14:30

Organised by Professor Martin Lindsay.

Hosted by University of Lancaster.

Dec
15
Tue 2015

11:00 - 12:30

Organised by Professor Martin Lindsay.

Hosted by University of Lancaster.

Dec
10
Thu 2015

18:10 - 18:15

Organised by James Perrin.

Hosted by University of Manchester.

Dec
9
Wed 2015

15:00 - 17:00

Hosted by University of Exeter.

Dec
4
Fri 2015

15:00 - 16:00

Hosted by *External.

We will present two results in mathematical physics which can be obtained as applications of a result in homogeneous dynamics. The first result concern the dynamics in a class of pseudo-integrable billiards in ellipses, i.e. elliptical billiards with a vertical barrier. The other the behaviour of light rays in arrays of perfect retroreflectors, also known as Eaton lenses. Both results are based on an equidistribution result in the space of affine lattices, that guarantees that typical points on certain curves are Birkhoff generic. The talk is based on joint work with Krzysztof Fraczek and Ronggang Shi.

Nov
28
Sat 2015

16:00 - 17:00

Hosted by University of Manchester.

Nov
23
Mon 2015

14:05 - 14:15

Organised by James Perrin.

Hosted by University of Manchester.

Nov
21
Sat 2015

16:00 - 17:00

Hosted by University of Manchester.

Nov
14
Sat 2015

16:00 - 17:00

Hosted by University of Manchester.

Nov
9
Mon 2015

14:30 - 15:30

Organised by Prof Peter Ashwin.

Hosted by University of Exeter.

We study continuity properties of dynamical quantities while crossing the Mandelbrot set through typical smooth curves. In particular, we prove that for almost every parameter c0 in the boundary of the Mandelbrot set M with respect of the harmonic measure and every smooth curve γ:[−1,1]→ C with the property that c0=γ(0) there exists a set Aγ having 0 as a Lebesgue density point and such that that limx→ 0 HDim(Jγ(x) = HDim(Jc0) for the Julia sets Jc. (joint work with Jacek Graczyk)