Events

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)

Nov
7
Sat 2015

16:00 - 17:00

Hosted by University of Manchester.

Oct
31
Sat 2015

16:00 - 17:00

Hosted by University of Manchester.

Oct
25
Sun 2015

16:00 - 17:00

Hosted by University of Manchester.

Oct
19
Mon 2015

16:00 - 17:00

Hosted by University of Manchester.

Oct
12
Mon 2015

16:00 - 17:00

Hosted by University of Manchester.

Oct
7
Wed 2015

16:00 - 17:00

Organised by Prof Peter Ashwin.

Hosted by University of Manchester.

MAGIC Launch Lecture: Chaos, numbers and fractuals: the MAGIC of ergodic theory

Charles Walkden (University of Manchester)

Abstract: Dynamical systems is the study of iteration: given a map T acting on a space X and a point x ∈ X, what happens when one repeatedly applies the map T to x? Often, dynamical systems are chaotic: two points x,y ∈ X that start very close to each other can have very different behaviours under iteration. Instead of trying to understand the behaviour of every point under iteration, ergodic theory takes a more qualitative view: what does the long-term behaviour of a typical point look like? In addition, subsets of X that are invariant under the dynamics have a complicated structure and are commonly `fractal' in nature. We will see how these notions fit together and allow us to obtain some striking and surprising results in number theory.

Oct
5
Mon 2015

16:00 - 17:00

Hosted by University of Manchester.

Oct
1
Thu 2015

09:00 - 10:00

Hosted by University of Manchester.

Sep
30
Wed 2015

15:00 - 16:00

Organised by James Perrin.

Hosted by University of Manchester.

I will be demonstrating MAGIC and the Visimeet Video Conferencing software for Node Representatives and Lecturers on Wed 30 Sep 2015 at 3pm. I strongly recommend that you attend even if you are comfortable using the software as there have been some changes since last semester.

Sep
28
Mon 2015

16:00 - 17:00

Hosted by University of Manchester.

Sep
25
Fri 2015

10:00 - 11:00

Hosted by University of Manchester.

Sep
23
Wed 2015

08:30 - 17:00

Hosted by University of Manchester.

Sep
3
Thu 2015

14:00 - 17:00

Hosted by University of Manchester.

Jul
1
Wed 2015

14:00 - 17:00

Organised by Sam Blackburn.