Junior Ergodic Theory Meeting

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Junior Ergodic Theory Meeting

 28 - 31 Mar 2022

ICMS, Bayes Centre, Edinburgh

This meeting brought together PhD students and postdocs in ergodic theory for a week of lectures, research talks and networking activity.
  • Solly Coles, University of Warwick
  • Rhiannon Dougall, Durham University
  • Natalia Jurga, University of St Andrews
  • Tom Kempton, University of Manchester

About:

The workshop included three mini-courses:

  • Diophantine Approximation, Fractal Geometry, and Shrinking Targets (Simon Baker, University of Birmingham) (lecture notes)
  • Ergodic Theory of Interval Maps (Selim Ghazouani, Imperial)
  • Ergodic Theory and Additive Combinatorics (Joel Moreira, University of Warwick)

A significant aim of the meeting was to rebuild a sense of community among early career ergodic theory researchers following the isolation of the last two years.

Programme:

Monday 28 March
09.00 – 09.50:        registration & coffee
09.50 – 10.00:         welcome
10.00 – 11.00:         Joel Moreira (University of Warwick) - mini-course - Ergodic Theory and Additive Combinatorics 1
11.00 – 12.00:         Selim Ghazouani (Imperial) - mini-course - Ergodic Theory of Interval Maps 1
12.00 – 13.30:         lunch
13.30 – 14.15:         Nicolò Paviato, (University of Warwick) - Absence of a spectral gap for flows (abstract)
14.15 - 15.15:          coffee
15.15 – 16.00:         Clement Hege (University of Manchester) - Route to chaos for open maps and functions with plateaus, a parallel study of the transition to chaos
                                         
(abstract)
16.00 – 17.00:         Lawrence Lee (University of Manchester) - L^q-spectra of self-affine measures: closed forms, counterexamples, and split binomial sums
                                         
(abstract)
17.05 – 18.45:         supper at ICMS

Tuesday 29 March
09.00 – 10.00:         Simon Baker (University of Birmingham) - mini-course - Diophantine Approximation, Fractal Geometry, and Shrinking Targets 1
10.00 – 10.30:         coffee
10.30 – 11.30:         Joel Moreira (University of Warwick) - mini-course - Ergodic Theory and Additive Combinatorics 2
11.30 – 12.00:         Desmond Li (University of Bristol) - Fractal Laplacians and Krein Strings (abstract) (talk slides)
12.00 – 12.05          group photograph
12.05 – 14.00:         lunch & problem session (Joel Moreira)
14.00 – 14.45:         Alec Chamberlain Cann (University of Bristol) - More refined multifractal spectra for Bedford-McMullen carpets (abstract)
14.45 – 15.15:         coffee
15.15 – 16.00:         Julia Slipantschuck (University of Warwick) - Pollicott-Ruelle resonances for Anosov diffeomorphisms
16.00 – 17.00:         Simon Baker (University of Birmingham) - mini-course - Diophantine Approximation, Fractal Geometry, and Shrinking Targets 2 (abstract)
17.00 - 18.00           drinks reception at ICMS

Wednesday 30 March
09.00 – 10.00:         Joel Moreira (University of Warwick) - mini-course - Ergodic Theory and Additive Combinatorics 3
10.00 – 10.30:         coffee
10.30 – 11.30:         Simon Baker (University of Birmingham) - mini-course - Diophantine Approximation, Fractal Geometry, and Shrinking Targets 3
11.30 – 12.00:         Andrew Mitchell (University of Birmingham) - contributed talk
12.00 – 14.00:         lunch & problem session (Simon Baker)
14.00 – 14.45:         Amlan Banaji (University of St Andrews) - Intermediate dimensions (abstract)
14.45 – 15.15:         coffee
15.15 – 16.00:         Liam Stuart (University of St Andrews) - Refined horoball counting for Kleinian group actions (abstract) (talk slides)
16.00 – 17.00:         István Kolossváry (University of St Andrews) - Intermediate dimensions of Bedford-McMullen carpets (abstract)
18.30:                           dinner at Blonde restaurant

Thursday 31 March
09.30 – 10.30:         Selim Ghazouani (Imperial) - mini-course - Ergodic Theory of Interval Maps 2
10.30 – 11.00:         coffee
11.00 – 12.00:         Selim Ghazouani (Imperial) - mini-course - Ergodic Theory of Interval Maps 3
12.00 – 14.00:         lunch & problem session 
14.00 – 14.45:         Maria Siskaki (University of Illinois) - The distribution of reduced quadratic irrationals arising from continued fraction expansions (abstract)
14.45 – 15.15:         coffee
15.15 – 16.00:         Solly Coles (University of Warwick) - Helicity and linking numbers for 3-dimensional Anosov flows (abstract)
16.00 – 17.00:         Borys Kuca (University of Jyväskylä) - The polynomial Szemerédi theorem and beyond (abstract) (talk slides)
17.00:                            end of workshop

Sponsors and Funders:

We gratefully acknowledge financial support from the Edinburgh Mathematical Society and the Glasgow Mathematical Journal Trust.