One Day Ergodic Theory Meeting

When: Wednesday, March 5, 2025, 2:00 PM - 5:45 PM
Where: Mathematical Sciences Building, Room MB-503 , Mile End

One Day Ergodic Theory Meeting is a "wandering" seminar series supported by an LMS grant and organised by 10 UK universities: Birmingham, Bristol, Durham, Exeter, Loughborough, Manchester, The Open University, Queen Mary, St. Andrews and Warwick. 

The March 2025 Ergodic Theory Meeting will be hosted by Queen Mary's School of Mathematical Sciences. 

14:00 - 15:00 - Kasun Fernando (Brunel)

Title: A Dolgopyat-type estimate for a class of partially hyperbolic systems

Abstract: In this talk, I will discuss a Dolgopyat-type estimate for a class of partially hyperbolic systems on the 2-Torus, and its consequences: the CLT, its higher order corrections, and exponential decay of correlations for a class of three-dimensional skew products. This is a joint work with Roberto Castorrini.

15:00 - 15:30 Refreshments 

15:30 - 16:30 - Sabrina Kombrink (Birmingham)

Title: Dimensions of infinitely generated self-affine sets and restricted digit sets for signed Lüroth expansions

Abstract: For countably infinite IFSs on R2 consisting of affine contractions with diagonal linear parts, we give conditions under which the affinity dimension is an upper bound for the Hausdorff dimension and a lower bound for the lower box-counting dimension. Moreover, we identify a family of countably infinite IFSs for which the Hausdorff and affinity dimension are equal, and which have full dimension spectrum. The corresponding self-affine sets are related to restricted digit sets for signed Lüroth expansions.

16:45 - 17:45 - Donald Robertson (Manchester)

Title: A mild mixing rank one system with non-trivial joinings

Abstract: In recent work with Jon Chaika an ergodic measure-preserving system was constructed having the properties in the title, answering a question of Thouvenot. In this talk I will describe the approach taken to construct such a system, which is different from the usual cutting and stacking procedure, and outline how this relates to other questions  about rank one systems.

Some support is available for participants and any queries regarding support should be sent to Thomas Jordan, Thomas.Jordan@bristol.ac.uk.

For full details on previous editions of the Ergodic Theory Meeting, please visit the Past Meetings webpage.