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 April 2025 Ergodic Theory Meeting will be hosted by The Open University's School of Mathematics & Statistics.
Date: Wednesday 23 April
Location: The Open University, Walton Hall Campus, Milton Keynes (how to get there). You can walk from the train station to the campus, but it's a relatively uneventful 4 mile walk, and so we would recommend taking a taxi or a bus.
Lunch: For those arriving early enough for lunch, we will meet from 12:30 in 'The Hub', which is the campus canteen and café (we have a reserved table). After lunch, we will then travel to the meeting room just before the first talk.
Room: CMR15.
CMR15 is on the first floor of the Christodoulou Meeting Rooms building, which can be accessed without a keycard - just press the button to enter the building.
We have marked the meeting room entrance and The Hub on this campus map.
Schedule
12.30 - 13.30 Lunch
13.30 - 14.30 Stephen Cantrell (Warwick)
14.30 - 15.00 Refreshments
15.00 - 16.00 Maryam Hosseini (City, University of London)
16.15 - 17.15 Simon Baker (Loughborough)
18.00 Dinner (Banana Tree, Holkham Walk, 2-10 Brooklyn, Milton Keynes, MK9 2FS)
Local Organisers: Andrew Mitchell and Dan Rust
Please contact Andrew Mitchell with any questions about the meeting.
Speaker: Stephen Cantrell
Title: Counting statistics for paths in infinite graphs
Abstract: Consider a finite directed graph G and assign each edge a positive length. It is natural to ask: given a path p that visits n vertices, how long do we expect p to be (according to the edge labellings)? This is a classical and well-understood problem. In this talk we will study analogues of this question for infinite graphs. Time permitting, we’ll discuss applications to Euclidean algorithms and translation surfaces. Based on joint work with M. Pollicott.
Speaker: Maryam Hosseini
Title: On Topological factoring of Toeplitz systems
Abstract: The period structures of a Toeplitz sequence indicate the maximal equicontinuous factor of the corresponding Toeplitz system, known as an odometer. In this talk, I will discuss the relationship between the period structures of two Toeplitz sequences and the topological factoring between the corresponding Toeplitz systems.
Speaker: Simon Baker
Title: Nonexistence of the box dimension for attractors of iterated function systems
Abstract: In this talk I will show that there exist a bi-Lipschitz iterated function system for which the attractor has distinct Hausdorff, lower box, and upper box dimensions. This is based upon joint work with Amlan Banaji, De-Jun Feng, Chun-Kit Lai, and Ying Xiong.