A three day workshop covering topics in Analysis, Probability and Applications taking place within the Department of Mathematics, University of Sussex, 24 - 26 January 2018.

A three-day long workshop on New Perspectives in Analysis, Probability and Applications will take place at the Department of Mathematics, University of Sussex from Wednesday 24 to Friday 26 January 2018. The purpose of this workshop is to discuss recent developments in these areas, and to explore future directions for common interaction. This is also the occasion to celebrate the new appointments of several lecturers at Sussex.  

 Speakers include:

• John Ball (Oxford)
• Denis Denisov (University of Manchester)
• Andrew Duncan (Sussex)
• Dmitry Korshunov (University of Lancaster)
• Konstantinos Koumatos (Sussex)
• Grigorios Pavliotis (Imperial College London)
• Michela Ottobre (Heriot-Watt)
• Lucia Scardia (University of Bath)
• Vladislav Vysotsky (Sussex)

The workshop consists of three one-day mini-conferences, each devoted to a special topic:

Wednesday 24th January: Day on Mathematics of Material Science

10:30 - 11:00 Coffee

11:00 - 12:00 John Ball (University of Oxford and Heriot-Watt University): Generalized Hadamard jump conditions and polycrystal microstructure

12:00 - 13:30 Lunch

13:30 - 14:30 Lucia Scardia (University of Bath): The equilibrium measure for a nonlocal dislocation energy

14:30 - 15:00 Coffee

15:00 - 16:00 Konstantinos Koumatos (University of Sussex): Programming of shape in narrow strips of liquid crystal elastomers

Thursday 25th January: Day on Diffusions: Theory and Applications

Schedule:

10:30 – 11:00 Coffee Break

11:00 – 12:00 Michela Ottobre (Heriot Watt): A one-dimensional model for self-propelled diffusions

12:00 – 13:30 Lunch

13:30 – 14:30 Grigorios Pavliotis (Imperial College London): Long time behaviour and phase transitions for the McKean-Vlasov equation 

14:30 - 15:00 Coffee Break

15:00 – 16:00 Andrew Duncan (University of Sussex): Tuning Monte Carlo Samplers with Diffusions

Friday 26th January: Day on Markov Chains

This day aims to aims to reflect recent advances in the asymptotic theory of Markov chains.

Schedule:

10:00 – 11:00 Dmitry Korshunov (University of Lancaster): Change of measure technique for Markov chains

11:00 – 11:30 Coffee break

11:30 – 12:30 Denis Denisov (University of Manchester): Key renewal theorem for asymptotically homogeneous Markov chains

12:30 – 14:10  Lunch

14:10 – 15:10 Vladislav Vysotsky (University of Sussex): Stationarity of overshoots of random walks via induced Markov chains

 The full programme including abstracts can be found here.

Venue Details

The event will take place in Pevensey 1A6 at the University of Sussex (building C3 on the campus map).  The University of Sussex is located in Falmer which is a short bus or train ride away from Brighton (directions to the University).  Further local information is available at www.visitbrighton.com.