Department of Mathematical Sciences

Dini's helix - a pseudospherical surface Brownian motion Willmore cylinder with umbilic lines
		   (Babich-Bobenko) Triadic Von Koch Snowflake - Fleckinger, Levitin
		   and Vassiliev Darboux transform of a Clifford torus (Holly
		   Bernstein) Mandelbrot fractal geometry

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Alex Cox

Prob-L@b Seminars: Winter 2010

Our seminars our usually held at 12.15 p.m. on Wednesdays in room 4W 1.7. If you wish to find out more, please contact one of the organisers. The speakers are mostly internal (Bath) unless otherwise stated. Details of previous semesters can be found here

6/10/10: Jon Warren (Warwick)

The maximum of Dyson's Brownian motions

I will describe a (short) recent piece of work:

Borodin, Alexei; Ferrari, Patrik; Prahofer, Michael; Sasamoto, Tomohiro; Warren, Jon
Maximum of Dyson Brownian motion and non-colliding systems with a boundary. Electronic Communications in Probability, Vol. 14 (2009)

and use it as an excuse to explain the (important) link between random matrices and queuing systems.

13/10/10: Valentina Cammarota (Sapienza, Rome)

Pseudo-Processes: Joint Distribution of the Process and its Sojourn Time

20/10/10: Mathew Penrose

Percolation and limit theory for the Poisson lilypond model

The lilypond model on a point process in d-space is a growth-maximal system of non-overlapping balls centred at the points, introduced in Häggström & Meester (1996). At time zero, balls start growing at unit rate at each point of the point process, and each ball stops growing as soon as it meets another ball; the lilypond model is the resulting set of balls at time infinity. For the lilypond model over a homogeneous Poisson process, we discuss tail bounds for the size of a typical connected component, and (non)-percolation of the enhanced model in which the balls are enlarged. We also describe central limit theorems for quantities associated with the lilypond model over a sequence of finite point processes in expanding windows.
Joint work with Günter Last.

17/11/10: Mark Peletier

Gradient flows and large-deviation principles

8/12/10: Andreas Kyprianou

A Ciesielski-Taylor type identity for positive self-similar Markov processes


Seminars will be added to this list as they are confirmed. Please check back for the latest list, or subscribe to the prob-sem mailing list to receive details of future seminars

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