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RELATED STAFF
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DynamIC Seminars (Complete List)

Name Title Date Time Room
David Sixsmith (University of Liverpool)On domains with connected pre-imageAbstract: Suppose that f is a transcendental entire function, and that U and V are disjoint simply-connected domains. In 1970 it was (implicitly) claimed that at least one of these domains has disconnected pre-image under f. It was recently observed that there is a flaw in the proof of this claim. We discuss this flaw, and how to construct examples which show that the claim is in fact false; indeed, there can be infinitely many disjoint simply-connected domains with connected pre-image under f. We also consider additional hypotheses sufficient to make the claim true. Tuesday, 5 December 2017 14:00 Huxley 139
Victor Beresnevich (University of York)TBAAbstract: TBA Tuesday, 16 January 2018 14:00
Sanjeeva Balasuriya (University of Adelaide)Stochastic sensitivity: a computable measure for uncertainty of deterministic trajectoriesAbstract: Uncertainties in velocity data are often ignored when computing Lagrangian particle trajectories of fluids. Modelling these as noise in the velocity field leads to a random deviation from each trajectory. This deviation is examined within the context of small (multiplicative) stochasticity applying to a two-dimensional unsteady flow operating over a finite-time. It is proven that the deviation's expectation is zero, and that its variance is bounded by a quantity defined to be the stochastic sensitivity S^2. The S^2 field provides a measure of uncertainty for trajectories beginning at each location. An easily computable expression for S^2 is derived. Monte Carlo simulations are used on a model flow to quantitatively validate the usage of S^2, and moreover demonstrate the significant potential of S^2 as a new tool for identifying coherent structures in flows even when the velocity is only available as data. Tuesday, 23 January 2018 14:00

DynamIC Workshops and Mini-Courses (Complete List)

Title Date Venue
LMS Network Meeting in Holomorphic DynamicsWednesday, 22 March 2017Imperial College London
Aspects of Dynamical SystemsThursday, 16 March 2017 – Saturday, 18 March 2017Imperial College London
Mini-Workshop on the Dynamics of Complex NetworksTuesday, 10 January 2017Imperial College London
One Day Dynamics MeetingTuesday, 13 December 2016Imperial College London

Short-term DynamIC Visitors (Complete List)

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