Research lectures, seminars and events
The events listed in this area are research seminars, workshops and lectures hosted by Durham University departments and research institutes. If you are not a member of the University, but wish to enquire about attending one of the events please contact the organiser or host department.
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Events for 22 April 2013
Methodological Issues in Intercultural, International and Comparative Research One Day Conference
Contact nicola.savvides@durham.ac.uk for more information about this event.
Forms of Time Public Lecture: ‘Time, Tidalectics, and the Socio-Ecological Totality’
Contact stefano.cracolici@durham.ac.uk for more information about this event.
Alex Mijatovic: On the loss of the semimartingale property at the hitting time of a level
This talk describes the loss of the semimartingale property of the process $g(Y)$ at the time a one-dimensional diffusion $Y$ hits a level, where $g$ is a difference of two convex functions. We show that the process $g(Y)$ can fail to be a semimartingale in two ways only, which leads to a natural definition of non-semimartingales of the \textit{first} and \textit{second kind}. We give a deterministic if and only if condition (in terms of $g$ and the coefficients of $Y$) for $g(Y)$ to fall into one of the two classes of processes, which yields a characterisation for the loss of the semimartingale property. As an application we construct an adapted diffusion $Y$ on $[0,\infty)$ and a \emph{predictable} finite stopping time $\zeta$, such that $Y$ is a semimartingale on the stochastic interval $[0,\zeta)$, continuous at $\zeta$ and constant after $\zeta$, but is \emph{not} a semimartingale on $[0,\infty)$. This is joint work with M. Urusov.
Contact i.r.vernon@durham.ac.uk, i.h.jermyn@durham.ac.uk for more information about this event.
John Hunton: Aperiodic Tilings and Attractive Shapes
Aperiodic patterns and tilings - highly structured but non-periodic decorations of Euclidean space - have proved a rich source of mathematics at the interface of topology, geometry and dynamics, as well as providing applications to mathematical biology (viral models) and materials science (quasicrystals). This talk, addressing just the mathematical point of view, will introduce the subject for the non-specialist and describe some recently developed tools drawn from topology, geometric group theory and a little homological algebra, that have provided new insights and made connections to the study of certain types of chaotic attractors in manifolds.
Contact dzmitry.badziahin@durham.ac.uk, alexander.stasinski@durham.ac.uk for more information about this event.
