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.
|January 2020||March 2020|
Events for 17 February 2020
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Given a collection of contracting similarities f_1,...,f_k on R^d, there is a unique compact set K that is equal to the union of f_j(K) for j=1,...,k. We call such a set self-similar. If in addition, a probability vector p_1,...,p_k is given, then there is a unique probability measure mu on R^d such that mu=p_1f_1(mu)+...+p_kf_k(mu). Such a measure is called self-similar. These object are of great interest in fractal geometry and the most fundamental problem about them is to determine their dimension. I will review some recent progress in this area mostly focusing on the case of Bernoulli convolutions. These are self-similar measures on R with respect to the two similarities x->lambda x +1 and x->lambda x - 1, where lambda is a fixed parameter in (0,1).
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Reaction-Diffusion (RD) models are Interacting Particle systems that allow for birth death and jump of particles on a graph.
In this talk I will present a construction of RD models on an infinite (countable) graph.
From the basic construction we will move to the study of the fluid limit of a family of such processes.
As the limit differential equation is not linear, the usual proof of uniqueness of solutions is not available.
I would like to conclude by explaining the coupling estimates that allow for the proof of convergence of the family of RD models.
This is a work in progress with Bernardo da Costa (UFRJ-BR) and Daniel Valesin (UGroningen-NL).
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Science, society and environmental change in the first millennium CE - Lecture: Transformative social changes and slowly unfolding environmental catastrophes in the Norse North Atlantic
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