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.
|October 2020||December 2020|
Events for 27 November 2020
Singularity structure of scattering amplitudes is as intricate as it is inscrutable. Work in this area over the recent years has been hinting at an existence of a â€œscalar productâ€ between Feynman integrals, which would tell us how to characterize their analytic behavior. In this talk I will explain how to formulate this notion using the tools of intersection theory as well as review its theoretical and practical applications.
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We will discuss the contact process, a model for the spread of an infection in a population, on random graph models in which the degree distribution is a power law. In such graphs, the contact process exhibits metastable behavior (that is, the infection stays active for a very long time) even if the infection rate is close to zero. We will focus on two such random graph models: the configuration model and random hyperbolic graphs. In both these cases, we discuss aspects of the behavior of the process, including the distribution of the extinction time of the infection and the density of infected vertices in typical times of activity. We show in particular that the critical exponent of this density, as the infection rate is taken to zero, is the same for both random graph models, suggesting some universality phenomenon. We will touch on joint work with Amitai Linker, Dieter Mitsche, Thomas Mountford, Jean-Christophe Mourrat, Bruno Schapira and Qiang Yao.
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