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.
|December 2017||February 2018|
Events for 26 January 2018
'Hell, Heaven and Hope. A journey through life and the afterlife with Dante', Exhibition curated by Dr Annalisa Cipollone
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We study conformal blocks for thermal one-point-functions in higher-dimensional conformal field theories. These thermal one-point blocks can be represented as AdS Witten-diagram-like integrals. In the absence of angular potentials, the thermal one-point blocks are given analytically as generalised hypergeometric functions. As an application, by studying behavior of thermal one-point functions in the high-temperature limit, we deduce an asymptotic formula for three point coefficients of one light operator and two heavy operators. This result agrees with expectations coming from eigenstate thermalization hypothesis.
It has been known for almost two decades (starting with a 2000 paper by Zhikov) that elliptic partial differential operators with periodic high-contrast coefficients, describing certain composite materials, have band gap spectrum described by Zhikov's beta-function in the homogenisation limit. The homogenised operator is of the two-scale nature, it has a macroscopic and microscopic (corresponding to the period of the composite) parts. While the stochastic homogenisation is a well established area of mathematics, the high-contrast stochastic homogenisation has hardly been addressed, and it seems that there is not a single paper studying the spectral problems in high-contrast stochastic homogenisation. We initiate the research in this direction and show that similarly to the periodic case in the stochastic high contrast setting(under some lenient conditions) the spectrum has a band gap structure characterised by a function similar to Zhikov's beta-function, we study the limit two-scale operator with the stochastic microscopic component and prove the convergence of the spectra.
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