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Nadia Sidorova(UCL) - Localisation and delocalisation in the parabolic Anderson model

Dates:13 November 2019
Times:15:00 - 16:00
What is it:Seminar
Organiser:Department of Mathematics
Speaker:Nadia Sidorova
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  • In category "Seminar"
  • In group "(Maths) Probability and statistics"
  • By Department of Mathematics

Nadia Sidorova (UCL) joins us for the Probability seminar series.

The parabolic Anderson problem is the Cauchy problem for the heat equation on the integer lattice with random potential. It describes the mean-field behaviour of a continuous-time branching random walk. It is well-known that, unlike the standard heat equation, the solution of the parabolic Anderson model exhibits strong localisation. In particular, for a wide class of iid potentials it is localised at just one point. However, in a partially symmetric parabolic Anderson model, the one-point localisation breaks down for heavy-tailed potentials and remains unchanged for light-tailed potentials, exhibiting a range of phase transitions.

Speaker

Nadia Sidorova

Role: Reader in Pure Mathematics

Organisation: UCL

  • https://www.ucl.ac.uk/~ucahnsi/

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Frank Adams 2
Alan Turing Building
Manchester

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Denis Denisov

denis.denisov@manchester.ac.uk

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