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SUMMARY:Pseudospectra: Two Different Ways - Catherine Drysdale (University
  of Birmingham)
DTSTART:20231123T150000Z
DTEND:20231123T160000Z
UID:TALK207697@talks.cam.ac.uk
CONTACT:Nicolas Boulle
DESCRIPTION:I will talk about how pseudospectra comes up in two different 
 ways in my research. Firstly\, I will talk the certification and computati
 on of pseudospectra for a non-self-adjoint linear operator. Efficient calc
 ulation of the pseudospectrum for unbounded operators in infinite dimensio
 nal spaces is a relatively unexplored territory. Often finite-dimensional 
 subspaces are used in place of the infinite dimensional space. However\, t
 he use of finite dimensional subspaces changes the qualitative nature of p
 seudospectral contours from unbounded curves with asymptotic behaviour at 
 infinity to closed loops. The overlap between these curves forms the well-
 resolved of the pseudospectrum. It is useful to have a certification proce
 ss for these calculated points. Secondly\, I will talk about more recent w
 ork in using pseudospectra to model the HPA axis. Pseudospectra can be obt
 ained via creating models or via data driven approaches. I will discuss th
 e pros and cons of these different methods\, which include interpretabilit
 y and matching to experimental data.
LOCATION:Centre for Mathematical Sciences\, MR14
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