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SUMMARY:Extended Poisson-Kac theory: A unifying framework for stochastic p
 rocesses with finite propagation velocity - Rainer Klages (Queen Mary Univ
 ersity of London)
DTSTART:20220324T113000Z
DTEND:20220324T120000Z
UID:TALK171713@talks.cam.ac.uk
DESCRIPTION:We present a theoretical framework for stochastic processes po
 ssessing physically realistic finite propagation velocity [1]. Our approac
 h is motivated by the theory of Levy walks\, which we embed into an extens
 ion of conventional Poisson-Kac processes. The resulting extended theory e
 mploys generalised transition rates to model subtle microscopic dynamics\,
  which reproduces non-trivial spatio-temporal correlations on macroscopic 
 scales. It thus enables the modelling of many different kinds of dynamical
  features\, as is illustrated by three examples.\n[1] M.Giona\, A.Cairoli\
 , R.Klages\, arXiv:2009.13434 and PRX (2022)\, in print
LOCATION:Seminar Room 1\, Newton Institute
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