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SUMMARY:Critical behaviour in long-range and hierarchical percolation
DTSTART:20230627T120000Z
DTEND:20230627T140000Z
DTSTAMP:20230924T165400Z
UID:indico-event-9838@indico.math.cnrs.fr
DESCRIPTION:Speakers: Tom Hutchcroft (Department of Mathematics\, Californ
ia Institute of Technology\, Pasadena\, USA.)\n\nAbstract: Statistical me
chanics models undergoing a phase transition often exhibit rich\, fractal-
like behaviour at their critical points\, which are described in part by
critical exponents – the indices governing the power-law growth or deca
y of various quantities of interest. These exponents are expected to depen
d on the dimension but not on the microscopic details of the model such as
the choice of lattice. After much progress over the last thirty years we
now understand two-dimensional and high-dimensional models rather well\, b
ut intermediate dimensions such as three remain mysterious. I will discuss
these issues in the context of long-range and hierarchical percolation\
, and in particular how we can now compute some critical exponents for the
hierarchical model in all dimensions. \n\nhttps://indico.math.cnrs.fr/ev
ent/9838/
LOCATION:Zoom
URL:https://indico.math.cnrs.fr/event/9838/
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