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SUMMARY:Loewner-Kufarev Evolutions - Anne Schreuder\, University of Cambri
 dge
DTSTART:20240126T160000Z
DTEND:20240126T170000Z
UID:TALK209284@talks.cam.ac.uk
CONTACT:Alexis Marchand
DESCRIPTION:Loewner-Kufarev Evolutions are a representation for (continuou
 sly) growing simply connected sets in the plane. To my knowledge it is one
  of the very rare analytic representation theorems. The core idea is that\
 nwe can describe growing sets by a family of measures that encodes how qui
 ckly which part of the boundary grows.\nAs a result\, we obtain an equival
 ence between analytic properties of certain functions and geometric proper
 ties of simply connected sets in the plane. This approach has been applied
  to prove distortion estimates of conformal maps and is very popular in st
 udying random growth models.
LOCATION:MR13
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