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SUMMARY:Dirichlet forms and Dirichlet problems in classical and quantum pr
 obability - Ivan Bardet
DTSTART:20161102T163000Z
DTEND:20161102T173000Z
UID:TALK68594@talks.cam.ac.uk
CONTACT:Lisa Maria Kreusser
DESCRIPTION:Dirichlet forms have been extensively studied in classical pro
 bability theory\nsince their introduction by A. Beurling and J. Deny in tw
 o seminal papers.\nIn a sense\, they give the repartition of the energy in
  a physical system and\nas such are related to certain partial differentia
 l equations\, this connection\nbeing made by the so-called Dirichlet Probl
 em. My goal in the first part of\nthe talk will be to introduce them in th
 e simple framework of a finite set\nand to make the connection with the as
 sociated Markov process on this set.\nThen we will enlarge the study to lo
 cally compact metric spaces and we will\nsee how those ideas can be genera
 lized to the non-commutative setting.
LOCATION:MR14\, Centre for Mathematical Sciences
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