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SUMMARY:The Feynman approximation for the solution of heat equation on bra
 nching manifolds
DTSTART:20131028T100000
DTEND:20131028T110000
DTSTAMP:20260609T140455Z
UID:908f68a41ef3307b9e986d0333e6045cf3de1ebc278fbce72c382af9
CATEGORIES:Conferences - Seminars
DESCRIPTION:Viktoryia Dubravina - Moscow State University\nWe shall invest
 igate the Feynman approximation for the solutions of Cauchy problem for sp
 ecial type of differentional equations of second order of a branching mani
 fold Y3. These solutions will be represented as a limit of multiple integr
 als over Cartesian powers of configuration space\, as multiplicity tends t
 o\ninfinity. Such representations are called a Lagrangian Feynman formulae
 . We consider the collection of differentional equations which can describ
 e the diffusion or similar processes on a branching manifold Y3\, which ca
 n be described as a Cartesian multiplication of a real line R and a graph 
 consisting of one\nvertex and 3 rays. The coefficients of heat conductivit
 y are considered to be the parameters of our equations. And their solution
 s satisfy natural border conditions - the consistence of functions on comm
 on line of Y3 and the analogue of Kirchhoff’s circuit law (the sum of de
 rivatives of the solution taken with coefficients\, equals 0). These condi
 tions specify the Feynman formula which is used to solve the problem.
LOCATION:BI A0 448 https://plan.epfl.ch/?room==BI%20A0%20448
STATUS:CONFIRMED
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