Multiple Schramm-Loewner Evolutions and Statistical Mechanics Martingales

Details Multiple Schramm-Loewner Evolutions and Statistical Mechanics Martingales Multiple Schramm-Loewner Evolutions and Statistical Mechanics Martingales

2005-03-10

arxiv.org/abs/math-ph/0503024v2

Physics

Mathematical Physics

40 pages, 6 figures. V2: well, it looks better with the addresses

Scientific paper

10.1007/s10955-005-7002-5

A statistical mechanics argument relating partition functions to martingales is used to get a condition under which random geometric processes can describe interfaces in 2d statistical mechanics at criticality. Requiring multiple SLEs to satisfy this condition leads to some natural processes, which we study in this note. We give examples of such multiple SLEs and discuss how a choice of conformal block is related to geometric configuration of the interfaces and what is the physical meaning of mixed conformal blocks. We illustrate the general ideas on concrete computations, with applications to percolation and the Ising model.

Affiliated with

Also associated with

No associations

Rating

Multiple Schramm-Loewner Evolutions and Statistical Mechanics Martingales does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Multiple Schramm-Loewner Evolutions and Statistical Mechanics Martingales, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multiple Schramm-Loewner Evolutions and Statistical Mechanics Martingales will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-685591