Conformal invariance of boundary touching loops of FK Ising model
1 hour 6 mins,
968.48 MB,
MPEG-4 Video
640x360,
29.97 fps,
44100 Hz,
1.95 Mbits/sec
Share this media item:
Embed this media item:
Embed this media item:
About this item
Description: |
Kemppainen, A (University of Helsinki)
Tuesday 27 January 2015, 15:00-16:00 |
---|
Created: | 2015-02-02 12:36 |
---|---|
Collection: | Random Geometry |
Publisher: | Isaac Newton Institute |
Copyright: | Kemppainen, A |
Language: | eng (English) |
Distribution: | World (downloadable) |
Explicit content: | No |
Aspect Ratio: | 16:9 |
Screencast: | No |
Bumper: | UCS Default |
Trailer: | UCS Default |
Abstract: | Co-author: Stanislav Smirnov (University of Geneva and St. Petersburg State University)
I will present a result showing the full conformal invariance of Fortuin-Kasteleyn representation of Ising model (FK Ising model) at criticality. The collection of all the interfaces, which in a planar model are closed loops, in the FK Ising model at criticality defined on a lattice approximation of a planar domain is shown to converge to a conformally invariant scaling limit as the mesh size is decreased. More specifically, the scaling limit can be described using a branching SLE(?,?-6) with ?=16/3, a variant of Oded Schramm's SLE curves. We consider the exploration tree of the loop collection and the main step of the proof is to find a discrete holomorphic observable which is a martingale for the branch of the exploration tree. This is a joint work with Stanislav Smirnov (University of Geneva and St. Petersburg State University) |
---|
Available Formats
Format | Quality | Bitrate | Size | |||
---|---|---|---|---|---|---|
MPEG-4 Video * | 640x360 | 1.95 Mbits/sec | 968.48 MB | View | Download | |
WebM | 640x360 | 575.89 kbits/sec | 278.39 MB | View | Download | |
iPod Video | 480x270 | 526.61 kbits/sec | 254.57 MB | View | Download | |
MP3 | 44100 Hz | 252.12 kbits/sec | 121.88 MB | Listen | Download | |
Auto | (Allows browser to choose a format it supports) |