- Abstract:
-
Simmons and Cardy recently predicted a formula for the probability that the chordal SLE(8/3) path passes to the left of two points in the upper half-plane. In this paper we give a rigorous proof of their formula. Starting from this result, we derive explicit expressions for several natural connectivity functions for SLE(8/3) bubbles conditioned to be of macroscopic size. By passing to a limit with such a bubble we construct a certain chordal restriction measure and in this way obtain a proof ...
Expand abstract - Publication status:
- Published
- Publisher copy:
- 10.1007/s00220-013-1710-5
-
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- Journal:
- COMMUNICATIONS IN MATHEMATICAL PHYSICS
- Volume:
- 320
- Issue:
- 2
- Pages:
- 379-394
- Publication date:
- 2010-12-23
- DOI:
- EISSN:
-
1432-0916
- ISSN:
-
0010-3616
- URN:
-
uuid:3f9bf17c-2968-44b4-a1cb-59fe230cc354
- Source identifiers:
-
190373
- Local pid:
- pubs:190373
- Copyright date:
- 2010
- Notes:
- Rewritten and expanded with several new results; 15 pages
Journal article
Some remarks on SLE bubbles and Schramm's two-point observable
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