Global properties of stochastic Loewner evolution driven by Lévy processes

Journal of Statistical Mechanics: Theory and Experiment

Volumn 2008, Issue 1, 2008, Pages

  Oikonomou, P ^a   Rushkin, I ^a   Gruzberg, I A ^a   Kadanoff, L P ^a  

^a UNIVERSITY OF CHICAGO   (United States)

Author keywords

Fractal growth (theory); Stochastic processes (theory)

Indexed keywords

EID: 38949185090     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2008/01/P01019     Document Type: Article

References (24)

1. Rushkin I, Oikonomou P, Kadanoff L P and Gruzberg I A 2006 J. Stat. Mech. P01001 [cond-mat/0509187]
2. Schramm O 2000 Isr. J. Math. 118 221 [math.PR/9904022]
3. Lawler G F 2005 Conformally invariant processes in the plane Mathematical Surveys and Monographs vol 114 (Providence, RI: American Mathematical Society)
4. Werner W 2004 Random planar curves and Schramm-Loewner evolutions Springer Lecture Notes in Mathematics vol 1840 (Berlin: Springer) [math.PR/0303354]
5. Schramm O 2007 Conformally invariant scaling limits: an overview and a collection of problems Proc. International Congress of Mathematicians (Madrid, 2006) vol I (Zürich: European Mathematical Society) pp513-43 [math.PR/0602151]
6. Bauer M and Bernard D 2006 Phys. Rep. 432 115 [math-ph/0602049]
7. Cardy J 2005 Ann. Phys., NY 318 81 [cond-mat/0503313]
8. Gruzberg I A 2006 J. Phys. A: Math. Gen. 39 12601 [math-ph/0607046]
9. Gruzberg I A and Kadanoff L P 2004 J. Stat. Phys. 114 1183 [cond-mat/0309292]
10. Kager W and Nienhuis B 2004 J. Stat. Phys. 115 1149 [math-ph/0312056]
11. Guan Q and Winkel M 2006 Preprint math.PR/0606685
12. Guan Q 2007 Preprint 0705.2321 [math.PR]
13. Chen Z-Q and Rohde S 2007 Preprint 0708.1805v2 [math.PR]
14. Beliaev D and Smirnov S 2008 Harmonic measure and SLE Preprint 0801.1792v1 [math.CV]
15. Duplantier B 2000 Phys. Rev. Lett. 84 1363 [cond-mat/9908314]
16. Duplantier B 2004 Fractal Geometry and Applications: a Jubilee of Benot Mandelbrot. Part 2: Multifractals, Probability and Statistical Mechanics, Applications. Proc. Special Session of the Annual Meeting of the American Mathematical Society (San Diego, CA, January 2002) (Proc. Symp. Pure Math. 72) ed M L Lapidus and M van Frankenhuijsen (Providence, RI: American Mathematical Society) p365 [math-ph/0303034]
17. Bettelheim E, Rushkin I, Gruzberg I A and Wiegmann P 2005 Phys. Rev. Lett. 95 170602 [hep-th/0507115]
18. Rushkin I, Bettelheim E, Gruzberg I A and Wiegmann P 2007 J. Phys. A: Math. Theor. 40 2165 [cond-mat/0610550]
19. Rohde S and Schramm O 2005 Ann. Math. 161(2) 883 [math.PR/0106036]
20. Appelbaum D 2004 Lévy Processes and Stochastic Calculus (Cambridge: Cambridge University Press)
21. Metzler R and Klafter J 2000 Phys. Rep. 339 1
22. Samorodnitsky G and Taqqu MS 1994 Stable Non-Gaussian Random Processes: Stochastic Models with Infinite Variance (London: Chapman and Hall)
23. Sato K 1999 Lévy Processes and Infinitely Divisible Distributions (Cambridge: Cambridge University Press)
24. Hastings M B 2002 Phys. Rev. Lett. 88 055506 [cond-mat/9607021]