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Complex Generalized Integral Means Spectrum of Drifted Whole-Plane SLE and LLE.
- Source :
- Annales Henri Poincaré; Jan2024, Vol. 25 Issue 1, p425-479, 55p
- Publication Year :
- 2024
-
Abstract
- We present new exact results for the complex generalized integral means spectrum (in the sense of Duplantier et al. (Commun Math Phys 359(3):823–868, 2018)) for two kinds of whole-plane Loewner evolutions driven by a Lévy process: The case of a Lévy process with continuous trajectories, which corresponds to Schramm–Loewner evolution SLE κ with a drift term in the Brownian driving function. There is no known result for its standard integral means spectrum, and we show that a natural path to access it goes through the introduction of the complex generalized integral means spectrum, which is obtained via the so-called Liouville quantum gravity. The case of symmetric Lévy processes for which we generalize results by Loutsenko and Yermolayeva (J Phys A Math Theor 47(16):165202, 2014, J Phys A Math Theor 52(43):435202, 2019). [ABSTRACT FROM AUTHOR]
- Subjects :
- GENERALIZED integrals
LEVY processes
CONTINUOUS processing
MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 14240637
- Volume :
- 25
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Annales Henri Poincaré
- Publication Type :
- Academic Journal
- Accession number :
- 175234336
- Full Text :
- https://doi.org/10.1007/s00023-023-01300-6