Generalized integral means spectrum of SLE
Xuan Ho (IMB)
TL;DR
This paper extends the known results on the average generalized integral means spectrum of whole-plane SLE, improving the domain of validity and analyzing the spectrum of related transforms.
Contribution
It broadens the validity domain of the conjecture on the spectrum and enhances previous results on the spectrum of the m-fold transform of SLE maps.
Findings
Extended the validity domain of the spectrum conjecture.
Improved results on the spectrum of the m-fold transform.
Extended the parameter interval for the interior SLE spectrum.
Abstract
We extend the validity domain of the conjecture about the average generalized integral means spectrum of whole-plane SLE introduced in [7, 8]. Thence we improve the results obtained in [7, 8] on the average generalized integral means spectrum of the m-fold transform associated to the wholeplane SLE map. An extension to a new interval of parameter for the usual average integral means spectrum of the interior whole-plane SLE is also given.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Functional Equations Stability Results · Advanced Differential Equations and Dynamical Systems