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Complex Generalized Integral Means Spectrum of Drifted Whole-Plane SLE and LLE
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- 2022
We present new exact results for the complex generalized integral means spectrum (in the sense of [DHLZ18]) for two kinds of whole-plane Loewner evolutions driven by a Lévy process: (1) The case of a…
Large deviations of multichordal SLE$_{0+}$, real rational functions, and zeta-regularized determinants of Laplacians
- Mathematics
- 2020
We prove a strong large deviation principle (LDP) for multiple chordal SLE$_{0+}$ curves with respect to the Hausdorff metric. In the single chordal case, this result strengthens an earlier partial…
Topological characterisations of Loewner traces
- Mathematics
- 2020
The (chordal) Loewner differential equation encodes certain curves in the half-plane (aka traces) by continuous real-valued driving functions. Not all curves are traces; the latter can be defined via…
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