Journal article
An asymptotic radius of convergence for the Loewner equation and simulation of SLEκ traces via splitting
- Abstract:
- In this paper, we study the convergence of Taylor approximations for the backward SLE maps near the origin. In addition, this result highlights the limitations of using stochastic Taylor methods for approximating SLEκ traces. Due to the analytically tractable vector fields of the Loewner equation, we will show the Ninomiya–Victoir splitting is particularly well suited for SLE simulation. We believe that this is the first high order numerical method that has been successfully applied to SLEκ.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Access Document
- Files:
-
-
(Preview, Accepted manuscript, pdf, 550.9KB, Terms of use)
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- Publisher copy:
- 10.1007/s10955-022-02979-3
Authors
- Publisher:
- Springer
- Journal:
- Journal of Statistical Physics More from this journal
- Volume:
- 189
- Article number:
- 18
- Publication date:
- 2022-09-03
- Acceptance date:
- 2022-08-05
- DOI:
- EISSN:
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1572-9613
- ISSN:
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0022-4715
- Language:
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English
- Keywords:
- Pubs id:
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1279816
- Local pid:
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pubs:1279816
- Deposit date:
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2022-11-15
Terms of use
- Copyright holder:
- Foster et al.
- Copyright date:
- 2022
- Rights statement:
- Copyright © 2022, The Author(s), under exclusive licence to Springer Science Business Media, LLC, part of Springer Nature
- Notes:
- This is the accepted manuscript version of the article. The final version is available from Springer at https://doi.org/10.1007/s10955-022-02979-3
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