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Phase
transition for a family of complex-driven Loewner hulls
Joan Lind and Jeffrey Utley
Vol. 15 (2022), No. 3, 447–474
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Abstract |
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Building on H. Tran’s study of Loewner hulls generated by complex-valued driving functions, which showed the existence of a phase transition, we answer the question of whether the phase transition for complex-driven hulls matches the phase transition for real-driven hulls. This is accomplished through a detailed study of the Loewner hulls generated by driving functions and for and . This family also provides examples of new geometric behavior that is possible for complex-driven hulls but prohibited for real-driven hulls. |
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Keywords
Loewner evolution, Loewner hulls
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Mathematical Subject Classification
Primary: 30C35
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Milestones
Received: 29 June 2021
Revised: 8 November 2021
Accepted: 8 November 2021
Published: 2 December 2022
Communicated by Michael Dorff
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Authors |
| Joan Lind | |
| Department of Mathematics University of Tennessee Knoxville, TN United States |
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| Jeffrey Utley | |
| Department of Mathematics University of Tennessee Knoxville, TN United States |
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