Geodesic
Driving function of the vertical slit
Filomat, Tome 36 (2022) no. 9, p. 2961

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DOI

We consider the chordal Loewner equation and construct a family of vertical slits γ p (p > 0). We give the exact expression of its driving function λ, and its H ¨ older exponent near 0 in terms of p, which maps onto (1/2, ∞) and has a natural connection with the known results. In addition, we extend the asymptotic behavior of the driving function λ to a general case.
DOI : 10.2298/FIL2209961W
Classification : 30C30, 30C45
Keywords: Loewner equation, Hull, Half-plane capacity, Driving function, Trace 
Hai-Hua Wu. Driving function of the vertical slit. Filomat, Tome 36 (2022) no. 9, p. 2961 . doi: 10.2298/FIL2209961W
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     title = {Driving function of the vertical slit},
     journal = {Filomat},
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     doi = {10.2298/FIL2209961W},
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     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2209961W/}
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