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Boundary degeneration under a mapping-out function
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Probability and statistics
Probability theory
Stochastic process
Schramm–Loewner evolution
Compact H-hull
Mapping-out function of a compact H-hull
2026-09-28
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If
z
n
∈
H
∖
A
approaches
a
point of
a
compact H-hull
A
, then
Im
g
A
(
z
n
)
⟶
0.
(1)
The
real part
need not converge: the two sides of
a
vertical slit have distinct real boundary values under its mapping-out
function
.
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(9)
Mapping-out function of a compact H-hull
Compact H-hull
Schramm–Loewner evolution
Stochastic process
Probability theory
Probability and statistics
Area of mathematics
Mathematics
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(1)
Past exam of the mathematics course of the University of Cambridge
/
2017
/
iii
/
Paper 203
/
1
/
b
/
Solution
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