eldorado.tu-dortmund.de/server/api/core/bitstreams/80934ce0-e93c-4d85-b857-80ab089c4144/content
¯ S
1 ζ ¯ + S −K1 , K1
1−ζ ¯
< S ≤ K2 1−ζ
¯ α̃ ¯
(S −K2) +K2 −K1 , K2 1−ζ
¯
< S ≤ K2
1−ζ̄
max(˜̄αS 1 ζ̄ +K2, S)−K1 , K2
1−ζ̄ < S ≤ K2
K2 −K1 , S > K2
,
α ¯
:= −ζ ¯
( 1−ζ
¯K1
) 1−ζ ¯ζ
¯ , α̃ ¯
:= 1− ( K2 [...] E [ C ∣∣∣Γ(τ1, X
π(1)
t,x (τ1), π(1)(τ1), ζ1)− Γ(τ1, X π(1)
t,y (τ1), π(1)(τ1), ζ1) ∣∣∣k]
≤ E [ C ′ ∣∣∣Xπ(1)
t,x (τ1)−Xπ(1)
t,y (τ1) ∣∣∣k]
≤ C ′′|x− y|k,
where C,C ′, C ′′ > 0 are constants and we have [...] ξ′∈Vn−1
J (π̂′,ξ′)(τ1, x̂ ′)
]
≥ inf τ1∈T
ζ1∈Z∪{ζ0}
Et,x
[ Y π̂(n),(τ1;ζ1) + sup
π′∈Un−1
inf ξ′∈Vn−1
J (π′,ξ′)(τ1, x̂ ′)
] − ε
2
≥ inf τ1∈T
ζ1∈Z∪{ζ0}
sup π(n)∈U0
Et,x [ Y π(n),(τ1;ζ1) + v(n−1)(τ1, x
′) …
