Manuscript I-B-VP@3 · I-B-VP-v3.tex · section · 93c04eb4

Supported transfer does not transfer a state

Supported transfer does not transfer a state · lines 2666–2688

For an angularly small chart

U \subset {r > r_{U}, φ \in I}, r_{U} > 0, ∣ I ∣ < π,

with a fixed lift, define

T_{arr} (x, x^{'}) = min ({ρ_{0}} \cup {R_{k} : k \neq = 0, ∣ ϑ - 2 π α k ∣ \leq π}) .

The supplied Friedrichs transfer theorem gives

T_{arr} (x, x^{'}) \geq L_{U} = 2 r_{U} sin (π α /2) > 0

CheungIBG (:window, :transfer).

Displayed formulas in this passage

unlabeled · line 2670
$U \subset {r > r_{U}, φ \in I}, r_{U} > 0, ∣ I ∣ < π,$
unlabeled · line 2674
$T_{arr} (x, x^{'}) = min ({ρ_{0}} \cup {R_{k} : k \neq = 0, ∣ ϑ - 2 π α k ∣ \leq π}) .$
unlabeled · line 2682
$T_{arr} (x, x^{'}) \geq L_{U} = 2 r_{U} sin (π α /2) > 0$