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Các bài báo tiêu biểu
Ergodic properties of certain surjective cellular automata
Tập 114 - Trang 305-316 - 1992
We consider one-dimensional cellular automata, i.e. the mapsT:P
ℤ
→P
ℤ
(P is a finite set with more than one element) which are given by (Tx)
i
=F(x
i+l
, ...,x
i+r
),x=(x
i
)∈ℤ∈P
ℤ
for some integersl≤r and a mappingF∶P
r−l+1→P. We prove that ifF is right- (left-) permutative (in Hedlund's terminology) and 0≤l0 andT is surjective, then the natural extension of the system (P
ℤ
, ℬ, μ,T) is aK-automorphism. We also prove that the shift ℤ2-action on a two-dimensional subshift of finite type canonically associated with the cellular automatonT is mixing, ifF is both right and left permutative. These results answer some questions raised in [SR].
Correction to: Expansive actions of automorphisms of locally compact groups $$\varvec{G}$$ on Sub $$_{\varvec{G}}$$
Tập 202 - Trang 655-657 - 2023
Physikalische Plaudereien für 10–14jährige Schüler aller Schulgattungen
Tập 27 - Trang A13-A14 - 1916
Zyklographische Betrachtung der Kinematik der speziellen Relativitätstheorie
Tập 52 - Trang 337-353 - 1948