Mixing
$T^n(x)in X$ for square-free values of $n$. is this set measurable?
$begingroup$
Let $T:X to X$ be a dynamical system. And $U subseteq X$ be a measurable set. Consider:
$$ {x in X : T^n(x)in Xtext{ for some square-free }n in mathbb{Z} }$$
is this set measurable?
number-theory measure-theory dynamical-systems
asked Jan 16 at 3:55
cactus314cactus314
15.5k42269
$endgroup$
add a comment |
$begingroup$
Let $T:X to X$ be a dynamical system. And $U subseteq X$ be a measurable set. Consider:
$$ {x in X : T^n(x)in Xtext{ for some square-free }n in mathbb{Z} }$$
is this set measurable?
number-theory measure-theory dynamical-systems
asked Jan 16 at 3:55
cactus314cactus314
15.5k42269
$endgroup$
1
$begingroup$
Is $T$ measurable? Is $cup_{ n in S} (T^n)^{-1}(X)$ measurable?
$endgroup$
– copper.hat
Jan 16 at 4:03
add a comment |
$begingroup$
Let $T:X to X$ be a dynamical system. And $U subseteq X$ be a measurable set. Consider:
$$ {x in X : T^n(x)in Xtext{ for some square-free }n in mathbb{Z} }$$
is this set measurable?
number-theory measure-theory dynamical-systems
asked Jan 16 at 3:55
cactus314cactus314
15.5k42269
$endgroup$
Let $T:X to X$ be a dynamical system. And $U subseteq X$ be a measurable set. Consider:
$$ {x in X : T^n(x)in Xtext{ for some square-free }n in mathbb{Z} }$$
is this set measurable?
number-theory measure-theory dynamical-systems
number-theory measure-theory dynamical-systems
asked Jan 16 at 3:55
cactus314cactus314
15.5k42269
asked Jan 16 at 3:55
cactus314cactus314
15.5k42269
asked Jan 16 at 3:55
cactus314cactus314
15.5k42269
asked Jan 16 at 3:55
cactus314cactus314
15.5k42269
asked Jan 16 at 3:55
cactus314cactus314
15.5k42269
15.5k42269
1
$begingroup$
Is $T$ measurable? Is $cup_{ n in S} (T^n)^{-1}(X)$ measurable?
$endgroup$
– copper.hat
Jan 16 at 4:03
add a comment |
1
$begingroup$
Is $T$ measurable? Is $cup_{ n in S} (T^n)^{-1}(X)$ measurable?
$endgroup$
– copper.hat
Jan 16 at 4:03
1
1
$begingroup$
Is $T$ measurable? Is $cup_{ n in S} (T^n)^{-1}(X)$ measurable?
$endgroup$
– copper.hat
Jan 16 at 4:03
$begingroup$
Is $T$ measurable? Is $cup_{ n in S} (T^n)^{-1}(X)$ measurable?
$endgroup$
– copper.hat
Jan 16 at 4:03
add a comment |
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$begingroup$
Is $T$ measurable? Is $cup_{ n in S} (T^n)^{-1}(X)$ measurable?
$endgroup$
– copper.hat
Jan 16 at 4:03