If $T:[0,1] rightarrow [0,1]$ preserves Lebesgue, then $liminf_n(n|T^n(x)-x|) leq 1$ [closed]
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Let $T:[0,1] rightarrow [0,1]$ be a measurable function such that $T$ preserves Lebesgue, then for almost all point:
$$liminf_n(n|T^n(x)-x|) leq 1$$
measure-theory lebesgue-measure ergodic-theory
closed as off-topic by user99914, zhoraster, Jendrik Stelzner, heropup, Xander Henderson Sep 7 at 1:04
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." â Community, zhoraster, Jendrik Stelzner, heropup, Xander Henderson
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up vote
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Let $T:[0,1] rightarrow [0,1]$ be a measurable function such that $T$ preserves Lebesgue, then for almost all point:
$$liminf_n(n|T^n(x)-x|) leq 1$$
measure-theory lebesgue-measure ergodic-theory
closed as off-topic by user99914, zhoraster, Jendrik Stelzner, heropup, Xander Henderson Sep 7 at 1:04
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." â Community, zhoraster, Jendrik Stelzner, heropup, Xander Henderson
why is the the $liminf $ at most 1?
â cactus314
Sep 6 at 11:45
add a comment |Â
up vote
3
down vote
favorite
up vote
3
down vote
favorite
Let $T:[0,1] rightarrow [0,1]$ be a measurable function such that $T$ preserves Lebesgue, then for almost all point:
$$liminf_n(n|T^n(x)-x|) leq 1$$
measure-theory lebesgue-measure ergodic-theory
Let $T:[0,1] rightarrow [0,1]$ be a measurable function such that $T$ preserves Lebesgue, then for almost all point:
$$liminf_n(n|T^n(x)-x|) leq 1$$
measure-theory lebesgue-measure ergodic-theory
measure-theory lebesgue-measure ergodic-theory
edited Sep 6 at 10:55
Jendrik Stelzner
7,69121137
7,69121137
asked Sep 6 at 2:45
Santiago Radi
312
312
closed as off-topic by user99914, zhoraster, Jendrik Stelzner, heropup, Xander Henderson Sep 7 at 1:04
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." â Community, zhoraster, Jendrik Stelzner, heropup, Xander Henderson
closed as off-topic by user99914, zhoraster, Jendrik Stelzner, heropup, Xander Henderson Sep 7 at 1:04
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." â Community, zhoraster, Jendrik Stelzner, heropup, Xander Henderson
why is the the $liminf $ at most 1?
â cactus314
Sep 6 at 11:45
add a comment |Â
why is the the $liminf $ at most 1?
â cactus314
Sep 6 at 11:45
why is the the $liminf $ at most 1?
â cactus314
Sep 6 at 11:45
why is the the $liminf $ at most 1?
â cactus314
Sep 6 at 11:45
add a comment |Â
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why is the the $liminf $ at most 1?
â cactus314
Sep 6 at 11:45