Von Neumann's ergodic theorem
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Where can I find the proof of Von Neumann's ergodic theorem? Please, give me references or write names of books where I can find it.
reference-request dynamical-systems ergodic-theory
asked Jan 24 '13 at 1:09
unknownunknown
528312
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add a comment |
$begingroup$
Where can I find the proof of Von Neumann's ergodic theorem? Please, give me references or write names of books where I can find it.
reference-request dynamical-systems ergodic-theory
asked Jan 24 '13 at 1:09
unknownunknown
528312
$endgroup$
add a comment |
$begingroup$
Where can I find the proof of Von Neumann's ergodic theorem? Please, give me references or write names of books where I can find it.
reference-request dynamical-systems ergodic-theory
asked Jan 24 '13 at 1:09
unknownunknown
528312
$endgroup$
Where can I find the proof of Von Neumann's ergodic theorem? Please, give me references or write names of books where I can find it.
reference-request dynamical-systems ergodic-theory
reference-request dynamical-systems ergodic-theory
asked Jan 24 '13 at 1:09
unknownunknown
528312
asked Jan 24 '13 at 1:09
unknownunknown
528312
edited Oct 10 '13 at 20:25
user59083
asked Jan 24 '13 at 1:09
unknownunknown
528312
asked Jan 24 '13 at 1:09
unknownunknown
528312
asked Jan 24 '13 at 1:09
unknownunknown
528312
528312
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add a comment |
3 Answers
3
active
oldest
votes
$begingroup$
The original proof (pdf) is in
J. von Neumann, "Proof of the quasi-ergodic hypothesis" Proc. Nat. Acad. Sci. USA , 18 (1932) pp. 70–82
A simpler proof is due to Halmos, found in
P.R. Halmos, "Lectures on ergodic theory" , Math. Soc. Japan (1956)
I believe this book is a reprinting of those lectures.
answered Jan 24 '13 at 1:15
Jonathan ChristensenJonathan Christensen
3,630921
$endgroup$
4
$begingroup$
An alternative name for the same result is the mean ergodic theorem and there's a proof in almost every book on ergodic theory. Terry Tao has a blog post on it.
$endgroup$
– Martin
Jan 24 '13 at 1:25
$begingroup$
Due to riesz but it is mentiond in Halmos's lectures.
$endgroup$
– Neil hawking
Jan 2 at 20:16
add a comment |
$begingroup$
If you want more modern books I recommend P. Walters or K. Petersen books on Ergodic Theory.
answered Jun 12 '13 at 17:40
RobRob
411
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add a comment |
$begingroup$
Einsiedler. Ward. Ergodic Theory with a view towards Number Theory. P. 32.
Petersen. Ergodic Theory. P. 23.
Brin. Sturk. An Introduction to Dynamical Systems. P. 80.
Krengel. Ergodic Theorems. P. 4.
Halmos. Lectures on Ergodic Theory. P. 16.
Coudene. Ergodic Theory and Dynamical Systems. P. 4.
Eisner. Farkas. Haase. Nagel. Operator Theoretic Aspects of Ergodic Theory. P. 139.
answered Dec 31 '18 at 4:52
Neil hawkingNeil hawking
49619
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add a comment |
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3 Answers
3
active
oldest
votes
3 Answers
3
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
The original proof (pdf) is in
J. von Neumann, "Proof of the quasi-ergodic hypothesis" Proc. Nat. Acad. Sci. USA , 18 (1932) pp. 70–82
A simpler proof is due to Halmos, found in
P.R. Halmos, "Lectures on ergodic theory" , Math. Soc. Japan (1956)
I believe this book is a reprinting of those lectures.
answered Jan 24 '13 at 1:15
Jonathan ChristensenJonathan Christensen
3,630921
$endgroup$
4
$begingroup$
An alternative name for the same result is the mean ergodic theorem and there's a proof in almost every book on ergodic theory. Terry Tao has a blog post on it.
$endgroup$
– Martin
Jan 24 '13 at 1:25
$begingroup$
Due to riesz but it is mentiond in Halmos's lectures.
$endgroup$
– Neil hawking
Jan 2 at 20:16
add a comment |
$begingroup$
The original proof (pdf) is in
J. von Neumann, "Proof of the quasi-ergodic hypothesis" Proc. Nat. Acad. Sci. USA , 18 (1932) pp. 70–82
A simpler proof is due to Halmos, found in
P.R. Halmos, "Lectures on ergodic theory" , Math. Soc. Japan (1956)
I believe this book is a reprinting of those lectures.
answered Jan 24 '13 at 1:15
Jonathan ChristensenJonathan Christensen
3,630921
$endgroup$
4
$begingroup$
An alternative name for the same result is the mean ergodic theorem and there's a proof in almost every book on ergodic theory. Terry Tao has a blog post on it.
$endgroup$
– Martin
Jan 24 '13 at 1:25
$begingroup$
Due to riesz but it is mentiond in Halmos's lectures.
$endgroup$
– Neil hawking
Jan 2 at 20:16
add a comment |
$begingroup$
The original proof (pdf) is in
J. von Neumann, "Proof of the quasi-ergodic hypothesis" Proc. Nat. Acad. Sci. USA , 18 (1932) pp. 70–82
A simpler proof is due to Halmos, found in
P.R. Halmos, "Lectures on ergodic theory" , Math. Soc. Japan (1956)
I believe this book is a reprinting of those lectures.
answered Jan 24 '13 at 1:15
Jonathan ChristensenJonathan Christensen
3,630921
$endgroup$
The original proof (pdf) is in
J. von Neumann, "Proof of the quasi-ergodic hypothesis" Proc. Nat. Acad. Sci. USA , 18 (1932) pp. 70–82
A simpler proof is due to Halmos, found in
P.R. Halmos, "Lectures on ergodic theory" , Math. Soc. Japan (1956)
I believe this book is a reprinting of those lectures.
answered Jan 24 '13 at 1:15
Jonathan ChristensenJonathan Christensen
3,630921
answered Jan 24 '13 at 1:15
Jonathan ChristensenJonathan Christensen
3,630921
answered Jan 24 '13 at 1:15
Jonathan ChristensenJonathan Christensen
3,630921
answered Jan 24 '13 at 1:15
Jonathan ChristensenJonathan Christensen
3,630921
3,630921
4
$begingroup$
An alternative name for the same result is the mean ergodic theorem and there's a proof in almost every book on ergodic theory. Terry Tao has a blog post on it.
$endgroup$
– Martin
Jan 24 '13 at 1:25
$begingroup$
Due to riesz but it is mentiond in Halmos's lectures.
$endgroup$
– Neil hawking
Jan 2 at 20:16
add a comment |
4
$begingroup$
An alternative name for the same result is the mean ergodic theorem and there's a proof in almost every book on ergodic theory. Terry Tao has a blog post on it.
$endgroup$
– Martin
Jan 24 '13 at 1:25
$begingroup$
Due to riesz but it is mentiond in Halmos's lectures.
$endgroup$
– Neil hawking
Jan 2 at 20:16
4
4
$begingroup$
An alternative name for the same result is the mean ergodic theorem and there's a proof in almost every book on ergodic theory. Terry Tao has a blog post on it.
$endgroup$
– Martin
Jan 24 '13 at 1:25
$begingroup$
An alternative name for the same result is the mean ergodic theorem and there's a proof in almost every book on ergodic theory. Terry Tao has a blog post on it.
$endgroup$
– Martin
Jan 24 '13 at 1:25
$begingroup$
Due to riesz but it is mentiond in Halmos's lectures.
$endgroup$
– Neil hawking
Jan 2 at 20:16
$begingroup$
Due to riesz but it is mentiond in Halmos's lectures.
$endgroup$
– Neil hawking
Jan 2 at 20:16
add a comment |
$begingroup$
If you want more modern books I recommend P. Walters or K. Petersen books on Ergodic Theory.
answered Jun 12 '13 at 17:40
RobRob
411
$endgroup$
add a comment |
$begingroup$
If you want more modern books I recommend P. Walters or K. Petersen books on Ergodic Theory.
answered Jun 12 '13 at 17:40
RobRob
411
$endgroup$
add a comment |
$begingroup$
If you want more modern books I recommend P. Walters or K. Petersen books on Ergodic Theory.
answered Jun 12 '13 at 17:40
RobRob
411
$endgroup$
If you want more modern books I recommend P. Walters or K. Petersen books on Ergodic Theory.
answered Jun 12 '13 at 17:40
RobRob
411
answered Jun 12 '13 at 17:40
RobRob
411
answered Jun 12 '13 at 17:40
RobRob
411
answered Jun 12 '13 at 17:40
RobRob
411
411
add a comment |
add a comment |
$begingroup$
Einsiedler. Ward. Ergodic Theory with a view towards Number Theory. P. 32.
Petersen. Ergodic Theory. P. 23.
Brin. Sturk. An Introduction to Dynamical Systems. P. 80.
Krengel. Ergodic Theorems. P. 4.
Halmos. Lectures on Ergodic Theory. P. 16.
Coudene. Ergodic Theory and Dynamical Systems. P. 4.
Eisner. Farkas. Haase. Nagel. Operator Theoretic Aspects of Ergodic Theory. P. 139.
answered Dec 31 '18 at 4:52
Neil hawkingNeil hawking
49619
$endgroup$
add a comment |
$begingroup$
Einsiedler. Ward. Ergodic Theory with a view towards Number Theory. P. 32.
Petersen. Ergodic Theory. P. 23.
Brin. Sturk. An Introduction to Dynamical Systems. P. 80.
Krengel. Ergodic Theorems. P. 4.
Halmos. Lectures on Ergodic Theory. P. 16.
Coudene. Ergodic Theory and Dynamical Systems. P. 4.
Eisner. Farkas. Haase. Nagel. Operator Theoretic Aspects of Ergodic Theory. P. 139.
answered Dec 31 '18 at 4:52
Neil hawkingNeil hawking
49619
$endgroup$
add a comment |
$begingroup$
Einsiedler. Ward. Ergodic Theory with a view towards Number Theory. P. 32.
Petersen. Ergodic Theory. P. 23.
Brin. Sturk. An Introduction to Dynamical Systems. P. 80.
Krengel. Ergodic Theorems. P. 4.
Halmos. Lectures on Ergodic Theory. P. 16.
Coudene. Ergodic Theory and Dynamical Systems. P. 4.
Eisner. Farkas. Haase. Nagel. Operator Theoretic Aspects of Ergodic Theory. P. 139.
answered Dec 31 '18 at 4:52
Neil hawkingNeil hawking
49619
$endgroup$
Einsiedler. Ward. Ergodic Theory with a view towards Number Theory. P. 32.
Petersen. Ergodic Theory. P. 23.
Brin. Sturk. An Introduction to Dynamical Systems. P. 80.
Krengel. Ergodic Theorems. P. 4.
Halmos. Lectures on Ergodic Theory. P. 16.
Coudene. Ergodic Theory and Dynamical Systems. P. 4.
Eisner. Farkas. Haase. Nagel. Operator Theoretic Aspects of Ergodic Theory. P. 139.
answered Dec 31 '18 at 4:52
Neil hawkingNeil hawking
49619
answered Dec 31 '18 at 4:52
Neil hawkingNeil hawking
49619
answered Dec 31 '18 at 4:52
Neil hawkingNeil hawking
49619
answered Dec 31 '18 at 4:52
Neil hawkingNeil hawking
49619
49619
add a comment |
add a comment |
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