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Difference between revisions of "User:Boris Tsirelson/sandbox1"

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, or treat a Lebesgue space as the completion of a standard probability space {{Cite|A}}.
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<ref> [http://hea-www.harvard.edu/AstroStat http://hea-www.harvard.edu/AstroStat]; <nowiki> http://www.incagroup.org </nowiki>; <nowiki> http://astrostatistics.psu.edu </nowiki> </ref>
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====Notes====
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<references />
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-------------------------------------------
  
====References====
 
  
 
{|
 
{|
|valign="top"|{{Ref|Mac}}||    George W. Mackey,  "Borel  structure in groups and their duals",    ''Trans. ''  '''85''' (1957), 134–165. &nbsp;    {{MR|0089999}} &nbsp;    {{ZBL|0082.11201}}
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| A || B || C
|-
 
|valign="top"|{{Ref|A}}|| Jon Aaronson, "An introduction to infinite ergodic theory", AMS (1997). &nbsp; {{MR|1450400}}  &nbsp;  {{ZBL|0882.28013}}
 
 
|-
 
|-
|valign="top"|{{Ref|Mal}}||Paul    Malliavin, "Integration and  probability", Springer-Verlag (1995).    &nbsp; {{MR|1335234}}  &nbsp;  {{ZBL|0874.28001}}
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| X || Y || Z
 
|}
 
|}
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-----------------------------------------
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-----------------------------------------
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$\newcommand*{\longhookrightarrow}{\lhook\joinrel\relbar\joinrel\rightarrow}$
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<asy>
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size(100,100);
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label(scale(1.7)*'$T(\\Sigma)\hookrightarrow T(\\Sigma,X)$',(0,0));
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</asy>
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<asy>
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size(220,220);
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import math;
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int kmax=40;
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guide g;
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for (int k=-kmax; k<=kmax; ++k) {
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  real phi = 0.2*k*pi;
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  real rho = 1;
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  if (k!=0) {
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    rho = sin(phi)/phi;
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  }
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  pair z=rho*expi(phi);
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  g=g..z;
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}
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draw (g);
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defaultpen(0.75);
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draw ( (0,0)--(1.3,0), dotted, Arrow(SimpleHead,5) );
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dot ( (1,0) );
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label ( "$a$", (1,0), NE );
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</asy>

Latest revision as of 07:12, 13 March 2016

[1]

Notes

  1. http://hea-www.harvard.edu/AstroStat; http://www.incagroup.org ; http://astrostatistics.psu.edu


A B C
X Y Z




$\newcommand*{\longhookrightarrow}{\lhook\joinrel\relbar\joinrel\rightarrow}$

How to Cite This Entry:
Boris Tsirelson/sandbox1. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Boris_Tsirelson/sandbox1&oldid=24673