View source for User:Boris Tsirelson

My [http://www.tau.ac.il/~tsirel/ homepage] at School of Mathematics, Tel Aviv University.

My [http://en.wikipedia.org/wiki/User:Tsirel user page] on Wikipedia.

My research interests are in [[:Category:Probability theory and stochastic processes|probability]].

==My contributions==

[[Measurable space]] (22,000+ views);
[[Standard Borel space]] (6000+ views);
[[Analytic Borel space]] (2000+ views);
[[Universally measurable]] (3000+ views);
[[Measure space]] (8000+ views);
[[Standard probability space]] (2000+ views);
[[Measure algebra (measure theory)]] (3000+ views).

===Wanted===

[[Random matrix]]
+ [[SLE]]
+ [[Gaussian measure]]

And maybe:
[[Borel equivalence relation]] (see [http://en.wikipedia.org/wiki/Talk:Borel_equivalence_relation WP])

===Require revision===

[[Bell inequalities]]
+ [[Probability of large deviations]]

==Some statistics==

We have 1680+ articles viewed 1680+ times each. [http://www.encyclopediaofmath.org/index.php/Special:PopularPages?limit=21&offset=1679]

History: Dec 2011: 40×40; Jan 2012: 60×60; Feb 2012: 90×90; Mar 2012: 140×140; Apr 2012: 200×200; May 2012: 250×250; Jun 2012: 320×320; Jul 2012: 370×370; Aug 2012: 410×410; Sep 2012: 460×460; Oct 2012: 520×520; Nov 2012: 590×590; Dec 2012: 650×650; Jan 2013: 710×710; Feb 2013: 760×760; Mar 2013: 820×820; Apr 2013: 890×890; May 2013: 940×940; Jun 2013: 990×990; Jul 2013: 1040×1040; Aug 2013: 1080×1080; Sep 2013: 1130×1130; Oct 2013: 1170×1170; Nov 2013: 1220×1220; Dec 2013: 1260×1260; Jan 2014: 1300×1300; Feb 2014: 1330×1330; Mar 2014: 1380×1380; Apr 2014: 1420×1420; May 2014: 1480×1480; Jun 2014: 1520×1520; Jul 2014: 1600×1600; Aug 2014: 1640×1640.

<DynamicArticleList>
  title=New articles
 count=10
 categoryRoot=Mathematics
</DynamicArticleList>

<DynamicArticleList>
  title=Recently updated
  type=update
 count=10
 categoryRoot=Mathematics
</DynamicArticleList>

<DynamicArticleList>
  title=Recently discussed
  type=discussion
 count=10
 categoryRoot=Mathematics
</DynamicArticleList>

<DynamicArticleList>
  title=Most popular
  type=hot
  count=10
 categoryRoot=Mathematics
</DynamicArticleList>

==Notes to myself==
===Internal links===
[[Talk:EoM:This project]]
+ [[Help:MSC Templates]]
+ [[User:Ulf Rehmann/Predefined TeX Macros]]
+ [[User talk:Ulf Rehmann]]
+ [[User talk:Nbrothers]]
+ [[Encyclopedia of Mathematics:Administrators]]
+ [http://www.encyclopediaofmath.org/index.php?title=Special%3APrefixIndex&prefix=&namespace=12 all help pages]

[[Special:PopularPages|Popular pages]]
+ [[Special:Statistics|Statistics]]
+ [[Special:Version|Version]]

[[Special:NewPages|New pages]]
+ [[Special:Log/newusers|New users]]
+ [[Special:Categories|Categories]]
+ [[Special:WantedCategories|Wanted categories]]
+ [[:Category:Deficient]]
+ [http://www.encyclopediaofmath.org/index.php?title=Special%3AAllPages&from=&to=&namespace=10 Templates]

===Maybe need more attention===
* [[Cullinane diamond theorem]] (refs format)
* [[Genetic Algorithms]] (title capitalization; refs format)
* [[Modulus in algebraic number theory]] + [[Continuant]] + [[ABC conjecture]] (refs format)
* [[Lindenbaum method]] (refs format)
* [[Arithmetization of analysis]] (formulas format;  refs format)

===External links===
[http://msc2010.org/mscwiki/index.php?title=Main_Page MSC wiki]
+ [http://www.mediawiki.org/wiki/Extension:QuestyCaptcha QuestyCaptcha]
+ [http://en.wikipedia.org/wiki/Wikipedia:WikiProject_Spam WikiProject Spam]
+ [http://en.wikipedia.org/wiki/User:XLinkBot WP:XLinkBot]
+ [http://www.communitywiki.org/WikiSpam WikiSpam]
+ [http://asymptote.sourceforge.net/ Asymptote]

[http://ncatlab.org/nlab/show/HomePage nLab]
+ [http://texnicalstuff.blogspot.co.il/p/table-of-contents.html TeX-nical Stuff]

[http://ref.subwiki.org/wiki/Main_Page Subject Wikis]

[https://meta.wikimedia.org/wiki/Grants:IdeaLab/PlanetMath_Books_Project PlanetMath Books Project]

===Probability (and related) articles===
[[Absorbing state]]
+ [[Approximation by periodic transformations]]
+ [[Arcsine distribution]]
+ [[Asymptotic negligibility]]
+ [[Attraction domain of a stable distribution]]

[[Baire set]]
+ [[Bellman–Harris process]]
+ [[Bernoulli theorem]]
+ [[Bernoulli trials]]
+ [[Binomial distribution]]
+ [[Birkhoff ergodic theorem]]
+ [[Borel measure]]
+ [[Borel space]]
+ [[Borel strong law of large numbers]]
+ [[Borel–Cantelli lemma]]
+ [[Branching process]]
+ [[Branching process, age-dependent]]
+ [[Branching process with a random medium]]
+ [[Branching process with immigration]]
+ [[Branching processes, regularity of]]
+ [[Brownian motion]]

[[Cauchy distribution]]
+ [[Central limit theorem]]
+ [[Characteristic function]]
+ [[Chebyshev inequality in probability theory]]
+ [[Continuous distribution]]
+ [[Continuous flow]]
+ [[Convergence, types of]]
+ [[Convergence in distribution]]
+ [[Convergence in probability]]
+ [[Convergence of measures]]
+ [[Cramér theorem]]
+ [[Cramér–von Mises test]]

[[Diffusion process]]
+ [[Discrete distribution]]
+ [[Dispersion]]
+ [[Distribution function]]
+ [[Distributions, convergence of]]
+ [[Dynamical system]]

[[Edgeworth series]]
+ [[Elementary flow]]
+ [[Entropy theory of a dynamical system]]
+ [[Ergodic theorem]]
+ [[Ergodic theory]]
+ [[Ergodicity]]
+ [[Exponential distribution]]

[[Feller process]]
+ [[Flow (continuous-time dynamical system)]]
+ [[Functional of a Markov process]]

[[Galton–Watson process]]
+ [[Gaussian process]]
+ [[Geometric distribution]]
+ [[Gram–Charlier series]]

[[Infinitely-divisible distribution]]

[[Kolmogorov equation]]
+ [[Kolmogorov test]]
+ [[Kolmogorov–Chapman equation]]
+ [[Kolmogorov–Smirnov test]]

[[Laplace theorem]]
+ [[Law of large numbers]]
+ [[Law of the iterated logarithm]]
+ [[Lebesgue integral]]
+ [[Limit theorems]]
+ [[Lévy canonical representation]]
+ [[Lévy metric]]

[[Markov chain]]
+ [[Markov chain, class of zero states of a]]
+ [[Markov chain, decomposable]]
+ [[Markov chain, generalized]]
+ [[Markov chain, non-decomposable]]
+ [[Markov chain, periodic]]
+ [[Markov chain, recurrent]]
+ [[Markov moment]]
+ [[Markov process]]
+ [[Markov property]]
+ [[Martingale]]
+ [[Mathematical expectation]]
+ [[Mathematical statistics]]
+ [[Maximal ergodic theorem]]
+ [[Measurable flow]]
+ [[Measurable function]]
+ [[Measurable space]]
+ [[Measure-preserving transformation]]
+ [[Median (in statistics)]]
+ [[Metric isomorphism]]
+ [[Metric transitivity]]
+ [[Mixing]]
+ [[Multinomial distribution]]

[[Normal distribution]]
+ [[Normal number]]

[[Operator ergodic theorem]]
+ [[Ornstein–Chacon ergodic theorem]]

[[Poisson distribution]]
+ [[Poisson process]]
+ [[Poisson theorem]]
+ [[Probabilistic metric space]]
+ [[Probability]]
+ [[Probability distribution]]
+ [[Probability measure]]
+ [[Probability of large deviations]]
+ [[Probability space]]
+ [[Probability theory]]

[[Quantile]]

[[Random variable]]

[[Separable process]]
+ [[Sequential analysis]]
+ [[Serial scheme]]
+ [[Spectrum of a dynamical system]]
+ [[Stable distribution]]
+ [[Standard Borel space]]
+ [[Stationary distribution]]
+ [[Stationary stochastic process]]
+ [[Statistical physics, mathematical problems in]]
+ [[Stochastic differential equation]]
+ [[Stochastic equivalence]]
+ [[Stochastic indistinguishability]]
+ [[Stochastic integral]]
+ [[Stochastic matrix]]
+ [[Stochastic process]]
+ [[Stochastic process with independent increments]]
+ [[Stochastic process with stationary increments]]
+ [[Strange attractor]]
+ [[Strong law of large numbers]]

[[Transition-operator semi-group]]
+ [[Transition function]]
+ [[Transition with prohibitions]]
+ [[Triangular array]]

[[Uniform distribution]]

[[Variance]]
+ [[Von Neumann ergodic theorem]]

[[Weak convergence of probability measures]]
+ [[Wiener process]]
---------------
[[Absolute continuity]]
+ [[Absolutely continuous measures]]
+ [[Accessible random variable]]
+ [[Additive function]]
+ [[Additive noise]]
+ [[Additive stochastic process]]
+ [[Almost-everywhere]]
+ [[A posteriori probability]]
+ [[A priori probability]]
+ [[Asymmetry coefficient]]
+ [[Asymmetry of a distribution]]
+ [[Atomic distribution]]
+ [[Automaton, probabilistic]]
+ [[Auto-correlation]]
+ [[Autocovariance]]
+ [[Auto-regression]]
+ [[Auto-regressive process]]
+ [[Berry-Esseen inequality]]
+ [[Birth-and-death process]]
+ [[Einstein-Smoluchowski equation]]
+ [[Independence]]
+ [[Kolmogorov inequality]]
+ [[Lattice distribution]]
+ [[Lebesgue integral‎]]
+ [[Non-atomic measure]]
+ [[Pascal distribution]]
+ [[Recurrent events]]
+ [[Special functions‎]]
+ [[Truncated distribution]]

===Know-how===

<nowiki>#REDIRECT[[]]</nowiki>

<nowiki>{{Anchor|countably separated}}</nowiki>

<nowiki>$\int f(x)\rd x$</nowiki> &nbsp; $\int f(x)\rd x$

<nowiki>$\int f(x)\,\mu(\!\rd x)$</nowiki> &nbsp; $\int f(x)\,\mu(\!\rd x)$

<nowiki>See {{Cite|K|Sect. 12.B}}.</nowiki>

<nowiki>{|</nowiki><br />
<nowiki>|valign="top"|{{Ref|K}}|| Alexander S.  Kechris, "Classical   descriptive set theory", Springer-Verlag (1995). &amp;nbsp;  {{MR|1321597}} &amp;nbsp; {{ZBL|0819.04002}</nowiki><br />
<nowiki>|-</nowiki><br />
<nowiki>|valign="top"|{{Ref|M}}||  George W.  Mackey,  "Borel structure in groups and their duals",  ''Trans.  Amer.  Math. Soc.''  '''85''' (1957), 134–165. &amp;nbsp; {{MR|0089999}} &amp;nbsp; {{ZBL|0082.11201}}</nowiki><br />
<nowiki>|}</nowiki>


====Article====
''Also: standard measurable space''

<nowiki>{{MSC|03E15|28A05,54H05}}</nowiki>

<nowiki>[[Category:Descriptive set theory]]</nowiki><br>
<nowiki>[[Category:Classical measure theory]]</nowiki>

<nowiki>$ \newcommand...$</nowiki><br>
A Borel space is called '''standard''' if...

-----------------------------------------------------

<nowiki>{{MSC|60-01|60F15,60F20}}</nowiki>

-----------------------------------------------------

<nowiki>{{DEF}}</nowiki><br>
This is a "wanted page". It was proposed that an entry with this title should be included.<br>
<nowiki>{{TEX|want}}</nowiki><br>
''subtitle''<br>
<nowiki>{{MSC|...}}</nowiki><br>
<nowiki>[[Category:...]]</nowiki><br>
<nowiki>{{TEX|done}}</nowiki><br>

====Category====

<nowiki>* {{MSC|60J10}}</nowiki>

<nowiki>[[Category:Markov processes]]</nowiki>

--------------------------------------

<nowiki>* {{MSC|60Jxx}}</nowiki>

<nowiki>[[Category:Probability theory and stochastic processes]]</nowiki>

--------------------------------------

<nowiki>* {{MSC|60}}</nowiki>

<nowiki>[[Category:Probability and statistics]]</nowiki>

====Talk====

: And please sign your messages (on talk pages) by four tildas: <nowiki>~~~~</nowiki>.