User:Boris Tsirelson
My homepage at School of Mathematics, Tel Aviv University.
My user page on Wikipedia.
My research interests are in probability.
My contributions
Measurable space (45,000+ views); Standard Borel space (10,000+ views); Analytic Borel space (4,000+ views); Universally measurable (5,000+ views); Measure space (18,000+ views); Standard probability space (5,000+ views); Measure algebra (measure theory) (7,000+ views).
Wanted
Random matrix + SLE + Gaussian measure
And maybe: Borel equivalence relation (see WP)
Require revision
Bell inequalities + Probability of large deviations
Some statistics
We have 2400+ articles viewed 2400+ times each. [1]
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Notes to myself
Measurable space: 48149 views. 19:23, 14 November 2015. Rigid analytic space: 2298 views. 19:26, 14 November 2015.
Internal links
Talk:EoM:This project + Help:MSC Templates + User:Ulf Rehmann/Predefined TeX Macros + Help:HowTo EoM + User talk:Ulf Rehmann + User talk:Nbrothers + Encyclopedia of Mathematics:Administrators + all help pages
Popular pages + Statistics + Version
New pages + New users + Categories + Wanted categories + Category:Deficient + Templates
Non-Asy: Hysteron + Ellipse + Automata, methods of specification of + Pascal geometry + Braided group + Differential geometry + Hypergraph + Torus knot + Equal content and equal shape, figures of + System of subvarieties
Partially Asy: Wild knot
Asy: Sinusoid + Cantor ternary function + Caustic + Non-precise data + Golden ratio + Kolmogorov test + Power function + Sinusoidal spiral
Maybe need more attention
- Lindelöf hypothesis
- 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
MSC wiki + QuestyCaptcha + WikiProject Spam + WP:XLinkBot + WikiSpam + Asymptote
Claude Henri Picard (Claudeh5)
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
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
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
Symbol choice: Talk:Variance, Talk:Almost-periodic analytic function, Talk:Borel-Cantelli lemma.
#REDIRECT[[]]
{{Anchor|countably separated}}
$\int f(x)\rd x$ $\int f(x)\rd x$
$\int f(x)\,\mu(\!\rd x)$ $\int f(x)\,\mu(\!\rd x)$
See {{Cite|K|Sect. 12.B}}.
{|
|valign="top"|{{Ref|K}}|| Alexander S. Kechris, "Classical descriptive set theory", Springer-Verlag (1995). {{MR|1321597}} {{ZBL|0819.04002}
|-
|valign="top"|{{Ref|M}}|| George W. Mackey, "Borel structure in groups and their duals", ''Trans. Amer. Math. Soc.'' '''85''' (1957), 134–165. {{MR|0089999}} {{ZBL|0082.11201}}
|}
Article
Also: standard measurable space
{{MSC|03E15|28A05,54H05}}
[[Category:Descriptive set theory]]
[[Category:Classical measure theory]]
$ \newcommand...$
A Borel space is called standard if...
{{MSC|60-01|60F15,60F20}}
{{DEF}}
This is a "wanted page". It was proposed that an entry with this title should be included.
{{TEX|want}}
subtitle
{{MSC|...}}
[[Category:...]]
{{TEX|done}}
Category
* {{MSC|60J10}}
[[Category:Markov processes]]
* {{MSC|60Jxx}}
[[Category:Probability theory and stochastic processes]]
* {{MSC|60}}
[[Category:Probability and statistics]]
Talk
- And please sign your messages (on talk pages) with four tildas: ~~~~.
Boris Tsirelson. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Boris_Tsirelson&oldid=39006