User:Boris Tsirelson
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Measurable space + Standard Borel space + Analytic Borel space
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We have 60+ articles with 60+ views each. [1]
History: Dec 2011: 40×40; Jan 2012: 60×60.
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Probability
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 + 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 + Extrapolation algorithm
Feller process + Flow (continuous-time dynamical system) + Functional of a Markov process
Galton–Watson process + Gaussian process + Generating function + 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 + Lebesgue space + 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 Tamagawa number Transition-operator semi-group Transition function Transition with prohibitions Triangular array Uniform distribution Von Neumann ergodic theorem Weak convergence of probability measures Wiener process
Know-how
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{{User:Boris Tsirelson/Anchor|countably separated}} (for now)
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}}
Category
* {{MSC|60J10}}
[[Category:Markov processes]]
* {{MSC|60Jxx}}
[[Category:Probability theory and stochastic processes]]
* {{MSC|60}}
[[Category:Probability and statistics]]
Boris Tsirelson. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Boris_Tsirelson&oldid=20803