Alexander Pruss

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Name	Alexander Pruss
Member for	7 months
Seen	May 18 at 22:36
Website	alexanderpruss.com
Location	United States
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Hyperreal finitely-additive measure on [0,1) assigning $b-a$ to $[a,b)$ or $(a,b]$ and infinitesimals to singletons

pr.probability nonstandard-analysis

sep 27 at 16:56 David Milovich 681●3●10

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291

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A set of positive measure with cardinality less than that of the continuum?

measure-theory set-theory

mar 25 at 14:44 Sean Eberhard 1,257●3●10

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212

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Is it consistent with ZFC that there is a translation-invariant extension of Lebesgue measure that assigns nonzero measure to some set of measure less than c?

measure-theory set-theory

mar 25 at 21:51 Joseph Van Name 1,825●4●11

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137

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Hyperfinite set containing the reals, with specified upper bound on internal cardinality?

set-theory nonstandard-analysis

nov 8 at 16:08 Joel David Hamkins 75.3k●7●187●343

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292

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Products of Boolean algebras and probability measures thereon

pr.probability ra.rings-and-algebras boolean-algebras

feb 25 at 16:47 Joseph Van Name 1,825●4●11

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Rotation-invariant strict-inclusion-preserving preorderings on subsets of the circle

pr.probability order-theory

mar 19 at 15:37 Alexander Pruss 337●6

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Infinite product of finitely-additive probability measures

pr.probability

feb 23 at 23:06 Alexander Pruss 337●6

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Recovery of probability distribution from a single point

pr.probability

may 18 at 22:37 Alexander Pruss 337●6

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examples of random variable X independent to each of A and B, but not to (A,B)

Central Limit Theorem (and Berry-Esseen theorem) for non-independent variables

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Questions

Hyperreal finitely-additive measure on [0,1) assigning $b-a$ to $[a,b)$ or $(a,b]$ and infinitesimals to singletons

A set of positive measure with cardinality less than that of the continuum?

Is it consistent with ZFC that there is a translation-invariant extension of Lebesgue measure that assigns nonzero measure to some set of measure less than c?

Hyperfinite set containing the reals, with specified upper bound on internal cardinality?

Products of Boolean algebras and probability measures thereon

Rotation-invariant strict-inclusion-preserving preorderings on subsets of the circle

Infinite product of finitely-additive probability measures

Recovery of probability distribution from a single point

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