Nate Eldredge
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Registered User
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1d |
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What are some applications of other fields to mathematics? Should one perhaps also mention what it is? |
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2d |
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When does a $W^*$-algebra have a standard Borel spectrum? @Dmitri: I assume $\ell^1([0,1])$ (not $L^1$) is the space of summable functions on $[0,1]$ equipped with counting measure. Of course, here $[0,1]$ is just playing the role of a set with cardinality $\mathfrak{c}$. |
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May 19 |
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Existence of dominating measure for weak*-compact set of measures For future readers: as mentioned below, please note that the weak-* topology here is the one induced by considering measures on $(\Omega, \mathcal{F})$ as linear functionals on the space of bounded measurable functions on $\Omega$ (not continuous functions; $\Omega$ has not been given a topology.) For Mike Jury's comment, the space of all probability measures on $[0,1]$ is not compact in this topology, and for Gerald Edgar's, $x \mapsto \delta_x$ is not continuous. |
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Apr 17 |
awarded | ● Pundit |
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Apr 12 |
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“Uniqueness of extension” results for measures on separable spaces @Julian: Well, I for one had to think about it for a couple of minutes. If it were my paper, I'd probably at least put in a few words to indicate to the reader how it goes. If you'd like to acknowledge me, my "publication name" is Nathaniel Eldredge. Glad to help! |
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Apr 11 |
accepted | “Uniqueness of extension” results for measures on separable spaces |
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Apr 11 |
answered | “Uniqueness of extension” results for measures on separable spaces |
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Mar 23 |
awarded | ● Yearling |
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Mar 21 |
awarded | ● Nice Question |
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Mar 21 |
revised |
“Wild” solutions of the heat equation: how to graph them? unbalanced parentheses |
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Mar 21 |
asked | “Wild” solutions of the heat equation: how to graph them? |
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Mar 20 |
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Examples of interesting false proofs It does constitute a proof of the weak law of large numbers, and it shows that if the limit $\lim_{n \to \infty} \frac{1}{n} \sum_{i=1}^n X_i$ exists almost surely, it must equal $\mu$. |
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Mar 19 |
awarded | ● Good Answer |
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Feb 17 |
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A problem on left skip free random walk with negative drift This site is for research-level questions, and this question is homework-level. It is better at math.stackexchange.com where you have [already posted it](math.stackexchange.com/questions/306151/…). |
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Feb 1 |
awarded | ● Nice Answer |
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Dec 30 |
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Old books still used Also known as Grandaddy Rudin. |
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Dec 24 |
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When is a space of measures a measurable space? And $\mathcal{M}(X)$ here includes all real-valued (i.e. signed) measures on $X$; they need not be positive. So if $X$ is a point then $\mathcal{M}(X)$ is $\mathbb{R}$. |
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Dec 24 |
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When is a space of measures a measurable space? We're not asking for a measure on $\mathcal{M}(X)$, are we? Just a $\sigma$-algebra. |
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Dec 22 |
awarded | ● Good Answer |
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Dec 4 |
awarded | ● Popular Question |
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Nov 26 |
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Extremal point and probability Is this fact still true in infinite-dimensional spaces? Say, a separable Frechet space. |
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Nov 26 |
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Extremal point and probability This doesn't really answer the question, it just rephrases it. Why does this condition imply $\mu$ is an atom? |
