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terrytao.wordpress.com | ||
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a3nm.net
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| | | | | List of open questions | |
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almostsuremath.com
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| | | | | The aim of this post is to motivate the idea of representing probability spaces as states on a commutative algebra. We will consider how this abstract construction relates directly to classical probabilities. In the standard axiomatization of probability theory, due to Kolmogorov, the central construct is a probability space $latex {(\Omega,\mathcal F,{\mathbb P})}&fg=000000$. This consists... | |
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extremal010101.wordpress.com
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| | | | | Suppose we want to understand under what conditions on $latex B$ we have $latex \begin{aligned} \mathbb{E} B(f(X), g(Y))\leq B(\mathbb{E}f(X), \mathbb{E} g(Y)) \end{aligned}$holds for all test functions, say real valued $latex f,g$, where $latex X, Y$ are some random variables (not necessarily all possible random variables!). If $latex X=Y$, i.e., $latex X$ and $latex Y$ are... | |
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jkmsmkj.fyi
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| | | 4gravitons has proposed a challenge: To explain scientific papers appearing on arXiv on a given day in a given (sub)field to a general audience. The challenge is directed towards fellow science communicators so that definitely excludes me. But one of my old year thoughts (turned to a new year resolution) for this blog was to... | ||
