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 mattbaker.blog
A p-adic proof that pi is transcendental | Matt Baker's Math Blog
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Algebraic Probability - Almost Sure
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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...
| | terrytao.wordpress.com
245B, Notes 12: Continuous functions on locally compact Hausdorff spaces | What's new
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| | A key theme in real analysis is that of studying general functions $latex {f: X \rightarrow {\bf R}}&fg=000000$ or $latex {f: X \rightarrow {\bf C}}&fg=000000$ by first approximating them b
| | mathscholar.org
Simple proofs: Pi is transcendental « Math Scholar
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| | lucatrevisan.wordpress.com
The spectrum of the infinite tree | in theory
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| The spectral norm of the infinite $latex {d}&fg=000000$-regular tree is $latex {2 \sqrt {d-1}}&fg=000000$. We will see what this means and how to prove it. When talking about the expansion of random graphs, abobut the construction of Ramanujan expanders, as well as about sparsifiers, community detection, and several other problems, the number $latex {2 \sqrt{d-1}}&fg=000000$...