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#probability

1 post1 participant0 posts today
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The Kid Should See This 🌈🪐✨

🎲🌀 How do mathematicians find patterns in unpredictable events? This #video explains randomness through Michel Talagrand's groundbreaking work on mathematical inequalities.

Random events follow patterns called "normal distributions". After 1,000 coin flips, getting only heads is almost impossible—randomness becomes predictable within limits.

👉 Learn more: thekidshouldseethis.com/post/r

Red dice scattered on a red surface with the Smithsonian Magazine logo and text overlay reading "Is Randomness Predictable?"
#tksst#math#probability
Public
Lise Andreasen

#ThisWeeksFiddler, 20250523
This week the #puzzle is: How Long Is the River? #probability (Link at the bottom.) … a phenomenon known as a “river”, where spaces between words diagonally align from one line of text to the next. Before getting to rivers, let’s figure out where spaces are likely to appear in the (fictional) Fiddlish language, which […]

stuff.ommadawn.dk/2025/05/27/t

Stuff from ommadawn.dk (Lise Andreasen) · #ThisWeeksFiddler, 20250523This week the #puzzle is: How Long Is the River? #probability (Link at the bottom.) … a phenomenon known as a “river”, where spaces between words diagonally align from one line of text …
Public
Ross Kang

Just yesterday, I was musing to a (younger) research visitor, "I hope that within my lifetime we will still see another breakthrough on the bounds for R(3,k)"...

arxiv.org/abs/2505.13371

I am excited to see what developments follow on from here!

(Also that old adage: just as soon as you publish a survey (arxiv.org/abs/2501.03379) it is out of date.)

arXiv logo
arXiv.orgA new lower bound for the Ramsey numbers $R(3,k)$We prove a new lower bound for the off-diagonal Ramsey numbers, \[ R(3,k) \geq \bigg( \frac{1}{3}+ o(1) \bigg) \frac{k^2}{\log k }\, , \] thereby narrowing the gap between the upper and lower bounds to a factor of $3+o(1)$. This improves the best known lower bound of $(1/4+o(1))k^2/\log k$ due, independently, to Bohman and Keevash, and Fiz Pontiveros, Griffiths and Morris, resulting from their celebrated analysis of the triangle-free process. As a consequence, we disprove a conjecture of Fiz Pontiveros, Griffiths and Morris that the constant $1/4$ is sharp.
#math#mathematics#combinatorics
Public
Lise Andreasen

#ThisWeeksFiddler, 20250509
This week the #puzzle is: Can You Sweep the Series? #probability Let p represent the probability the Celtics win any given game in the [best-of-seven] series. You should assume that p is constant (which means there’s no home-court advantage) and that games are independent. For certain values of p, the likeliest outcome is indeed that […]

stuff.ommadawn.dk/2025/05/13/t

Stuff from ommadawn.dk (Lise Andreasen) · #ThisWeeksFiddler, 20250509This week the #puzzle is: Can You Sweep the Series? #probability Let p represent the probability the Celtics win any given game in the [best-of-seven] series. You should assume that p is constant (…
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