Almost Sure

@almostsure.bsky.social

847 Followers 92 Following

George Lowther. Author of Almost Sure blog on maths, probability and stochastic calculus https://almostsuremath.com Also on YouTube: https://www.youtube.com/@almostsure

Moments of random variable equal 2 xi

A video of the wild path of z^z as z rotates round the unit circle in the complex plane

Absolutely continuous rvs summing to singular rv

simulating for fixed mu

another martingale surface

Martingale sample paths

distribution calculation

Hermite-Hadamard inequality

Plot of derivatives showing positive, as required for convex order

Wikipedias claim

Proof of Holder continuity

Fractional Brownian motion, dynamically changing Hurst parameter

Weierstrass' function built from cosine series

Feigenbaum constant in the corner, other constants partying

Measuring the Earth (thumbnail)

Island partially obscured by curvature of the Earth

Nobody expects the Borwein integral

Beach pic

Borwein integrals, equal pi for the first few iterations, then very very close to pi

spin machine to select the correct Bernoulli

3^6+6^4=(3^2+6^2)^2=2025

Christmas version of banner image

Taylor expansion animated proof

Constructing a slide rule for multiplying numbers

Blackberry liqueur

Martingales and the Peacock Problem thumbnail

green screen removal example

Tight lower bounds for anti-concentration of Rademacher sums and Tomaszewski's counterpart problem

same response on Twitter

Isometry Group of Gromov-Hausdorff space. Abstract referencing me, George Lowther, and complaining about lack of follow-up to online posts and claims

Commentators by football pitch with oddly sized jackets

45^2=2025

presenting slide

Vitalik on warp cast

Wet supermarket carpark

Stroock & Varadhan
Multidimensional Diffusion Processes

Revuz & Yor
Continuous Martingales and Brownian Motion

Cotangent space as equivalence class of functions and tangent is its dual