Almost Sure
@almostsure.bsky.social
George Lowther. Author of Almost Sure blog on maths, probability and stochastic calculus
https://almostsuremath.com
Also on YouTube: https://www.youtube.com/@almostsure
https://almostsuremath.com
Also on YouTube: https://www.youtube.com/@almostsure
Fractional Brownian motion, varying the Hurst parameter H between 0 and 1. H=0.5 corresponds with standard Brownian motion, and the path has fractal dimension 2-H
March 21, 2025 at 1:22 AM
Fractional Brownian motion, varying the Hurst parameter H between 0 and 1. H=0.5 corresponds with standard Brownian motion, and the path has fractal dimension 2-H
Constructing Weierstrass' function.
Continuous, nowhere differentiable, unbounded variation, no intervals of increase or decrease. Fractal dimension 3/2.
All things it has in common with mathematical Brownian motion
Continuous, nowhere differentiable, unbounded variation, no intervals of increase or decrease. Fractal dimension 3/2.
All things it has in common with mathematical Brownian motion
March 21, 2025 at 1:15 AM
Constructing Weierstrass' function.
Continuous, nowhere differentiable, unbounded variation, no intervals of increase or decrease. Fractal dimension 3/2.
All things it has in common with mathematical Brownian motion
Continuous, nowhere differentiable, unbounded variation, no intervals of increase or decrease. Fractal dimension 3/2.
All things it has in common with mathematical Brownian motion
Visualizing the curvature of the Earth
February 4, 2025 at 6:53 PM
Visualizing the curvature of the Earth
Borwein integrals
January 10, 2025 at 10:10 PM
Borwein integrals
Have a great 2025!
January 4, 2025 at 12:38 PM
Have a great 2025!
It's always difficult to remember which Bernoulli
December 30, 2024 at 9:04 PM
It's always difficult to remember which Bernoulli