I looked at a historical price of bitcoin recently on a semi log plot and was surprised that it's long term growth rate seems to be slowing in a predictable way. I looked into it and it turns out there is a power law relationship between bitcoin price and time. Here is a chart showing the relationship https://charts.bitbo.io/long-term-power-law/

I am curious what economics are behind this relationship. I looked into it a little but there was lots of crypto hype articles to wade through...I am not interested in "investing" in bitcoin and think this pattern could easily end if conditions change. Still it is pretty cool that the pattern has held since 2009. I would like to know what has driven this behavior.

#bitcoin
#cryptoCurrency
#powerLaw

VCs Aren’t Just Funding AI Startups—They’re Picking the Kings

New playbook in AI: mega‑funds pour huge checks, exclusive compute access, and distribution deals into a tiny set of startups—before the market is even formed. It’s not “may the best product win,” it’s “may the best‑connected company start 20 laps ahead.”

If you’re outside those capital + GPU networks, you’re not competing in the same race.

https://buff.ly/fG1kbDV
#AI #VC #Startups #PowerLaw

https://www.youtube.com/watch?v=HBluLfX2F_k

#powerlaw #criticality #fractal

RE: https://mastodon.social/@Faskil/115622927455310191

#powerLaw explained with example!

https://en.wikipedia.org/wiki/Power_law#Power-law_probability_distributions

Glad to be granted a patent on prediction & control of blowout in combustion systems by United States Patent and Trademark Office. Our invention predicts the exact blowout time significantly earlier using a log periodic power law & performs control action to prevent the blowout.

#USPatents #IntellectualProperty #Blowout #IITMadras #Aviation #Innovation #JetEngine #STEM #Aerospace #Statisticalphysics #powerlaw #Complexsystems #Sustainability #scaleinvariance #Logperiodicity #Combustion

@skewray True!

1/f distributions --- one of my advisors told me not to study that because it would destroy my career. His name was Per Bak. I ignored him. He was right tho

Lévy distributions are a nice example of a convolutionally stable power law with non-Gaussian behavior. Cauchy distributions, despite having no finite mean or variance are also stable. α-stable.

You do need infinite data to know the true asymptotic shape of a distribution ...

It is possible to measure the fatness of the tails of a distribution ... But I've been told that "α-stable laws are both beautiful and frustrating: they’re mathematically neat, but empirically very hard to confirm.", so yeah, what Bak said

#1overf #powerlaw

Stanford study confirms what entrepreneurs suspected: 46% of VCs are basically expensive Magic 8-balls with worse odds 🎱

Out of 12,069 middle-to-senior VC professionals studied, nearly half never achieved even a 2x return on any investment. To be fair, VC works on power law - most bets fail, but the few big wins compensate. Still... yikes 📊

https://news.slashdot.org/story/25/07/28/1653234/nearly-half-of-us-venture-capital-professionals-in-middle-to-senior-positions-have-no-successful-investments

#VentureCapital #StartupFunding #PowerLaw