Bitcoin's price power law: mechanism or fit?
Explore how a 2026 study links Bitcoin price scaling to adoption and network value, and where its mechanistic claims outrun the evidence.
Read the analysisResearch area
Power law
A power law is not a theory of Bitcoin price
Bitcoin’s long-run price scaling is real. But supply, adoption, and market structure suggest it is better understood as an empirical regime.
Read the analysis
Bitcoin Extreme Returns: Power-Law Tails and Finite Variance
Explore how extreme Bitcoin returns exhibit power-law tails with exponents between 2 and 2.5, implying a finite second moment.
Read the analysis
Bitcoin's power law: weak structure, strong forecasts
Explore how Bitcoin's power law fits history poorly but forecasts better than complex wave models at long horizons.
Read the analysis
Power-Law Adoption, Custody, and Policy Tradeoffs
The October 02, 2025 episode of Bitcoin for Millennials features Pius Sprenger outlining how post-2008 distortions continue to channel demand toward non-sovereign money and why Bitcoin’s fundamental risk falls as network scale grows.
Read the analysis
Bitcoin Quant Analysis & Security Trends
The March 28, 2025 episode of Mr. M Podcast featuring Stephen Perrenod delivers a rigorous quantitative analysis of Bitcoin’s price dynamics, contrasting flawed stock-to-flow models with power law and quantile regression methods.
Read the analysis
Bitcoin’s Network Dynamics: Power Law Curves and the Monetary Base
The March 12, 2025 episode of TFTC features Matthew Mezinskis dissecting Bitcoin’s unique growth dynamics, emphasizing its power law model and the influence of a Strategic Bitcoin Reserve on market legitimacy.
Read the analysis
Bitcoin’s Power Law: Navigating Growth and Risk
The February 13, 2025 episode of the Brandon Gentile Podcast featuring Giovanni Santostasi explores Bitcoin’s power law dynamics in both price and network adoption.
Read the analysis
The Truth Behind Bitcoin’s Power Law: Rigor Versus Hype
In this post, I offer an opinion & deep dive into Bitcoin’s “power law” claims, rigorously examining whether the extreme price movements observed in Bitcoin’s history truly follow a heavy-tailed distribution.
Read the analysis
Bitcoin’s Price Growth through the Lens of Power Law Analysis
The December 2, 2024 episode of the Stephan Livera Podcast features Plan C and Sminston discussing Bitcoin's long-term price behavior using the power law model, emphasizing its predictive reliability.
Read the analysis
Power laws, Pareto distributions and Zipf's law
Full article summary: Newman, M.E.J., 2005. Power laws, Pareto distributions and Zipf's law. Contemporary Physics 46, 323-351. http://dx.doi.org/10.1080/00107510500052444
Read the analysis
Bitcoin Power Law: Decoding Growth, Network Effects, and Strategic Potential
The November 29, 2024 episode of the Rajat Soni podcast features Sina explaining Bitcoin’s historical adherence to the power law model, its declining volatility, and the transformative impact of network effects.
Read the analysis