í hugar

Research

Current work focuses on the mathematics of portfolio dynamics and wealth taxation — how wealth taxes interact with investment decisions, and how spectral methods from random matrix theory illuminate the structure of portfolios and wealth distributions.

Wealth Tax Neutrality Framework

A mathematical framework for wealth taxation, from distortion to distribution. Eleven working papers establish the neutrality result, map the channels that break it, model tax migration as social contagion — and take up the design half: what redistributes, at what cost, and why the proposed swap to profit taxes fails at the Norwegian top.

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Spectral Portfolio Theory

Neural network weight matrices are portfolio allocation matrices. Their spectral structure encodes factor decompositions, wealth concentration, and the conditions for tax neutrality — generalising the wealth tax framework to arbitrary perturbations.

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Recent Posts

Gravity, Confinement, and the Swap That Doesn’t Exist

Five new papers take up the other half of the wealth-tax question: not what the tax distorts, but what it does to the distribution. A proportional tax redistributes nothing; progressivity buys speed at the price of neutrality; and the popular proposal to swap the wealth tax for dividend taxes fails at the Norwegian top — not expensive, unavailable.

July 2026

The Stock Market Is Not Normal, and It Shows Traces of History

Take the classic random-walk test apart direction by direction, and the coin-flip picture of markets fails by a factor of fifty — not in returns, but in turbulence. The market’s volatility carries a memory running years, and somewhere in the late 1980s it began remembering differently.

July 2026

The Blind Men and the Wealth Tax

Norway’s tax commission proposed something close to a neutral wealth tax — and the public reaction split exactly along the lines the theory predicts. Five experts each grasp one part of the elephant, while a persistent myth about pricing describes a part that isn’t there.

June 2026

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