Author

Sebastien Kawada

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Preprint Oct 2026

Universal Radial Laws for Random Polynomials: Erd\H{o}s Problem #522 and Non-Universal Fluctuations

We resolve Erd\H{o}s Problem #522, posed in 1961, by proving that for random Littlewood polynomials the proportion of zeros in the closed unit disk converges almost surely to $1/2$. More generally, for partial sums of random power series with i.i.d. coefficients that are bounded, nondegenerate, and centrally symmetric,...

Sebastien Kawada · 0 citations

#artificial intelligence Preprint Sep 2026

Evidence Integration in Large Language Models

A distributional theory in which evidence shifts the receiver's distribution of initial answers, driven by a receiver prior weight and a candidate evidence tilt, leading to three predictions: candidates more probable to the receiver are more persuasive, receivers more readily integrate characteristic errors of their ow...

Sebastien Kawada, M. Kellis · 2 citations