B-spline approximation of the Perron-Frobenius operator provides rigorous bounds and higher-order convergence for Hausdorff dimensions of continued fraction IFS limit sets.
Lecture notes on Legendre polynomials: their origin and main properties
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A distributed bilevel algorithm optimizes emergent macroscopic behavior in multi-agent systems by combining local exponential-family state estimation with hypergradient microscopic updates and proves convergence via timescale separation.
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Rigorous High-Order Hausdorff Dimension Estimation of Limit Sets of Continued Fraction Iterated Function Systems via B-Splines
B-spline approximation of the Perron-Frobenius operator provides rigorous bounds and higher-order convergence for Hausdorff dimensions of continued fraction IFS limit sets.
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A Distributed Bilevel Framework for the Macroscopic Optimization of Multi-Agent Systems
A distributed bilevel algorithm optimizes emergent macroscopic behavior in multi-agent systems by combining local exponential-family state estimation with hypergradient microscopic updates and proves convergence via timescale separation.