A renormalization group scheme with running normalization collapses eigenvalue spectra of Wigner and Wishart matrices modified by power-law variance profiles, confirmed via fixed-point equations and simulations.
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Adaptive learning in large populations of random two-strategy games is often unstable or multi-stable, with stability controlled by memory loss rate and game competitiveness; a grand-canonical abstention variant is also analyzed.
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Renormalization group for spectral collapse in random matrices with power-law variance profiles
A renormalization group scheme with running normalization collapses eigenvalue spectra of Wigner and Wishart matrices modified by power-law variance profiles, confirmed via fixed-point equations and simulations.
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Complex dynamics in the Sherrington-Kirkpatrick game
Adaptive learning in large populations of random two-strategy games is often unstable or multi-stable, with stability controlled by memory loss rate and game competitiveness; a grand-canonical abstention variant is also analyzed.