Fourier decay in parabolic C^1+α systems with overlaps

2025/05/21 by Gaétan Leclerc, Leclerc, Gaétan, Sampo Paukkonen +3
Computer Science · #37A46 (Primary) 37D35 #37D45 (Secondary) #Advanced Mathematical Modeling in Engineering #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Mathematics #Spectral Theory (math.SP)

paper · pdf · doi:10.48550/arxiv.2505.15468

openalex publication_date 2025/05/21 · openalex created_date 2025/10/19 · openalex updated_date 2026/07/30

Abstract

We establish power Fourier decay for equilibrium states of parabolic C^1+α iterated function systems with overlaps satisfying a multiscale nonlinearity condition. This class includes the Lyons conductance measures ν_t, 0

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