Sparse sampling and dilation operations on Gibbs capacities, and multifractal formalism

DOI10.4310/AJM.2023.V27.N4.A3MaRDI QIDQ6618789

Stéphane Seuret, Julien Barral

Publication date: 15 October 2024

Published in: The Asian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

phase transitionsthermodynamic formalismHausdorff dimensionlarge deviationsrandom samplingmultifractalsmetric number theoryubiquity theory

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Large deviations (60F10) Fractals (28A80) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Hausdorff and packing measures (28A78)

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