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math.DS2024
On an extension of a theorem by Ruelle to long-range potentials
Aernout C. D. van Enter, Roberto Fernández, Mirmukhsin Makhmudov +1
Ruelle's transfer operator plays an important role in understanding thermodynamic and probabilistic properties of dynamical systems. In this work, we develop a method of finding ei…
math.DS2024
Multifractal Formalism from Large Deviations
Mirmukhsin Makhmudov, Evgeny Verbitskiy, Qian Xiao
It has often been observed that the Multifractal Formalism and the Large Deviation Principles are intimately related. In fact, Multifractal Formalism was heuristically derived usin…