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math.PR2026
Towards Liouville Quantum Gravity on fractals
Patricia Alonso Ruiz, Eva Kopfer
Motivated by the recent construction of fractional Gaussian fields on the Sierpinski gasket, we study those Gaussian fields whose covariance function exhibits a logarithmic behavio…
math.PR2019★ 1 cited
Heat kernel analysis on diamond fractals
Patricia Alonso Ruiz
This paper presents a detailed analysis of the heat kernel on an -parameter family of compact metric measure spaces, which do not satisfy the volume d…
math.PR2015
The limit theorem for maximum of partial sums of exchangeable random variables
Patricia Alonso Ruiz, Alexander S. Rakitko
We obtain the analogue of the classical result by Erdös and Kac on the limiting distribution of the maximum of partial sums for exchangeable random variables with zero mean and var…