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math.PR2025
Uniform Continuity in Distribution for Borel Transformations of Random Fields
Alexander I. Bufetov
Simple sufficient conditions are given that ensure the uniform continuity in distribution for Borel transformations of random fields.
math.PR2025
Boundary Feller-Dynkin processes associated with Laguerre processes and Pickrell diffusions
Alexander I. Bufetov, Yosuke Kawamoto
In this paper, we construct a Feller-Dynkin boundary process by applying the method of intertwiners to the coherent family, introduced in our previous work, of Laguerre processes w…
math.PR2024
The Speed of Convergence with respect to the Kolmogorov-Smirnov Metric in the Soshnikov Central Limit Theorem for the Sine-Process
Alexander I. Bufetov
For rescaled additive functionals of the sine-process, upper bounds are obtained for their speed of convergence to the Gaussian distribution with respect to the Kolmogorov-Smirnov…