4 papers
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.
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…
Local spectral estimates and quantitative weak mixing for substitution -actions
Alexander I. Bufetov, Juan Marshall-Maldonado, Boris Solomyak
The paper investigates Hölder and log-Hölder regularity of spectral measures for weakly mixing substitutions and the related question of quantitative weak mixing. It is assumed t…
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…