3 papers
math.CV2025
Galton-Watson processes, simple varieties of trees and Khinchin families
Víctor J. Maciá
In this note, we introduce a unified analytic framework that connects simple varieties of trees, Bienayme-Galton-Watson processes and Khinchin families. Using Lagrange's inversion…
math.CV2025
The Theory of Khinchin Families
Víctor J. Maciá
The theory of Khinchin families connects Probability Theory and Complex Analysis. Along this PhD thesis, we exploit this connection to obtain, using a variety of local central limi…
math.PR2025
Some Gaussianity criteria for Khinchin families
Víctor J. Maciá
In this note we establish simple and verifiable analytical conditions for a power series f in the class K, and its associated Khinchin family, to be Gaussian. We give several momen…