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math.PR2022
Loewner Theory for Bernstein functions II: applications to inhomogeneous continuous-state branching processes
Pavel Gumenyuk, Takahiro Hasebe, José-Luis Pérez
This paper continues the research project launched in [Constr. Approx. (2025) https://doi.org/10.1007/s00365-023-09675-9] and aimed at studying time-inhomogeneous one-dimensional b…
math.CV2022
Loewner Theory for Bernstein functions I: evolution families and differential equations
Pavel Gumenyuk, Takahiro Hasebe, José-Luis Pérez
One-parameter semigroups of holomorphic functions appear naturally in various applications of Complex Analysis, and in particular, in the theory of (temporally) homogeneous Markov…
math.CV2022
Shearing maps and a Runge map of the unit ball which does not embed into a Loewner chain with range
Filippo Bracci, Pavel Gumenyuk
In this paper we study the class of "shearing" holomorphic maps of the unit ball of the form . Besides general properties, we use such maps to construct a…