[图书][B] Continuous semigroups of holomorphic self-maps of the unit disc
F Bracci, MD Contreras, S Díaz-Madrigal - 2020 - Springer
Continuous one-parameter semigroups of holomorphic self-maps of the unit disc D in the
complex plane C have been a subject of study since early 1900s, both for their intrinsic …
complex plane C have been a subject of study since early 1900s, both for their intrinsic …
[图书][B] Classical and stochastic Laplacian growth
One of the most influential works in fluid dynamics at the edge of the XIXth and XXth
centuries was a series of papers, see, eg,[265], written by Henry Selby Hele-Shaw between …
centuries was a series of papers, see, eg,[265], written by Henry Selby Hele-Shaw between …
Evolution families and the Loewner equation II: complex hyperbolic manifolds
F Bracci, MD Contreras, S Díaz-Madrigal - Mathematische Annalen, 2009 - Springer
Mathematische Annalen Page 1 Math. Ann. (2009) 344:947–962 DOI 10.1007/s00208-009-0340-x
Mathematische Annalen Evolution families and the Loewner equation II: complex hyperbolic …
Mathematische Annalen Evolution families and the Loewner equation II: complex hyperbolic …
An abstract approach to Loewner chains
We present a new geometric construction of Loewner chains in one and several complex
variables which holds on complete hyperbolic complex manifolds and prove that there is …
variables which holds on complete hyperbolic complex manifolds and prove that there is …
Variation of Loewner Chains, Extreme and Support Points in the Class in Higher Dimensions
We introduce a family of natural normalized Loewner chains in the unit ball, which we call
“geräumig”—spacious—which allow us to construct, by means of suitable variations, other …
“geräumig”—spacious—which allow us to construct, by means of suitable variations, other …
Monotone increment processes, classical Markov processes, and Loewner chains
U Franz, T Hasebe, S Schleißinger - arXiv preprint arXiv:1811.02873, 2018 - arxiv.org
We prove one-to-one correspondences between certain decreasing Loewner chains in the
upper half-plane, a special class of real-valued Markov processes, and quantum stochastic …
upper half-plane, a special class of real-valued Markov processes, and quantum stochastic …
Loewner chains in the unit disk
MD Contreras, S Díaz-Madrigal… - Revista Matemática …, 2010 - ems.press
In this paper we introduce a general version of the notion of Loewner chains which comes
from the new and unified treatment, given in [Bracci, F., Contreras, MD and Díaz-Madrigal …
from the new and unified treatment, given in [Bracci, F., Contreras, MD and Díaz-Madrigal …
[HTML][HTML] Solving the Loewner PDE in complete hyperbolic starlike domains of CN
Solving the Loewner PDE in complete hyperbolic starlike domains of CN - ScienceDirect Skip to
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Extremal properties associated with univalent subordination chains in
For a linear operator A ∈ L (C^ n) A∈ L (C n), let k_+(A) k+(A) be the upper exponential
index of AA and let m (A)=\min {R ⟨ A (z), z ⟩: ‖ z ‖= 1\} m (A)= min R< A (z), z>:‖ z‖= 1 …
index of AA and let m (A)=\min {R ⟨ A (z), z ⟩: ‖ z ‖= 1\} m (A)= min R< A (z), z>:‖ z‖= 1 …
Filtrations of infinitesimal generators
F Bracci, MD Contreras, S Díaz-Madrigal… - Functiones et …, 2018 - projecteuclid.org
We study the problem of characterizing membership of normalized holomorphic functions of
the disc to the class of infinitesimal generators and their sectorial analytical extension. We …
the disc to the class of infinitesimal generators and their sectorial analytical extension. We …