Abstract: Holomorphic dynamics is one of the most popular and active (and also very wide) area of current Mathematics. In the branch of fractional iteration jointly with prof M.D. Contreras and other researches from Italy, we have developed a unified and general theory of the so-called Loewner chains. This last topic (specially in its stochastic version) has had and has a strong impact in Analysis (two Field medals in the last 15 years). At the same time, we also have a number (most of them really novel) of contributions in those dynamical aspects of fractional iteration in the unit disc. Related to this topic, last year we published a monograph about it
Researchers: Manuel D. Contreras, Santiago Díaz Madrigal, Filippo Bracci, Pavel Gumenyuk
Related project:
- Complex analysis, Banach spaces, and convexity (PGC2018-094215-B-100 )
- Dinámica y Funciones Analíticas. Referencia: MTM2006-14449-C02-01
- Loewner theory, related areas and applications (MTM2012-37436-C02-01 )
- Loewner theory, dynamics and analytic functions (MTM2009-14694-C02-02 )
- Harmonic and Complex Analysis and its Applications. Referencia: Research Networking Programme (European Science Foundation).
- Análisis Complejo, Espacios de Banach y Operadores. Referencia: MTM2015-63699-P
- Dinámica Plana y Operadores de Composición. Referencia: BFM2003-07294-C02-02
iMAT research line: ⊕ RL10. Mathematical Analysis
