PI: Contreras Márquez, Manuel D. Abstract: The project can be situated within the general framework of analytic and harmonic functions in planar domains or in other special domains in several variables or spheres and its relationships with, or applications to, other fields of Mathematics. Our global objective is to deepen further our understanding of several aspects …
PI: Santiago Díaz Madrigal Abstract: In the context of the theory of linear operators, the main aim of the project was the study of different structural and dynamical properties of those semigroups of composition operators linked to semigroups of holomorphic self-maps of the unit disc. Implied entities: Universidad de Sevilla iMAT research line: ⊕ RL10. Mathematical …
Linear Operators and Spaces of Analytical Functions Leer más »
PI: Carlos Pérez Moreno (del 01/01/2013 al 30/09/2014) PI2: Luis Rodríguez Piazza (del 01/10/2014 al 31/12/2015) Abstract: In this project we propose several lines of research included mainly within the topics of Harmonic and Functional Analysis. More precisely and within the first area, we study problems related with the following topics: singular Integrals and weighted theory (growth …
PI1: Manuel D. Contreras Márquez PI2: Luis Rodríguez Piazza Abstract: The aim of this project is to develop several research topics in the frame of Mathematical Analysis touching different areas as complex variable, operator theory, geometry of Banach spaces, differential equations, and convex geometry. More specifically, we address the following topics: 1. Problems of Loewner theory where …
PIs (subproject 1): Genaro López Acedo, Rafael Espínola PI (subproject 2): Jesús García Falset Abstract: This Project takes up several problems where the application of tools originally provided by Functional Analysis is fundamental for the approaches we follow. A common feature to these problems is the relevance of the geometry of the environment spaces as …
PI (subproject 1): Genaro López Acedo PI (subproject 2): Jesús García Falset Abstract: In this Project, different classes of linear and nonlinear operators are studied at the time that connections among several branches of Mathematical Analysis such as Geometry of Banach and Metric Spaces, Metric and Topological Fixed Point Theory, Optimization, Cyclic Operators and Linearity …
PI: Amparo María Mármol Conde Abstract: The general aim of this project is the investigation of collective decision-making where the interaction between the agents involved is a relevant issue and has an important effect on the results. These situations are common in numerous economic, social and political environments and can be represented by strategic and cooperative …
Collective Decisions in Competitive and Collective Contexts Leer más »
PI: Rocío González Díaz Abstract: The field of image analysis is concerned with analysing and extracting information from images, as a whole, and the objects within, as its parts. Combinatorial image analysis, a subfield of image analysis, studies combinatorial properties of digital images (more generally any digital data-set). Algebraic topology is a field of mathematics concerned …
Algebraic Topology for Combinatorial Analysis of Images Leer más »
PI: Rocío González Díaz Abstract: The general aim of our research is to study fundamental problems that arise in computational topology and their interaction with data analysis and machine learning. The project is divided into three fundamental sections: 1. Advances in computational algebraic topology. The first part of the project is devoted to studying the computability …
Advances in Computational Topology and Applications Leer más »
PI: Antonio Suárez Fernándezco-PI: Francisco Guillén González Abstract: Mathematics has long been intertwined with biological sciences. The synergy between biology and mathematics seems to enrich both fields. Biology is increasingly stimulating the creation of new mathematical theories to explain in a simplified way the complexity of the world of living organisms. On the other hand, the …
PDEs for Biological models with Chemotaxis and Nonlocal effects Leer más »
