Complex Analysis and Dynamical Systems

On polynomially integrable domains in Euclidean spaces.- A survey on the maximal number of solutions of equations related to gravitational lensing.- Boundary interpolation by finite Blaschke products.- Support points and the Bieberbach conjecture in higher dimension.- Some unsolved problems about condenser capacities on the plane.- Filtration of semi-complete vector fields revisited.- Polynomial lemniscates and their fingerprints: from geometry to topology.- Regularity of mappings with integrally restricted moduli.- Extremal problems for mappings with $g$-parametric representation on the unit polydisc in $C^n$.- Evolution of states of a continuum jump model with attraction.- Problems on weighted and unweighted composition operators.- Harmonic measures of slit sides, conformal welding and extremal problems.- Comparison moduli spaces of Riemann surfaces.- Asymptotic ratio of harmonic measures of sides of a boundary slit.- Coupling of Gaussian free field with general slit SLE.- A Marx-Strohhacker type result for close-to-convex functions.

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• Cálculo diferencial e equações
• Análise funcional e transforma
• Análise complexa, variáveis ??complexas
• Cálculo integral e equações

semigroups;holomorphic mappings;harmonic measure;boundary slits;Loewner equation;composition operators;weighted composition operators;asymptotic Toeplitz operators;Harmonic measure;analytic cusp;conformal welding;Bombieri numbers;ordinary differential equations