Latest Articles for Complex Analysis

Examining the density of periodic points in simply connected Fatou components.

Exploring the links between hyperbolic manifolds and Riemann surfaces.

Exploring how Julia sets change along Mandelbrot set paths reveals deep mathematical insights.

Exploring the challenges of linearizing group actions on cubic threefolds with singularities.

A look into bounded symmetric domains and their significance in mathematics.

A look at Toeplitz operators in Bergman and Fock spaces.

Exploring Chebyshev polynomials through Tang's algorithm in the complex plane.

Examining the Riemann hypothesis through advanced root-finding techniques.

A look into the role of reproducing kernels in function spaces.

An overview of holomorphic functions and their role in operator spaces.

A closer look at plurisubharmonic functions and their key properties.

Researchers reveal key findings on inner functions and their recurring behaviors.

Exploring the intricate relationships within modular curves and their mathematical significance.

Examining cone multipliers and their significance in functional analysis and Hardy spaces.

An overview of meromorphic mappings and their role in complex analysis.

Exploring the connections between volume forms, balanced manifolds, and the Calabi-Yau equation.

Exploring solutions and implications of Seiberg-Witten vortex equations in mathematics and physics.

Overview of mixed Hodge modules and their relevance to algebraic stacks.

Exploring the impact of multiply connected spaces in conformal field theory and stochastic processes.

This study reveals new perspectives on Borwein integrals using residue theory.

A look at Riemann surfaces and their significance in mathematics.

This research delves into holomorphic functions and their maximum values in Hardy spaces.

This article explores elliptic curves and the famous Birch and Swinnerton-Dyer conjecture.

Exploring the significance of Hardy spaces and operators in understanding mathematical functions.

Explore the fascinating world of entire functions and their unique properties.

Investigating the interaction between rational maps and Hecke groups through mating.

A look into Riemann surfaces and their properties via Bergman kernels.

Exploring the complex relationships and structures of Riemann surfaces.

Examining the interplay of shapes through tiling, networks, and mathematical maps.

A look into harmonic functions and their significance in various fields.

A look at smoothness and bounded point derivations in complex analysis.

Exploring black holes through the lens of thermodynamics and complex analysis.

Understanding how complex domains can reshape into simpler forms.

Unraveling the significance of the Riemann zeta function in number theory.

A look into complex manifolds and their significant properties.

Exploring the dynamics of composition operators and their connection to inner functions.

An overview of the structure and significance of non-degenerate CR manifolds in geometry.

Exploring the connections between rational curves and complex surfaces.

Exploring the significance of characteristic polynomials in random matrix theory and number theory.

A deep dive into Riesz projection and its effects on harmonic functions.