About the Journal

ISQGD Journal of Quantization and Dynamical Systems (JQDS)

The ISQGD Journal of Quantization and Dynamical Systems (JQDS) is a peer-reviewed international journal dedicated to the rigorous mathematical foundations of quantization, dynamical systems, and their deep connections with analysis and geometry. The journal emphasizes structural insight, conceptual clarity, and the development of advanced analytical methods.

JQDS aims to provide a distinguished platform for high-quality research that advances the mathematical understanding of dynamical phenomena from both classical and modern perspectives. Contributions are expected to demonstrate originality, depth, and a strong theoretical framework.

Core Focus
• Pure and rigorous mathematical analysis
• Structural and qualitative theory of dynamical systems
• Quantization and operator-theoretic frameworks
• Interactions between geometry, analysis, and dynamics

Aims and Scope

The journal is devoted to the publication of high-quality research articles in quantization theory, dynamical systems, and their interactions with analysis, geometry, and probability.

Quantization
• Discrete approximation of measures and distributions
• Optimal sets, quantization errors, and asymptotic behavior
• Geometric and constrained quantization problems
• Quantization for discrete, continuous, and fractal distributions
• Applications of quantization in analysis and probability

Dynamical Systems
• Topological, smooth, and measurable dynamics
• Ergodic theory and invariant measures
• Symbolic dynamics and iterative systems
• Qualitative theory, stability, and bifurcations
• Complex and holomorphic dynamics (Julia sets, Fatou sets, rational and transcendental maps)
• Dynamics in one and several complex variables

Related Themes
• Fractal geometry and self-similar constructions
• Spectral measures and harmonic analysis
• Operator theory and functional-analytic methods
• Geometric measure theory and analysis on metric spaces
• Interactions between geometry, probability, and dynamics

Topics Covered
• Dynamical systems (discrete and continuous)
• Ergodic theory and statistical behavior
• Quantization (geometric, functional, and probabilistic)
• Operator theory and spectral analysis
• Fractal geometry and dimension theory
• Harmonic and functional analysis
• Complex and holomorphic dynamics
• Measure-theoretic and topological dynamics
• Mathematical aspects of chaos

Typical Contributions
• Original theorems and rigorous proofs
• Development of abstract mathematical structures
• Foundational advances in theory
• Conceptual frameworks with long-term mathematical impact

Mission
JQDS reflects the broader vision of the International Society in Quantization, Geometry, and Dynamics (ISQGD): to advance mathematics through rigorous scholarship, global collaboration, and the dissemination of deep theoretical ideas across interconnected fields.