About the Journal
The ISQGD Journal of Quantization and Dynamical Systems is an international, peer-reviewed scholarly journal dedicated to publishing high-quality research in quantization, dynamical systems, and their interactions with analysis, geometry, operator theory, and related areas of mathematics.
Published by the International Society in Quantization, Geometry, and Dynamics (ISQGD), a U.S.-based IRS-recognized 501(c)(3) public charity and nonprofit, community-driven global society, the journal is committed to advancing mathematics from K–12 education to frontier research through international collaboration, scholarly exchange, and educational outreach.
The journal provides a modern and rigorous platform for both theoretical and applied research, with particular emphasis on the interplay between quantization, dynamical systems, spectral theory, and geometric structures. It welcomes contributions that explore emerging directions and interdisciplinary connections across mathematics, mathematical physics, and related fields.
The ISQGD Journal of Quantization and Dynamical Systems aims to foster a vibrant global research community by promoting innovative ideas, deep mathematical insight, and meaningful applications in quantization and dynamical systems.
Aims and Scope
The journal welcomes original research articles, survey papers, and high-quality expository contributions in quantization, dynamical systems, and closely related areas of mathematics, including but not limited to:
Quantization and Mathematical Foundations
- Classical and quantum quantization
- Geometric and deformation quantization
- Semiclassical analysis
- Operator algebras and noncommutative geometry
Dynamical Systems and Ergodic Theory
- Discrete and continuous dynamical systems
- Ergodic theory and invariant measures
- Symbolic dynamics
- Hyperbolic dynamics and chaos
- Topological and measurable dynamics
Spectral and Functional Analysis
- Spectral theory of operators
- Harmonic analysis
- Functional analysis and operator theory
- Evolution equations and semigroups
- Connections with mathematical physics
Geometry and Dynamical Structures
- Differential and symplectic geometry
- Geometric structures in dynamics
- Fractal geometry and dimension theory
- Metric geometry and geometric analysis
Applications and Interdisciplinary Directions
- Dynamical systems in physics and engineering
- Mathematical aspects of quantum mechanics
- Control theory and dynamical modeling
- Applications to data science and complex systems
- Interactions with probability and stochastic dynamics
The journal particularly encourages submissions that highlight the interplay between quantization, dynamical systems, geometry, and analysis, as well as contributions that explore emerging directions and interdisciplinary applications, in alignment with the broader mission of International Society in Quantization, Geometry, and Dynamics.
