About the Journal
The ISQGD Journal of Quantization and Dynamical Systems (JQDS) is an international, peer-reviewed scholarly journal publishing original research articles, survey papers, and expository contributions in quantization, dynamical systems, and related areas of mathematics. The journal also welcomes work connecting these fields with analysis, geometry, operator theory, probability, mathematical physics, and interdisciplinary applications.
JQDS is published by the International Society for Quality Growth and Development (ISQGD), Houston, Texas, USA. The journal provides a forum for rigorous theoretical and applied research, with particular emphasis on the interplay among quantization, dynamical systems, spectral theory, geometric structures, and related areas of mathematical analysis.
The journal seeks to foster international scholarly exchange by promoting original ideas, rigorous mathematical results, and meaningful connections among quantization theory, dynamical systems, geometry, analysis, mathematical physics, and related disciplines.
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 among quantization, dynamical systems, geometry, and analysis, as well as contributions exploring emerging directions and interdisciplinary applications.
Peer Review and Editorial Independence
Manuscripts submitted to the journal are evaluated through an editorial and peer-review process designed to maintain academic quality, fairness, scholarly rigor, and independence.
Each submission is initially assessed by the Editor-in-Chief or by a member of the editorial team specifically authorized by the Editor-in-Chief for suitability within the journal’s scope and for compliance with basic scholarly and ethical standards. Manuscripts considered suitable for further evaluation are assigned to an appropriate Editor and, as appropriate, to qualified reviewers with relevant subject expertise.
Editorial evaluation may include substantive scholarly assessment by members of the editorial team, together with reports from independently selected reviewers, as appropriate to the manuscript and the needs of the review process.
The selection of Editors and reviewers is an editorial responsibility. Authors should not attempt to influence the assignment of a particular Editor or reviewer. Editorial assignments and reviewer selection are made on the basis of subject expertise, availability, independence, and the needs of the manuscript and the review process.
Editors and reviewers are expected to disclose any actual or potential conflict of interest that could affect, or reasonably appear to affect, the impartiality of the evaluation. When appropriate, the Editor-in-Chief may reassign a manuscript, appoint additional reviewers, or take other measures necessary to preserve the integrity and independence of the editorial process.
Editorial decisions are based on the scholarly quality, originality, relevance, clarity, and contribution of the manuscript, together with the evaluations obtained during the editorial and peer-review process. Personal relationships, institutional affiliations, nationality, or other considerations unrelated to the scholarly merits of the work must not influence editorial decisions.
The Editor-in-Chief retains overall responsibility for the integrity and proper administration of the journal’s editorial and peer-review process.