Journal Title：Mathematical Physics Analysis And Geometry

MPAG is a peer-reviewed journal organized in sections. Each section is editorially independent and provides a high forum for research articles in the respective areas.

The entire editorial board commits itself to combine the requirements of an accurate and fast refereeing process.

The section on Probability and Statistical Physics focuses on probabilistic models and spatial stochastic processes arising in statistical physics. Examples include: interacting particle systems, non-equilibrium statistical mechanics, integrable probability, random graphs and percolation, critical phenomena and conformal theories. Applications of probability theory and statistical physics to other areas of mathematics, such as analysis (stochastic pde's), random geometry, combinatorial aspects are also addressed.

The section on Quantum Theory publishes research papers on developments in geometry, probability and analysis that are relevant to quantum theory. Topics that are covered in this section include: classical and algebraic quantum field theories, deformation and geometric quantisation, index theory, Lie algebras and Hopf algebras, non-commutative geometry, spectral theory for quantum systems, disordered quantum systems (Anderson localization, quantum diffusion), many-body quantum physics with applications to condensed matter theory, partial differential equations emerging from quantum theory, quantum lattice systems, topological phases of matter, equilibrium and non-equilibrium quantum statistical mechanics, multiscale analysis, rigorous renormalisation group.

MPAG 是按章节组织的同行评审期刊。每个部分在编辑上都是独立的，并为各自领域的研究文章提供了一个高论坛。

整个编辑委员会致力于结合准确和快速的审稿过程的要求。

概率和统计物理学部分侧重于统计物理学中出现的概率模型和空间随机过程。例子包括：相互作用的粒子系统、非平衡统计力学、可积概率、随机图和渗透、临界现象和保形理论。还讨论了概率论和统计物理学在其他数学领域的应用，例如分析（随机 pde）、随机几何、组合方面。

量子理论部分发表与量子理论相关的几何、概率和分析发展的研究论文。本节涵盖的主题包括：经典和代数量子场论、变形和几何量化、指数理论、李代数和 Hopf 代数、非交换几何、量子系统的谱理论、无序量子系统（安德森局域化、量子扩散)，多体量子物理学与凝聚态物质理论的应用，量子理论产生的偏微分方程，量子晶格系统，物质的拓扑相，平衡和非平衡量子统计力学，多尺度分析，严格重整化群。