Mathematical Physics Analysis and Geometry

期刊简介：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.

【译文】MPAG是一本经过同行评审的期刊，分为多个部分。每个部分都是编辑独立的，为各自领域的研究文章提供了一个高级论坛。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。概率与统计物理部分专注于在统计物理中出现的概率模型和空间随机过程。例如：相互作用粒子系统、非平衡统计力学、可积概率、随机图和渗流、临界现象和共形理论。概率论和统计物理在数学其他领域的应用，如分析（随机pde's）、随机几何、组合方面也得到探讨。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。本部分涵盖的主题包括：经典和代数量子场论、变形和几何量子化、指标理论、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）、多体量子物理及其在凝聚态理论中的应用、量子理论中出现的偏微分方程、量子格子系统、物质的拓扑相、平衡和非平衡量子统计力学、多尺度分析、严格的重整化群。