INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS

In the past few years the fields of infinite dimensional analysis and quantum probability have undergone increasingly significant developments and have found many new applications, in particular, to classical probability and to different branches of physics. The number of first-class papers in these fields has grown at the same rate. This is currently the only journal which is devoted to these fields.It constitutes an essential and central point of reference for the large number of mathematicians, mathematical physicists and other scientists who have been drawn into these areas. Both fields have strong interdisciplinary nature, with deep connection to, for example, classical probability, stochastic analysis, mathematical physics, operator algebras, irreversibility, ergodic theory and dynamical systems, quantum groups, classical and quantum stochastic geometry, quantum chaos, Dirichlet forms, harmonic analysis, quantum measurement, quantum computer, etc. The journal reflects this interdisciplinarity and welcomes high quality papers in all such related fields, particularly those which reveal connections with the main fields of this journal.The principal objective of this journal is to provide an up-to-date overview of the state-of-the-art in its fields of competence.Special issues devoted to single topic of particular current interest will also be published in this journal.

在过去几年中，无限维分析和量子概率领域得到了日益显著的发展，并发现了许多新的应用，特别是在古典概率和物理的不同分支中。这些领域的一流论文数量也以同样的速度增长。这是目前唯一一本专门研究这些领域的期刊。它为被吸引到这些领域的大量数学家、数学物理学家和其他科学家提供了一个必不可少的和中心的参考点。这两个领域都具有很强的跨学科性质，与经典概率论、随机分析、数学物理、算子代数、不可逆性、遍历理论与动力系统、量子群、经典与量子随机几何、量子混沌、狄利克雷形式、调和分析、量子测量、量子计算机等有着深刻的联系。该杂志反映了这种跨学科性，并欢迎在所有这些相关领域的高质量论文，特别是那些揭示了与该杂志的主要领域的联系的论文。这本杂志的主要目的是提供一个最新的概述，在其领域的最新的能力。专门讨论当前特别感兴趣的单一主题的特刊也将在本刊发表。