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.
在过去的几年里,无限维分析和量子概率领域经历了越来越显著的发展,并发现了许多新的应用,特别是经典概率和物理学的不同分支。这些领域的一流论文数量也以同样的速度增长。这是目前唯一的杂志是致力于这些领域。它构成了一个重要的和中心的参考点,为大量的数学家,数学物理学家和其他科学家谁已被吸引到这些领域。这两个领域都有很强的跨学科性质,与例如经典概率、随机分析、数学物理、算子代数、不可逆性、遍历理论和动力学系统、量子群、经典和量子随机几何、量子混沌、狄利克雷形式、谐波分析、量子测量、量子计算机该杂志反映了这种跨学科性,并欢迎所有相关领域的高质量论文,特别是那些揭示与本杂志主要领域联系的论文。
Ergodicity of 3D Leray-α model with fractional dissipation and degenerate stochastic forcing
来源期刊:Infinite Dimensional Analysis, Quantum Probability and Related TopicsDOI:10.1142/S0219025719500024
Stochastic Navier–Stokes equations perturbed by Lévy noise with hereditary viscosity
来源期刊:Infinite Dimensional Analysis, Quantum Probability and Related TopicsDOI:10.1142/S0219025719500061
Irreversible quantum evolution with quadratic generator: Review
来源期刊:Infinite Dimensional Analysis, Quantum Probability and Related TopicsDOI:10.1142/S0219025719300019
Asymptotics of Gaussian integrals in infinite dimensions
来源期刊:Infinite Dimensional Analysis, Quantum Probability and Related TopicsDOI:10.1142/S0219025719500048
The linear stochastic heat equation with Hermite noise
来源期刊:Infinite Dimensional Analysis, Quantum Probability and Related TopicsDOI:10.1142/s021902571950022x
Titchmarsh–Weyl theory for q-Dirac systems
来源期刊:Infinite Dimensional Analysis, Quantum Probability and Related TopicsDOI:10.1142/S0219025719500103
Tensor Bogolyubov representations of the renormalized square of white noise (RSWN) algebra
来源期刊:Infinite Dimensional Analysis, Quantum Probability and Related TopicsDOI:10.1142/s0219025719500255
Structure and block representation for circulant quantum processes
来源期刊:Infinite Dimensional Analysis, Quantum Probability and Related TopicsDOI:10.1142/s0219025719500176
A new family of polyno-expo-trigonometric distributions with applications
来源期刊:Infinite Dimensional Analysis, Quantum Probability and Related TopicsDOI:10.1142/S0219025719500279
A characterization of probability measures in terms of semi-quantum operators
来源期刊:Infinite Dimensional Analysis, Quantum Probability and Related TopicsDOI:10.1142/S0219025719500097
Characterization of S-transform for general construction of infinite-dimensional distributions
来源期刊:Infinite Dimensional Analysis, Quantum Probability and Related TopicsDOI:10.1142/S0219025719500152
Factorization of an adjontable Markov operator
来源期刊:Infinite Dimensional Analysis, Quantum Probability and Related TopicsDOI:10.1142/S0219025719500139
Weak Poincaré inequalities for convolution probabilities measures
来源期刊:Infinite Dimensional Analysis, Quantum Probability and Related TopicsDOI:10.1142/s021902571950019x
A characterization of quantum Markov semigroups of weak coupling limit type
来源期刊:Infinite Dimensional Analysis, Quantum Probability and Related TopicsDOI:10.1142/S0219025719500085
A stochastic Gronwall lemma revisited
来源期刊:Infinite Dimensional Analysis, Quantum Probability and Related TopicsDOI:10.1142/S0219025719500073
An approximation property for operator systems
来源期刊:Infinite Dimensional Analysis, Quantum Probability and Related TopicsDOI:10.1142/S021902571950005X
Olshanski spherical pairs of semigroups type
来源期刊:Infinite Dimensional Analysis, Quantum Probability and Related TopicsDOI:10.1142/s0219025719500218