Infinite Dimensional Analysis, Quantum Probability and Related Topics

Aims & Scope

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.

View Aims & Scope

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Metrics & Ranking

Journal Rank

Year	Value
2024	13785

Journal Citation Indicator

Year	Value
2024	66

SJR (SCImago Journal Rank)

Year	Value
2024	0.400

Quartile

Year	Value
2024	Q3

h-index

Year	Value
2024	34

Impact Factor

Year	Value
2024	0.60

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Abstracting & Indexing

Journal is indexed in leading academic databases, ensuring global visibility and accessibility of our peer-reviewed research.

• Scopus
• Google Scholar
• Web of Science

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Subjects & Keywords

Journal’s research areas, covering key disciplines and specialized sub-topics in Mathematics and Physics and Astronomy, designed to support cutting-edge academic discovery.

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Most Cited Articles

The Most Cited Articles section features the journal's most impactful research, based on citation counts. These articles have been referenced frequently by other researchers, indicating their significant contribution to their respective fields.

• FRACTIONAL WHITE NOISE CALCULUS AND APPLICATIONS TO FINANCE

  Citation: 326

  Authors: YAOZHONG, BERNT

• QUADRATIC STOCHASTIC OPERATORS AND PROCESSES: RESULTS AND OPEN PROBLEMS

  Citation: 161

  Authors: RASUL, FARRUKH, UTKIR

• Interacting Fock Spaces and Gaussianization of Probability Measures

  Citation: 112

  Authors: Luigi, Marek

• HARMONIC ANALYSIS ON CONFIGURATION SPACE I: GENERAL THEORY

  Citation: 102

  Authors: YURI G., TOBIAS

• MONOTONIC INDEPENDENCE, MONOTONIC CENTRAL LIMIT THEOREM AND MONOTONIC LAW OF SMALL NUMBERS

  Citation: 79

  Authors: NAOFUMI

• Analysis on Poisson and Gamma Spaces

  Citation: 65

  Authors: Yuri G., José L., Ludwig, Georgi F.

• GENERATORS OF DETAILED BALANCE QUANTUM MARKOV SEMIGROUPS

  Citation: 63

  Authors: FRANCO, VERONICA

• CORRELATION FUNCTIONS AND INVARIANT MEASURES IN CONTINUOUS CONTACT MODEL

  Citation: 56

  Authors: YURI, OLEKSANDR, SERGEY

• TENSOR PRODUCT SYSTEMS OF HILBERT MODULES AND DILATIONS OF COMPLETELY POSITIVE SEMIGROUPS

  Citation: 55

  Authors: B. V. RAJARAMA, MICHAEL

• THE FIVE INDEPENDENCES AS NATURAL PRODUCTS

  Citation: 54

  Authors: NAOFUMI

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