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Infinite Dimensional Analysis, Quantum Probability and Related Topics
H-index 5

Infinite Dimensional Analysis, Quantum Probability and Related Topics

0219-0257

Published by: World Scientific

https://www.worldscientific.com/worldscinet/idaqp

Ranking & Metrics

Discipline name Position Best Scientists Publications D-Index
Mathematics 508 14 27 5

Additional Metrics

Number of Best Scientists*: 16
Documents by Best Scientists*: 29
Top 100 Ranked Scientists*: 2
SCIMAGO H-index: 34
SCIMAGO SJR: 0.4
Impact Factor: N/A

Overview

Top Research Topics at Infinite Dimensional Analysis, Quantum Probability and Related Topics?

The aim of the journal is to expand the discussion of research in Mathematical analysis, Pure mathematics, Discrete mathematics, Algebra and Combinatorics. While Mathematical analysis is the focus of Infinite Dimensional Analysis, Quantum Probability and Related Topics, it also provided insights into the studies of White noise and Mathematical physics. Some problems in Pure mathematics that were presented in it overlapped with concepts under Quantum, Type (model theory), Fock space and Markov chain.

In it, Central limit theorem, Monotone polygon and Hilbert space are investigated in conjunction with one another to address concerns in Discrete mathematics research.

  • Mathematical analysis (31.44%)
  • Pure mathematics (30.14%)
  • Discrete mathematics (18.24%)

What are the most cited papers published in the journal?

  • FRACTIONAL WHITE NOISE CALCULUS AND APPLICATIONS TO FINANCE (330 citations)
  • QUADRATIC STOCHASTIC OPERATORS AND PROCESSES: RESULTS AND OPEN PROBLEMS (162 citations)
  • Interacting Fock Spaces and Gaussianization of Probability Measures (151 citations)

Research areas of the most cited articles at Infinite Dimensional Analysis, Quantum Probability and Related Topics:

The published articles focus on Mathematical analysis, Pure mathematics, Discrete mathematics, Algebra and Markov chain. While work presented in the most cited publications provide substantial information on Mathematical analysis, it also covers topics in Generalized relative entropy and Statistical physics. The journal papers focus on Pure mathematics but the discussions also offer insight into other areas such as White noise, Type (model theory), Bounded function and Constant (mathematics).

What topics the last edition of the journal is best known for?

  • Quantum mechanics
  • Mathematical analysis
  • Algebra

The previous edition focused in particular on these issues:

The topics of Pure mathematics, Mathematical physics, Applied mathematics, Quantum and Unitary state are the focal point of discussions in Infinite Dimensional Analysis, Quantum Probability and Related Topics. The studies on Pure mathematics discussed can also contribute to research in the domains of Subsequential limit and Dual (category theory). The Mathematical physics works featured in Infinite Dimensional Analysis, Quantum Probability and Related Topics incorporate elements from Fractional Brownian motion, Fractional calculus, Heat equation, Inverse operator and Harmonic oscillator.

The featured Applied mathematics works encompass concepts such as Stochastic differential equation and examines them in conjunction with Path independence and Property (philosophy). Concepts in Normalization (statistics), as well as related topics in Statistical physics, are covered in the Quantum research presented in Infinite Dimensional Analysis, Quantum Probability and Related Topics. The research on Unitary state featured in Infinite Dimensional Analysis, Quantum Probability and Related Topics combines topics in other fields like Homogeneous space, Brownian motion, Separable hilbert space, Orbit (control theory) and Product (mathematics).

The most cited articles from the last journal are:

  • Quantum Aitchison geometry (3 citations)
  • Generalized Bernoulli Wick differential equation (1 citations)
  • A note concerning Marcinkiewicz integral with rough kernel (1 citations)

Papers citation over time

A key indicator for each journal is its effectiveness in reaching other researchers with the papers published at that venue.

The chart below presents the interquartile range (first quartile 25%, median 50% and third quartile 75%) of the number of citations of articles over time.

The top authors publishing in Infinite Dimensional Analysis, Quantum Probability and Related Topics (based on the number of publications) are:

  • Luigi Accardi (54 papers) absent at the last edition,
  • Michael Röckner (17 papers) published 1 paper at the last edition,
  • Un Cig Ji (17 papers) absent at the last edition,
  • Kimiaki Saitô (13 papers) absent at the last edition,
  • Sergio Albeverio (13 papers) absent at the last edition.

The overall trend for top authors publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top authors.

Only papers with recognized affiliations are considered

The top affiliations publishing in Infinite Dimensional Analysis, Quantum Probability and Related Topics (based on the number of publications) are:

  • University of Rome Tor Vergata (59 papers) absent at the last edition,
  • Bielefeld University (31 papers) published 1 paper at the last edition,
  • Moscow State University (26 papers) absent at the last edition,
  • University of Wrocław (25 papers) absent at the last edition,
  • Tunis University (24 papers) published 2 papers at the last edition, 1 more than at the previous edition.

The overall trend for top affiliations publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top affiliations.

Publication chance based on affiliation

The publication chance index shows the ratio of articles published by the best research institutions in the journal edition to all articles published within that journal. The best research institutions were selected based on the largest number of articles published during all editions of the journal.

The chart below presents the percentage ratio of articles from top institutions (based on their ranking of total papers).Top affiliations were grouped by their rank into the following tiers: top 1-10, top 11-20, top 21-50, and top 51+. Only articles with a recognized affiliation are considered.

During the most recent 2021 edition, 10.53% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 17.65% were posted by at least one author from the top 10 institutions publishing in the journal. Another 17.65% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 0.00% of all publications and 64.71% were from other institutions.

Returning Authors Index

A very common phenomenon observed among researchers publishing scientific articles is the intentional selection of journals they have already attended in the past. In particular, it is worth analyzing the case when the authors participate in the same journal from year to year.

The Returning Authors Index presented below illustrates the ratio of authors who participated in both a given as well as the previous edition of the journal in relation to all participants in a given year.

Returning Institution Index

The graph below shows the Returning Institution Index, illustrating the ratio of institutions that participated in both a given and the previous edition of the conference in relation to all affiliations present in a given year.

The experience to innovation index

Our experience to innovation index was created to show a cross-section of the experience level of authors publishing in a journal. The index includes the authors publishing at the last edition of a journal, grouped by total number of publications throughout their academic career (P) and the total number of citations of these publications ever received (C).

The group intervals were selected empirically to best show the diversity of the authors' experiences, their labels were selected as a convenience, not as judgment. The authors were divided into the following groups:

  • Novice - P < 5 or C < 25 (the number of publications less than 5 or the number of citations less than 25),
  • Competent - P < 10 or C < 100 (the number of publications less than 10 or the number of citations less than 100),
  • Experienced - P < 25 or C < 625 (the number of publications less than 25 or the number of citations less than 625),
  • Master - P < 50 or C < 2500 (the number of publications less than 50 or the number of citations less than 2500),
  • Star - P ≥ 50 and C ≥ 2500 (both the number of publications greater than 50 and the number of citations greater than 2500).

The chart below illustrates experience levels of first authors in cases of publications with multiple authors.

Top Publications

  • Quantum Markov chains: A unification approach

    Luigi Accardi;Abdessatar Souissi;Abdessatar Souissi;El Gheteb Soueidy

    (2020)
    29 Citations
  • Space-distribution PDEs for path independent additive functionals of McKean–Vlasov SDEs

    Panpan Ren;Feng-Yu Wang;Feng-Yu Wang

    (2020)
    20 Citations
  • The quantum moment problem for a classical random variable and a classification of interacting Fock spaces

    (2022)
    7 Citations
  • Quantum Strassen’s theorem

    Shmuel Friedland;Jingtong Ge;Jingtong Ge;Lihong Zhi

    (2020)
    7 Citations
  • Stochastic version of Henry type Gronwall’s inequality

    Slimane Mekki;Juan J. Nieto;Abdelghani Ouahab

    (2021)
    6 Citations
  • White noise delta functions and infinite-dimensional Laplacians

    Luigi Accardi;Ai Hasegawa;Un Cig Ji;Kimiaki Saitô

    (2020)
    5 Citations
  • Sensitivity analysis in the infinite dimensional Heston model

    Fred Espen Benth;Giulia Di Nunno;Giulia Di Nunno;Iben Cathrine Simonsen

    (2021)
    5 Citations
  • Quasi-invariant states

    (2022)
    2 Citations
  • Operator-Valued Gaussian Processes and Their Covariance Kernels

    (2023)
    2 Citations
  • Hidden Quantum Markov processes

    (2024)
    1 Citations

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Best Scientists Contributing to This Journal