Stochastics and Dynamics

Top Research Topics at Stochastics and Dynamics?

The topics of Mathematical analysis, Applied mathematics, Stochastic differential equation, Pure mathematics and Stochastic partial differential equation are the focal point of discussions in Stochastics and Dynamics. The concepts on Mathematical analysis presented in Stochastics and Dynamics can also apply to other research fields, including Fractional Brownian motion, Brownian motion and Dynamical systems theory. In the journal, Class (set theory), Mathematical optimization and Nonlinear system are investigated in conjunction with one another to address concerns in Applied mathematics research.

While work presented in it provided substantial information on Stochastic differential equation, it also covered topics in Geometric Brownian motion and Type (model theory). Geometric Brownian motion studies tackled cover an aspect of the field of Diffusion process. Ergodic theory is a key component of Pure mathematics research discussed in it.

The research on Ergodic theory discussed in Stochastics and Dynamics draws on the closely related field of Discrete mathematics. The journal features research on Stochastic partial differential equation in an attempt to reinforce studies in the field of Differential equation. The work on Attractor addressed in Stochastics and Dynamics expands to the thematically related Random dynamical system.

• Mathematical analysis (46.90%)
• Applied mathematics (21.32%)
• Stochastic differential equation (17.96%)

What are the most cited papers published in the journal?

• LOCAL LIMIT THEOREMS FOR PARTIAL SUMS OF STATIONARY SEQUENCES GENERATED BY GIBBS–MARKOV MAPS (235 citations)
• ATTRACTORS FOR STOCHASTIC LATTICE DYNAMICAL SYSTEMS (217 citations)
• FRACTIONAL BROWNIAN MOTION AND STOCHASTIC EQUATIONS IN HILBERT SPACES (150 citations)

Research areas of the most cited articles at Stochastics and Dynamics:

The published articles aim to foster the development of research in Mathematical analysis, Stochastic differential equation, Uniqueness, Pure mathematics and Stochastic partial differential equation. The published papers hold forums on Mathematical analysis that merge themes from other disciplines such as Geometric Brownian motion and Fractional Brownian motion, Brownian motion. The most cited publications explore issues in Pure mathematics which can be linked to other research areas like Discrete mathematics and Central limit theorem.

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

• Mathematical analysis
• Statistics
• Algebra

The previous edition focused in particular on these issues:

The journal covers a variety of subjects, including Mathematical analysis, Applied mathematics, Pure mathematics, Stochastic differential equation and Stochastic partial differential equation. Stochastics and Dynamics explores topics in Mathematical analysis which can be helpful for research in disciplines like Fractional Brownian motion, Brownian motion and Jump. While Stochastics and Dynamics focused on Fractional Brownian motion, it was also able to explore topics like Hölder condition, Stochastic evolution, Fractional calculus and Malliavin calculus.

The studies in Applied mathematics featured incorporate elements of Multiplicative function, Partial differential equation, Impulse (physics), Class (set theory) and Nonlinear system. Hausdorff dimension is a major topic of Pure mathematics research. The journal holds forums on Stochastic differential equation that merges themes from other disciplines such as Mean field theory and Stability (probability).

The most cited articles from the last journal are:

• Mean exit time and escape probability for the stochastic logistic growth model with multiplicative α-stable Lévy noise (7 citations)
• Extended Backward Stochastic Volterra Integral Equations, Quasilinear Parabolic Equations, and Feynman-Kac Formula (7 citations)
• C∞− regularization of ODEs perturbed by noise (5 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.

Top authors and change over time

The top authors publishing in Stochastics and Dynamics (based on the number of publications) are:

• Peter E. Kloeden (11 papers) absent at the last edition,
• Jinqiao Duan (9 papers) published 1 paper at the last edition,
• Artur O. Lopes (9 papers) absent at the last edition,
• Youssef Ouknine (8 papers) published 2 papers at the last edition,
• Mark Freidlin (8 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.

Top affiliations and change over time

Only papers with recognized affiliations are considered

The top affiliations publishing in Stochastics and Dynamics (based on the number of publications) are:

• Huazhong University of Science and Technology (32 papers) published 4 papers at the last edition, 2 more than at the previous edition,
• Technical University of Berlin (15 papers) absent at the last edition,
• Humboldt University of Berlin (14 papers) absent at the last edition,
• University of Maryland, College Park (14 papers) absent at the last edition,
• Universidade Federal do Rio Grande do Sul (14 papers) published 1 paper at the last 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, 2.74% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 9.86% were posted by at least one author from the top 10 institutions publishing in the journal. Another 9.86% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 23.94% of all publications and 56.34% 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.