Article
Mathematical & Computational Biology
Hossein Jabbari Khamnei, Sajad Nikannia, Masood Fathi, Shahryar Ghorbani
Summary: This study aims to develop appropriate models for income distribution in Iran from 2006 to 2018 using the econophysics approach. The research results indicate that the income distribution in Iran does not follow the Pareto and Lognormal distributions in most years but follows the generalized Gibbs-Boltzmann distribution function. The generalized Gibbs-Boltzmann distribution fits the actual income data better than both Pareto and Lognormal distributions.
MATHEMATICAL BIOSCIENCES AND ENGINEERING
(2023)
Article
Physics, Fluids & Plasmas
Paulo H. dos Santos, Igor D. S. Siciliani, M. H. R. Tragtenberg
Summary: This study proposes a method based on theoretical and numerical optimization scheme to determine the crossover income, temperature, and index of income distribution. By analyzing Brazilian income distribution data, the study explores economic differences among different subsets and discusses the implications of income inequality on Brazil. The study also presents a measure of inequality that relies on the Pareto index and the percentage of people in the high-income region.
Article
Mathematics, Applied
Yao-jia Zhang, Tao Chen, Nan-jing Huang, Xue-song Li
Summary: In this study, we introduce and analyze the Euler scheme for solving SDVIs, showing its convergence under mild conditions. Furthermore, we apply this scheme in simulating electrical circuits with diodes and bridge collapse problems in stochastic environments.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2023)
Article
Engineering, Multidisciplinary
Hassen Arfaoui, A. Ben Makhlouf, Lassaad Mchiri, Mohamed Rhaima
Summary: In this article, the authors study the Finite-Time Stability (FTS) of Linear Stochastic Fractional Differential Equations of Ito-Doob Type with Delay (LSFDEIDTwD) for a derivative order q E (0, 1). The study investigates the stability of the LSFDEIDTwD in a finite-time domain [0, T] using the generalized Gronwall Inequality (GWI) and stochastic calculus theory. The main results are illustrated with two numerical examples.
ALEXANDRIA ENGINEERING JOURNAL
(2023)
Article
Mathematics, Applied
Thanin Sitthiwirattham, Muhammad Aamir Ali, Huseyin Budak, Saowaluck Chasreechai
Summary: This paper introduces the concepts of q-mean square integral for stochastic processes and co-ordinated stochastic processes, and establishes new quantum Hermite-Hadamard type inequalities for convex stochastic processes and co-ordinated stochastic processes using newly defined integrals. It is revealed that the results obtained in this research can be transformed into some already proven results by considering the limits as q, q(1), q(2) -> 1(-).
Article
Mathematics, Applied
Chahn Yong Jung, Muhammad Shoaib Saleem, Shamas Bilal, Waqas Nazeer, Mamoona Ghafoor
Summary: This paper discusses the definition of eta-convex stochastic processes, derives some basic properties, and establishes Jensen, Hermite-Hadamard, and Ostrowski type inequalities for eta-convex stochastic processes.
Article
Mathematics, Applied
Yao-jia Zhang, Tao Chen, Nan-jing Huang, Xue-song Li
Summary: The aim of this paper is to study the penalty method for solving a class of stochastic differential variational inequalities (SDVIs). The penalty problem for solving SDVIs is first constructed and the convergence of the sequences generated by the penalty problem is proved under some mild conditions. As an application, the convergence of the sequences generated by the penalty problem is obtained for solving a stochastic migration equilibrium problem with movement cost.
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
(2023)
Article
Economics
Brendan K. Beare, Alexis Akira Toda
Summary: This article presents new tools for studying the shape of the stationary distribution of sizes in a dynamic economic system. It explores the effects of random multiplicative shocks and occasional resets on the size distribution and the distribution of types.
Article
Physics, Multidisciplinary
Zi Cai
Summary: In this Letter, the mean-field dynamics of a general class of many-body systems with stochastically fluctuating interactions are studied, revealing a universal algebraic decay pattern. It is shown that such dynamics can be understood as a diffusive process with a time-dependent diffusion coefficient.
PHYSICAL REVIEW LETTERS
(2022)
Article
Mathematics, Applied
Haoliang Fu, Muhammad Shoaib Saleem, Waqas Nazeer, Mamoona Ghafoor, Peigen Li
Summary: This note introduces the concept of n-polynomial convex stochastic processes and studies their algebraic properties, including new refinements for inequalities and extensions of Hermite-Hadamard type inequalities. Various mean and integral inequalities are used for the analysis, with a comparison of the obtained results.
Article
Computer Science, Information Systems
Yingxin Guo, Shuzhi Sam Ge, Jianting Fu, Chao Xu
Summary: This study investigates the stability and stabilization of switched stochastic systems with saturation control using various methods including parameter variation and direct computation. Sufficient conditions for stability were obtained through Gronwall inequality and matrix theory, as well as norms like row norm, column norm, and Frobenius norm. Two examples were used to illustrate the accuracy and effectiveness of the results. Various control designs were observed, differing from the technique of linear matrix inequalities.
SCIENCE CHINA-INFORMATION SCIENCES
(2021)
Article
Mathematics, Applied
Waqar Afzal, Thongchai Botmart
Summary: Convex and non-convex functions are crucial in optimization, and convexity also plays a significant role in discussing inequalities. There is a deep connection between convexity and stochastic processes, offering a new perspective on the study of inequality.
Article
Mathematics, Applied
Waqar Afzal, Sayed M. Eldin, Waqas Nazeer, Ahmed M. Galal
Summary: An important aspect of optimization is considering convex and non-convex functions, and the connection between convexity and stochastic processes cannot be ignored. Stochastic processes, also known as random processes, are collections of randomly generated variables supported by mathematical indicators. Our research introduces a new stochastic process for center-radius (cr) order based on harmonic h-Godunova-Levin (GL) in the context of interval-valued functions (IVFS). Using interesting examples, we establish variants of Hermite-Hadamard (`-(.`-() type) inequalities for generalized interval-valued harmonic cr-h-Godunova-Levin stochastic processes.
Article
Mathematics
Domenico Scopelliti
Summary: In this paper, we analyze a class of multistage stochastic hierarchical problems using the multistage stochastic approach. The key of this problem lies in nonanticipativity and the inclusion of constraints to account for progressively revealed information. The method can be applied to study real-world problems with hierarchical decision processes, and has been used in the analysis of a Single-Leader-Multi-Follower game.
Article
Multidisciplinary Sciences
Mohamed Rhaima, Lassaad Mchiri, Abdellatif Ben Makhlouf
Summary: This paper investigates the existence and uniqueness properties of a class of fractional Hadamard Ito-Doob stochastic integral equations (FHIDSIE). The Picard iteration technique is used to establish these properties and unveil the averaging principle within FHIDSIE.
Article
Physics, Condensed Matter
Victor M. Yakovenko
PHYSICA B-CONDENSED MATTER
(2015)
Article
Materials Science, Multidisciplinary
Sergey S. Pershoguba, D. S. L. Abergel, Victor M. Yakovenko, A. V. Balatsky
Article
Physics, Multidisciplinary
Victor M. Yakovenko
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS
(2016)
Review
Multidisciplinary Sciences
Safa Motesharrei, Jorge Rivas, Eugenia Kalnay, Ghassem R. Asrar, Antonio J. Busalacchi, Robert F. Cahalan, Mark A. Cane, Rita R. Colwell, Kuishuang Feng, Rachel S. Franklin, Klaus Hubacek, Fernando Miralles-Wilhelm, Takemasa Miyoshi, Matthias Ruth, Roald Sagdeev, Adel Shirmohammadi, Jagadish Shukla, Jelena Srebric, Victor M. Yakovenko, Ning Zeng
NATIONAL SCIENCE REVIEW
(2016)
Article
Multidisciplinary Sciences
Xinxin Gong, Mehdi Kargarian, Alex Stern, Di Yue, Hexin Zhou, Xiaofeng Jin, Victor M. Galitski, Victor M. Yakovenko, Jing Xia
Article
Physics, Multidisciplinary
Lance Boyer, Victor M. Yakovenko
Correction
Physics, Multidisciplinary
Sergey S. Pershoguba, Kostyantyn Kechedzhi, Victor M. Yakovenko
PHYSICAL REVIEW LETTERS
(2014)
Article
Physics, Multidisciplinary
Morteza Kayyalha, Mehdi Kargarian, Aleksandr Kazakov, Ireneusz Miotkowski, Victor M. Galitski, Victor M. Yakovenko, Leonid P. Rokhinson, Yong P. Chen
PHYSICAL REVIEW LETTERS
(2019)
Article
Multidisciplinary Sciences
Seunghun Lee, Valentin Stanev, Xiaohang Zhang, Drew Stasak, Jack Flowers, Joshua S. Higgins, Sheng Dai, Thomas Blum, Xiaoqing Pan, Victor M. Yakovenko, Johnpierre Paglione, Richard L. Greene, Victor Galitski, Ichiro Takeuchi
Article
Physics, Multidisciplinary
P. M. R. Brydon, D. S. L. Abergel, D. F. Agterberg, Victor M. Yakovenko
Article
Green & Sustainable Science & Technology
Gregor Semieniuk, Victor M. Yakovenko
JOURNAL OF CLEANER PRODUCTION
(2020)
Article
Materials Science, Multidisciplinary
Sergey S. Pershoguba, Victor M. Yakovenko
Summary: The research examines the interaction between Chern insulators and circularly polarized light, proposing an experimental protocol for switching topological memory based on orbital magnetization by circularly polarized light, and generating optically configurable domain walls carrying topologically protected chiral edge modes through two laser beams of opposite circular polarization.
Article
Economics
Yong Tao, Xiangjun Wu, Tao Zhou, Weibo Yan, Yanyuxiang Huang, Han Yu, Benedict Mondal, Victor M. Yakovenko
JOURNAL OF ECONOMIC INTERACTION AND COORDINATION
(2019)
Article
Materials Science, Multidisciplinary
Girish Sharma, Sumanta Tewari, Pallab Goswami, Victor M. Yakovenko, Sudip Chakravarty