Article
Mathematics
Wieslaw Sliwa
Summary: We prove that in an infinite-dimensional Banach space E over a non-Archimedean field K, every operator is a commutator if the valuation of K is discrete (especially if K is locally compact) or if E has an orthogonal basis (especially if E is of countable type).
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS
(2022)
Article
Physics, Multidisciplinary
Md Fazlul Hoque, Libor Snobl
Summary: In this paper, the construction of all nonstandard integrable systems in magnetic fields is presented. These systems have integrals with leading order structure corresponding to the case (i) of theorem 1 in Marchesiello and Snobl (2022 J. Phys. A: Math. Theor. 55 145203). The resulting systems can be written as one family with several parameters. For certain limits of these parameters, the system becomes minimally superintegrable by belonging to intersections with already known standard systems in Cartesian and/or cylindrical coordinates, and the number of independent integrals of motion increases. These results generalize a particular example presented in section 3 of Marchesiello and Snobl (2022 J. Phys. A: Math. Theor. 55 145203).
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2023)
Article
Engineering, Ocean
Hui Jiang, Xiaoyu Bai, Guangsong Song, Meng Luo, Xinyi Ma
Summary: A realistic multivariate model for extreme ocean parameters was developed using the ECDF-Pareto method and mixed SAACs model, which demonstrated the ability to accurately model the statistical characteristics and dependence structures of pre-processed CWW data.
APPLIED OCEAN RESEARCH
(2021)
Article
Mathematics
Remi Reboulet
Summary: In this study, we examine the limits of non-Archimedean metrics on a projective K-variety X equipped with an ample line bundle L, and show that there is a one-to-one correspondence between equivalence classes of bounded graded norms and bounded plurisubharmonic metrics that are regularizable from below. This generalizes previous results and expands the understanding of the problem in a rather general case.
MATHEMATISCHE ZEITSCHRIFT
(2021)
Article
Mathematics, Applied
Lorenzo Fiaschi, Marco Cococcioni
Summary: This paper theoretically extends the Pure and Impure Prisoner's Dilemmas using the Grossone Methodology, and conducts numerical simulations using a Matlab simulator of the Infinity Computer. The effectiveness of the methodology is demonstrated in addressing complex problems and potentially performing computations in hardware, offering a new approach to model real-world scenarios.
APPLIED MATHEMATICS AND COMPUTATION
(2021)
Article
Physics, Multidisciplinary
Karl Svozil
Summary: This passage discusses extending Kolmogorov's axioms of probability theory to conditional probabilities among distinct contexts, which generalizes approaches to quantum probabilities.
Article
Physics, Multidisciplinary
Moritz F. Richter, Raphael Wiedenmann, Heinz-Peter Breuer
Summary: This article introduces a method of representing mixed quantum states using quasi-probability distributions and explains the influence of Kolmogorov distance between these distributions on the distinguishability of quantum states. A witness for non-Markovianity is also constructed and its performance is discussed in several examples.
NEW JOURNAL OF PHYSICS
(2022)
Article
Chemistry, Multidisciplinary
Lie Ma, Shijie Gao, Bo Chen, Yongkai Liu
Summary: In this study, we calculated the wavefront residual variance under the non-Kolmogorov turbulence model and derived the mathematical expression for the probability density function (PDF) of coupling efficiency (CE). The PDF was simulated and validated through experiments, showing robustness and accuracy.
APPLIED SCIENCES-BASEL
(2022)
Article
Management
Mehdi Toloo, Bohlool Ebrahimi, Gholam R. Amin
Summary: Several input-output classifier data envelopment analysis (DEA) models were developed to designate the status of flexible measures, with a focus on the role of non-Archimedean epsilon. The traditional epsilon-free models may ignore some flexible measures in the evaluation process, leading to randomly and inappropriately identified statuses. A new approach using epsilon-based classifier models was developed and applied to a case study in the Iranian Space Research Center, showing potential for practical applications.
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
(2021)
Article
Engineering, Multidisciplinary
Robin R. P. Callens, Matthias G. R. Faes, David Moens
Summary: This study introduces a novel method for modeling local explicit interval fields, which is more computationally efficient and conservative compared to global explicit interval fields, effectively representing local uncertainty.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2021)
Article
Robotics
Michele Ginesi, Paolo Fiorini
Summary: This paper proposes two generalizations of the ARHMM, one with a more general AR dynamics in Cartesian space and the other with linear dynamics in unit quaternion space to describe orientations. These extensions allow for the description of more complex dynamics of the observed state.
IEEE ROBOTICS AND AUTOMATION LETTERS
(2023)
Article
Engineering, Mechanical
Siu-Siu Guo, Fei-Fan Meng, Qingxuan Shi
Summary: This paper proposes an improved exponential polynomial closure (EPC) method to obtain the completely non-stationary probability density function (PDF) solution, which is distributed continuously in the time domain. The method introduces the temporal base function into the PDF approximation and determines the unknown coefficients using the least squares method. This implementation makes it possible to have continuous PDF distribution in the time domain, significantly improving computational efficiency.
PROBABILISTIC ENGINEERING MECHANICS
(2023)
Article
Chemistry, Physical
R. Ishizuka
Summary: The parameters of the Morse potential compatible with dissipative particle dynamics (DPD) for water were determined using the Ornstein-Zernike (OZ) equation with the hyper-netted chain (HNC) closure. The accuracy of the HNC approximation for a DPD system with soft repulsive and Morse potentials was verified. By mapping the radial distribution function (RDF) in the HNC approximation to all-atom simulations, the Morse potential parameters were determined for SPCE, TIP3P, TIP4P, and TIP5P water models in the DPD framework. The DPD simulations using the determined parameters successfully reproduced the first-peak positions and heights of the center-of-mass RDFs of all-atom water models.
JOURNAL OF MOLECULAR LIQUIDS
(2023)
Article
Physics, Multidisciplinary
Jiandong Mao, Yingnan Zhang, Juan Li, Xin Gong, Hu Zhao, Zhimin Rao
Summary: Based on residual turbulent scintillation theory, a Mie-scattering lidar method was developed to accurately detect atmospheric turbulence intensity. The method was applied to detect both Kolmogorov and non-Kolmogorov turbulence profiles, and the results were compared with the Hufnagel-Valley model, showing consistent trends.
Article
Management
Mark Versteyhe, Frederik Debrouwere
Summary: Scheduling under non-deterministic uncertainty is a complex problem due to the lack of consideration of uncertainty in current scheduling methods. Utilizing a realistic non-deterministic uncertainty model and explicitly incorporating it into optimization can improve scheduling performance and relevance. Incorporating more realistic uncertainty models into decision making enables a more accurate projection of project objectives and a better balance of risks and rewards.
JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY
(2021)
Article
Mathematics, Applied
Vieri Benci, Marco Ghimenti, Anna Maria Micheletti
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
(2012)
Review
Mathematics, Interdisciplinary Applications
Vieri Benci, Donato Fortunato
CHAOS SOLITONS & FRACTALS
(2014)
Article
Mathematics, Applied
Vieri Benci, Donato Fortunato
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS
(2012)
Article
Mathematics, Applied
Vieri Benci, Donato Fortunato
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS
(2014)
Article
Physics, Mathematical
Vieri Benci, Donato Fortunato
JOURNAL OF MATHEMATICAL PHYSICS
(2011)
Article
Mathematics
Vieri Benci, Lorenzo Luperi Baglini
MONATSHEFTE FUR MATHEMATIK
(2015)
Article
Mathematics, Applied
Vieri Benci, Donato Fortunato
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
(2012)
Article
Mathematics, Applied
Mohammed Al-Gwaiz, Vieri Benci, Filippo Gazzola
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
(2014)
Article
Mathematics, Applied
Vieri Benci, Lorenzo Luperi Baglini
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S
(2014)
Article
Mathematics, Applied
Vieri Benci
Summary: This paper introduces ultrafunctions and their definition and study on a Non Archimedean field, presents an improved concept of fine ultrafunctions, and provides applications of ultrafunctions in studying Partial Differential Equations, particularly in solving ill-posed evolution problems.
MILAN JOURNAL OF MATHEMATICS
(2022)
Article
Quantum Science & Technology
Vieri Benci, Lorenzo Luperi Baglini, Kyrylo Simonov
Article
Mathematics, Applied
Vieri Benci
ADVANCED NONLINEAR STUDIES
(2013)
Article
Mathematics, Applied
J. Bellazzini, V. Benci, C. Bonanno, E. Sinibaldi
DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS
(2013)
Article
Mathematics, Applied
Vieri Benci, Claudio Bonanno
ADVANCED NONLINEAR STUDIES
(2012)
