Article
Mathematics, Applied
Juhi Jang, Igor Kukavica, Linfeng Li
Summary: This paper addresses the Mach limit problem for the Euler equations in an exterior domain with an analytic boundary. The authors prove the existence of tangential analytic vector fields and introduce an analytic norm for the exterior domain. They also demonstrate the uniform boundedness of solutions in the analytic space and establish the Mach limit holds in the analytic norm. These results are further extended to Gevrey initial data with convergence in a Gevrey norm.
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
(2022)
Article
Computer Science, Artificial Intelligence
Chenhui Qiang, Zhen Li, Yong Deng
Summary: In this paper, a new multifractal dimension of mass function is proposed by introducing parameter a to generalize the existing dimension. Furthermore, the relationship between the belief degree of focal element and the number of focal element with same belief degree is explored based on the inspiration from the multifractal spectrum of Cantor set, and the relevant results are presented by spectrum. Additionally, a static discounting coefficient generating method is provided to improve the accuracy of classify result of mass function, and the experiment conducted in three datasets shows the effectiveness of our method.
Article
Mathematics, Applied
Guanzhong Ma, Wenqiang Shen, Xiao Yao
Summary: In this paper, a framework for the construction of Moran set driven by dynamics is established. Under this framework, the Hausdorff dimension of the generalized intrinsic level set with respect to the given ergodic measure is studied in a class of non-uniformly hyperbolic interval maps with finitely many branches.
Article
Mathematics, Applied
Hao Li, Honglin Chen, Matt Haberland, Andrea L. Bertozzi, P. Jeffrey Brantingham
Summary: This paper demonstrates the use of PDE-based graph methods for modern machine learning applications, focusing on a case study of body-worn video classification. By utilizing physics-based machine learning with classical ideas like optical flow, along with linear mixture models and PDE-based graph classification methods, it allows for effective video analysis with modest training data while also protecting privacy.
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
(2021)
Review
Mathematics
Bilel Selmi
Summary: We estimate the upper and lower bounds of the Hewitt-Stromberg dimensions, which provides new proofs of theorems on the multifractal formalism based on Hewitt-Stromberg measures. We also provide concrete examples of measures satisfying the above property.
JOURNAL OF GEOMETRIC ANALYSIS
(2022)
Article
Physics, Multidisciplinary
Leonardo Ermann, Klaus M. Frahm, Dima L. Shepelyansky
Summary: We numerically study the properties of entanglement of two interacting or noninteracting particles in a regime of quantum chaos in the quantum Chirikov standard map. The results show unusual features of the entropy of entanglement and the spectrum of Schmidt decomposition with their dependence on interactions at different quantum chaos regimes.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Article
Mathematics, Applied
Omar Saber Qasim, Ahmed Entesar, Waleed Al-Hayani
Summary: This paper presents a method called LASPM-CPSO which uses Lyapunov's artificial small parameter method with continuous particle swarm optimization to solve nonlinear differential equations. The proposed method is evaluated using three different examples and shown to be more reliable and efficient compared to the classical LASPM method.
NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION
(2021)
Article
Geosciences, Multidisciplinary
Abdelbasset Boulassel, Naima Zaourar, Said Gaci, Amar Boudella
Summary: The study utilizes fractal dimensions and singularity spectrum attributes to characterize reservoir fluids, highlighting significant differences between oil and gas. Gas typically shows high regularization dimensions, low box dimensions, and strong singularities, while oil exhibits a broader range of attributes and high box dimensions.
JOURNAL OF APPLIED GEOPHYSICS
(2021)
Article
Engineering, Mechanical
Carlos Carrizales-Velazquez, Reik V. Donner, Lev Guzman-Vargas
Summary: This article introduces a new method for characterizing the multifractal spectrum of short time series using a generalization of Higuchi's estimator. The method obtains reliable estimates of the multifractal spectrum by considering the order-q moments of the partition function of the time series graph at different levels of subsampling.
NONLINEAR DYNAMICS
(2022)
Article
Engineering, Multidisciplinary
Jingni Guo, Junxiang Xu, Zhenggang He, Wei Liao
Summary: In this study, a cascading failure model for multimodal transport network is built, considering recovery mechanisms and dynamics. Nine attack strategies are formulated and their effectiveness is evaluated. Results show that attack strategies based on high node closeness are more effective in causing damage to the network. Sensitivity analysis suggests that the high-closeness attacking strategy is the most effective. Therefore, future studies on cascading failure of multimodal transport networks should prioritize nodes with high closeness.
JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION
(2022)
Article
Physics, Multidisciplinary
Yoshihiro Sato, Yuka Mizukami, Mariko Takeda, Kazuya Okubo, Ryota Kobayashi, Fumio Munakata
Summary: This study conducted a multifractal analysis on the particle dispersion state of self-assembled aggregates to understand their distribution and morphology, and compared the results with sintered samples. It was found that the dispersion state of the sintered sample changed similarly to the simulation, confirming the validity of using simulation results as reference for distribution state. These findings should contribute to the development of improved functional composite materials.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2021)
Article
Mathematics, Applied
Igor Kukavica, David Massatt, Mohammed Ziane
Summary: We investigate the asymptotic properties of the Boussinesq equations with vanishing thermal diffusivity in a bounded domain with no-slip boundary conditions. The dissipations of the L2 norm of velocity and its gradient, the convergence of the L2 norm of Au, and an o(1)-type exponential growth for IIA3/2uIIL2 are shown. Additionally, we obtain that the gradient of vorticity in the interior of the domain is bounded by a polynomial function of time.
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
(2023)
Article
Mathematics
Najmeddine Attia, Bilel Selmi
Summary: The present work introduces a new multifractal formalism based on Hewitt-Stromberg measures, which is parallel to Olsen's multifractal formalism using Hausdorff and packing measures, as the classical multifractal formalism does not apply.
JOURNAL OF GEOMETRIC ANALYSIS
(2021)
Article
Green & Sustainable Science & Technology
Xiaoyu Shang, Jingwei Yang, Simiao Wang, Mingzhong Zhang
Summary: The study investigated the internal mesocrack characteristics of recycled aggregate concrete under uniaxial compressive loading using X-ray computed tomography. It was found that the number, width, tortuosity, and density of mesocracks decrease with increasing recycled coarse aggregate replacement rate. The fractal dimension of mesocracks ranged from 1.19 to 1.32 for 2D images and 2.18 to 2.39 for 3D structures, showing a correlation with the RCA replacement rate.
JOURNAL OF CLEANER PRODUCTION
(2021)
Article
Geosciences, Multidisciplinary
Kun Li, Ruiqiang Ni, Chaofan Lv, Lingyu Xue, Caihong Zhang, Chuanrong Li, Weixing Shen, Huiling Guo, Yikun Zhang
Summary: The study applied fractal theory to quantify the effects of Robinia pseudoacacia expansion on soil particle size distribution (PSD), finding that the expansion increased clay and silt contents while reducing sand content, ultimately reducing heterogeneity in PSD.
Article
Mechanics
Ginestra Bianconi
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2019)
Article
Mechanics
Nicola Cinardi, Andrea Rapisarda, Ginestra Bianconi
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2019)
Article
Physics, Multidisciplinary
Carlo Baldassi, Enrico M. Malatesta, Riccardo Zecchina
PHYSICAL REVIEW LETTERS
(2019)
Article
Mechanics
Ginestra Bianconi, Sergey N. Dorogovstev
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2020)
Article
Multidisciplinary Sciences
Carlo Baldassi, Fabrizio Pittorino, Riccardo Zecchina
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
(2020)
Article
Physics, Multidisciplinary
Carlo Baldassi, Clarissa Lauditi, Enrico M. Malatesta, Gabriele Perugini, Riccardo Zecchina
Summary: The success of deep learning has revealed the application potential of neural networks across the sciences and opened up fundamental theoretical problems. Statistical physics results suggest that wide flat minima arise as complex extensive structures, formed from the coalescence of minima around high-margin configurations, and have a significant impact on the generalization performance of neural networks.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Multidisciplinary
Ginestra Bianconi
Summary: Maximum entropy network ensembles have been effective in modeling and solving inference problems in sparse network topologies. However, existing models have limitations which have been addressed by proposing hierarchical models for exchangeable networks that can handle fixed or arbitrary number of nodes in a grand canonical approach.
Article
Physics, Fluids & Plasmas
M. Negri, G. Tiana, R. Zecchina
Summary: The study investigates how to describe the native state of model proteins using physical concepts and sampling algorithms. By efficiently sampling high local entropy states, they demonstrated enhanced stability and folding rate based on simple and general statistical-mechanics arguments.
Article
Physics, Fluids & Plasmas
Ginestra Bianconi, Ivan Kryven, Robert M. Ziff
Article
Business, Finance
Marco Bardoscia, Ginestra Bianconi, Gerardo Ferrara
INTERNATIONAL JOURNAL OF FINANCE & ECONOMICS
(2019)
Article
Physics, Fluids & Plasmas
Ivan Kryven, Ginestra Bianconi
Article
Physics, Fluids & Plasmas
Ivan Kryven, Robert M. Ziff, Ginestra Bianconi
Article
Physics, Multidisciplinary
Eleonora Kreacic, Ginestra Bianconi
Article
Physics, Fluids & Plasmas
Ana P. Millan, Joaquin J. Torres, Ginestra Bianconi
Article
Physics, Fluids & Plasmas
Ginestra Bianconi, Robert M. Ziff
