Kolmogorov Equation for a Stochastic Reaction–Diffusion Equation with Multiplicative Noise by Kaiyuqi Guan, Yu Shi

“…Reaction–diffusion equations can model complex systems where randomness plays a role, capturing the interaction between diffusion processes and random fluctuations. …”
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Stable Diffusion-Driven Conditional Image Augmentation for Transformer Fault Detection by Wenlong Liao, Yiping Jiang, Rui Liu, Yun Feng, Yu Zhang, Jin Hou, Jun Wang

“…Existing substation equipment image data augmentation models face challenges such as high dataset size requirements, difficult training processes, and insufficient condition control. This paper proposes a transformer equipment image data augmentation method based on a Stable Diffusion model. …”
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Cosmic Ray Diffusion in Magnetic Fields Amplified by Nonlinear Turbulent Dynamo by Chao Zhang, Siyao Xu

“…The diffusion of cosmic rays (CRs) in turbulent magnetic fields is fundamental to understanding various astrophysical processes. …”
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Dynamics Analysis of a Mathematical Model for New Product Innovation Diffusion by Chunru Li, Zujun Ma

“…In this paper, a mathematical model with time-delay-related parameters and media coverage to describe the diffusion process of new products is proposed, in which the time-delay-related parameters denote the stage in which potential customers decide whether to adopt a new product. …”
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Social network information diffusion model based on user’s influence and interesting by Rui WANG, Yong LIU, Jing-hua ZHU, Ping XUAN, Jin-bao LI

“…A new non-topological information diffusion model of social network was proposed,called non-topological influence-interest diffusion model (NT-II).Representation learning was exploited to construct two hidden spaces for NT-II，called the user-influence space and the user-interest space,each user and each propagation item was mapped into a vector in space.The model predicted the probability of a user receiving a propagated item,considering not only the degree of influence from other users,but also the user's preference for propagated item.The experimental results show that the model can simulate the propagation process and predict the propagation results more accurately.…”
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Stratégies de partage et diffusion de données publiques environnementales by Sandra Nicolle, Maya Leroy

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Diffusing information for mobile social networks under consideration of dynamic influence by Dong Jing, Ting Liu

“…Experimental studies on real data sets show that the new model can process dynamic influence well in the diffusing information procedure, and the proposed algorithms can solve the influence maximization problem on new model efficiently.…”
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Detailed analysis of drift diffusion model parameters estimated for the ultimatum game by Shotaro Numano, Masahiko Haruno

“…While previous research has typically focused on either the choice or response time, a computational approach that integrates both can provide deeper insights into the cognitive and neural processes involved. Although the drift diffusion model (DDM) has been used for this purpose, few studies have tested it in the context of the ultimatum game. …”
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Diffusion coefficient matrix for multiple conserved charges: a Kubo approach by Sourav Dey, Amaresh Jaiswal, Hiranmaya Mishra

“…Abstract The strongly interacting matter created in relativistic heavy-ion collisions possesses several conserved quantum numbers, such as baryon number, strangeness, and electric charge. The diffusion process of these charges can be characterized by a diffusion matrix that describes the mutual influence of the diffusion of various charges. …”
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Concentration Distribution of Chloride Ion under the Influence of the Convection-Diffusion Coupling by Q. L. Zhao, Y. Z. Zhang

“…The transfer process of chloride ion under the action of the convection-diffusion coupling was analyzed in order to predict the corrosion of reinforcement and the durability of structure more accurately. …”
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An Empirical Theoretical Model for the Turbulent Diffusion Coefficient in Urban Atmospheric Dispersion by George Efthimiou

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Pore‐Scale Modeling of Water and Ion Diffusion in Partially Saturated Clays by Yuankai Yang, Sergey V. Churakov, Ravi A. Patel, Nikolaos Prasianakis, Guido Deissmann, Dirk Bosbach, Jenna Poonoosamy

“…This study provides critical insights into the coupled transport processes of solutes in partially saturated clays.…”
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Navigating blockchain adoption: An examination of actor alignment with the Diffusion of Innovation principles by Shipra Chhina, Mehmood Chadhar, Selena Firmin, Arthur Tatnall

“…The results indicate that the decision-making process for blockchain adoption corresponds to the knowledge, persuasion, and decision stages, mirroring the phases found in the innovation translation approach. …”
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Spatio-temporal behaviour of SIR models with cross-diffusion and vital dynamics by Maryam Ahmadpoortorkamani, Alexei Cheviakov

“…Diffusion terms of this type occur, for example, in the Keller–Siegel chemotaxis model. …”
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Dynamics of a diffusive age-structured HBV model with saturating incidence by Xichao Duan, Sanling Yuan, Kaifa Wang

“…In this paper, we propose and investigate an age-structured hepatitis B virus (HBV) model with saturating incidence and spatial diffusion where the viral contamination process is described by the age-since-infection. …”
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Maximizing the Influence of the Innovative Products Diffusion considering Advertisement and Promotion Strategies by Liang’an Huo, Jianbo Xu, Jianjia He, Tingting Lin

“…This paper considers the enterprises of similar products and substitute, their formation of a competition between traditional products and innovative products, and establishes a mixed node-level information diffusion model to describe the dynamic product diffusion process with complex network theories. …”
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Multisensor Diffusion-Driven Optical Image Translation for Large-Scale Applications by Joao Gabriel Vinholi, Marco Chini, Anis Amziane, Renato Machado, Danilo Silva, Patrick Matgen

“…Our contributions lie in new forward and reverse diffusion processes that address the challenges of large-scale image translation. …”
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Delineating Neural Structures of Developmental Human Brains with Diffusion Tensor Imaging by Hao Huang

“…Revealing detailed anatomy at different stages of brain development not only aids in understanding this highly ordered process, but also provides clues to detect abnormalities caused by genetic or environmental factors. …”
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Study on Leakage Diffusion of R1234yf Vehicle Air Conditioner by Wang Linlin, Yang Zhao, Wang Dan

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Progress of Research on Diffuse Axonal Injury after Traumatic Brain Injury by Junwei Ma, Kai Zhang, Zhimin Wang, Gang Chen

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