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Random Walk on T-Fractal with Stochastic Resetting [PDF]
EntropyIn this study, we explore the impact of stochastic resetting on the dynamics of random walks on a T-fractal network. By employing the generating function technique, we establish a recursive relation between the generating function of the first passage ...
Xiaohan Sun +3 more
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Normal Variance Mixture with Arcsine Law of an Interpolating Walk Between Persistent Random Walk and Quantum Walk [PDF]
EntropyWe propose a model that interpolates between quantum walks and persistent (correlated) random walks using one parameter on the one-dimensional lattice. We show that the limit distribution is described by the normal variance mixture with the arcsine law.
Saori Yoshino +4 more
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Electronic Communications in Probability, 2003 7 pages, v2 is journal ...
Benjamini, Itai, Wilson, David
exaly +4 more sources
Transferring principles of solid-state and Laplace NMR to the field of in vivo brain MRI [PDF]
Magnetic Resonance, 2020 Magnetic resonance imaging (MRI) is the primary method for noninvasive investigations of the human brain in health, disease, and development but yields data that are difficult to interpret whenever the millimeter-scale voxels contain multiple microscopic
J. P. de Almeida Martins +10 more
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Matrix moments of the diffusion tensor distribution and matrix-variate Gamma approximation
Journal of Magnetic Resonance Open, 2021 Diffusion MRI allows for the non-invasive investigation of the microscopic architecture of biological tissues in vivo. While being sensitive to microstructural tissue changes, diffusion MRI yields poor specificity regarding the cause of these changes ...
Alexis Reymbaut
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Random walk on random walks: Low densities [PDF]
The Annals of Applied Probability, 2020 We consider a random walker in a dynamic random environment given by a system of independent simple symmetric random walks. We obtain ballisticity results under two types of perturbations: low particle density, and strong local drift on particles.
Blondel, Oriane +4 more
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Diffusivity of a random walk on random walks [PDF]
Random Structures & Algorithms, 2014 We consider a random walk $(Z^{(1)}_n, ..., Z^{(K+1)}_n) \in \mathbb{Z}^{K+1}$ with the constraint that each coordinate of the walk is at distance one from the following one. In this paper, we show that this random walk is slowed down by a variance factor $σ_K^2 = \frac{2}{K+2}$ with respect to the case of the classical simple random walk without ...
Boissard, Emmanuel +3 more
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P2 random walk: self-supervised anomaly detection with pixel-point random walk
Complex & Intelligent Systems, 2023 In the domain of intelligent manufacturing, automatic anomaly detection plays a pivotal role and holds great significance for improving production efficiency and product quality.
Liujie Hua, Qianqian Qi, Jun Long
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Directivity of Quantum Walk via Its Random Walk Replica
Complexity, 2022 Quantum walks (QWs) exhibit different properties compared with classical random walks (RWs), most notably by linear spreading and localization. In the meantime, random walks that replicate quantum walks, which we refer to as quantum-walk-replicating ...
Tomoki Yamagami +5 more
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Application of random walk to model temperature in 60 African cities for the 20th century [PDF]
E3S Web of Conferences, 2021 The 20th century is marked with climate change led by global warming. So far, many models have been applied to analyze the temperature change. However, a simple but interesting model, a random walk is hardly used in his regard.
Yan Shaomin, Wu Guang
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