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Combinatorics, Probability and Computing, 2012 We study a discrete time self interacting random process on graphs, which we call Greedy Random Walk. The walker is located initially at some vertex. As time evolves, each vertex maintains the set of adjacent edges touching it that have not been crossed ...
Orenshtein, Tal, Shinkar, Igor
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Random walk on random walks: low densities [PDF]
The Annals of Applied Probability, 2017 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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Random walk on the range of random walk [PDF]
Journal of Statistical Physics, 2009 We study the random walk X on the range of a simple random walk on ℤ d in dimensions d≥4. When d≥5 we establish quenched and annealed scaling limits for the process X, which show that the intersections of the original simple random walk path are ...
A. Masi De +28 more
core +6 more sources
Electronic Communications in Probability, 2003 A random walk on Z^d is excited if the first time it visits a vertex there is a bias in one direction, but on subsequent visits to that vertex the walker picks a neighbor uniformly at random.
Benjamini, Itai, Wilson, David B.
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Bandit Algorithm Driven by a Classical Random Walk and a Quantum Walk [PDF]
Entropy, 2023 Quantum walks (QWs) have a property that classical random walks (RWs) do not possess—the coexistence of linear spreading and localization—and this property is utilized to implement various kinds of applications.
Tomoki Yamagami +5 more
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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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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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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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