Results 91 to 100 of about 5,123,051 (393)
Random Walks in Random Environments [PDF]
, 2006 Random walks provide a simple conventional model to describe various transport processes, for example propagation of heat or diffusion of matter through a medium. However, in many practical cases the medium is highly irregular due to defects, impurities, fluctuations etc., and it is natural to model this as random environment.
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Random walks and random permutations [PDF]
Journal of Physics A: Mathematical and General, 2001 A connection is made between the random turns model of vicious walkers and random permutations indexed by their increasing subsequences. Consequently the scaled distribution of the maximum displacements in a particular asymmeteric version of the model can be determined to be the same as the scaled distribution of the eigenvalues at the soft edge of the
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On the Speed of an Excited Asymmetric Random Walk [PDF]
, 2017 An excited random walk is a non-Markovian extension of the simple random walk, in which the walk's behavior at time $n$ is impacted by the path it has taken up to time $n$.
Cinkoske, Mike +2 more
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Experimental Implementation of the Quantum Random-Walk Algorithm
, 2003 The quantum random walk is a possible approach to construct new quantum algorithms. Several groups have investigated the quantum random walk and experimental schemes were proposed.
B.C. Travaglione +33 more
core +1 more source
Unraveling the metastasis‐preventing effect of miR‐200c in vitro and in vivo
Molecular Oncology, Volume 19, Issue 4, Page 1029-1053, April 2025.Advanced tumors and ineffective cancer treatments can lead to metastases in distant organs. The sole expression of microRNA 200c (miR‐200c) in breast cancer cells is shown to significantly reduce metastasis formation in xenograft mouse models. Various in vitro analyses revealed impeded migratory behavior, upon miR‐200c expression, as one prerequisite ...
Bianca Köhler +12 more
wiley +1 more source
Intra-fraction motion of the prostate is a random walk
Physics in Medicine and Biology, 2015 A random walk model for intra-fraction motion has been proposed, where at each step the prostate moves a small amount from its current position in a random direction.
H. Ballhausen +4 more
semanticscholar +1 more source
Molecular Oncology, Volume 19, Issue 5, Page 1422-1435, May 2025.The LEXOVE prospective study evaluated plasma cell‐free extracellular vesicle (cfEV) dynamics using Bradford assay and dynamic light scattering in metastatic non‐small cell lung cancer patients undergoing first‐line treatments, correlating a ∆cfEV < 20% with improved median progression‐free survival in responders versus non‐responders.
Valerio Gristina +17 more
wiley +1 more source
Facilitating Graph Neural Networks with Random Walk on Simplicial Complexes [PDF]
arXiv, 2023 Node-level random walk has been widely used to improve Graph Neural Networks. However, there is limited attention to random walk on edge and, more generally, on $k$-simplices. This paper systematically analyzes how random walk on different orders of simplicial complexes (SC) facilitates GNNs in their theoretical expressivity. First, on $0$-simplices or
arxiv
Electronic Journal of Probability, 2008 26 ...
Eichelsbacher, Peter, König, Wolfgang
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Journal of Theoretical Probability, 2019 We introduce a new type of random walk where the definition of edge reinforcement is very different from the one in the reinforced random walk models studied so far, and investigate its basic properties, such as null/positive recurrence, transience, and speed. Two basic cases will be dubbed "impatient" and"ageing" random walks.
János Engländer, Stanislav Volkov
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