RANDOM_WALK

作品数:152被引量:172H指数:7
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Asymptotic Probability of Record Numbers in Random Walks
《应用概率统计》2025年第1期17-27,共11页PENG Wenjie LI Yuqiang 
supported by the National Natural Science Foundation of China(Grant No.11671145);the Science and Technology Commission of Shanghai Municipality(Grant No.18dz2271000).
In this paper,large deviations principle(LDP)and moderate deviations principle(MDP)of record numbers in random walks are studied under certain conditions.The results show that the rate functions of LDP and MDP are dif...
关键词:random walk record number large deviation moderate deviation 
Strong invariance principle for a counterbalanced random walk
《Applied Mathematics(A Journal of Chinese Universities)》2024年第2期370-380,共11页TAN Hui-qun HU Zhi-shui DONG Liang 
Supported by the National Natural Science Foundation of China(11671373).
We study a counterbalanced random walkS_(n)=X_(1)+…+X_(n),which is a discrete time non-Markovian process andX_(n) are given recursively as follows.For n≥2,X_(n) is a new independent sample from some fixed law̸=0 wit...
关键词:random walk MARTINGALE invariance principle 
Metarelation2vec:A Metapath-Free Scalable Representation Learning Model for Heterogeneous Networks被引量:1
《Tsinghua Science and Technology》2024年第2期553-575,共23页Lei Chen Yuan Li Yong Lei Xingye Deng 
supported by the National Key Research and Development Program(No.2019YFE0105300);the National Natural Science Foundation of China(No.62103143);the Hunan Province Key Research and Development Program(No.2022WK2006);the Special Project for the Construction of Innovative Provinces in Hunan(Nos.2020TP2018 and 2019GK4030);the Scientific Research Fund of Hunan Provincial Education Department(No.22B0471).
Metapaths with specific complex semantics are critical to learning diverse semantic and structural information of heterogeneous networks(HNs)for most of the existing representation learning models.However,any metapath...
关键词:metarelation random walk heterogeneous network metapath representation learning 
Determining exact survival probability by setting discrete random variables in E. Sparre Andersen’s model
《Probability, Uncertainty and Quantitative Risk》2023年第4期445-462,共18页Andrius Grigutis 
In this work,we propose an alternative to the Pollaczek-Khinchine formula for the ultimate time survival(or ruin)probability calculation in exchange for a few assumptions on the random variables that generate the rene...
关键词:Ruin theory Renewal theory Queueing theory Random walk Survival probability Generating function Pollaczek–Khinchine formula Initial values 
Study of Wildebeest Foraging Processes Using Advection Diffusion Equation: Case of the Serengeti Ecosystem in Tanzania
《Journal of Applied Mathematics and Physics》2023年第11期3377-3392,共16页Linus N. Kisoma Torney Colin 
We studied the foraging processes of wildebeest using an advection-diffusion equation. We equipped the model with data collected between 1999 and 2007 from the Serengeti ecosystem from 18 GPS-collared wildebeest. Resu...
关键词:ADVECTION-DIFFUSION MOVEMENT FORAGING Random Walk 
Directional-to-random transition of cell cluster migration
《Chinese Physics B》2023年第11期168-172,共5页曾阳 车丙晨 孙聃 张策 经光银 
Project supported by the National Natural Science Foundation of China (Grant Nos. 51927804 and 12174306);the Natural Science Basic Research Program of Shaanxi Province of China (Grant No. 2023-JC-JQ-02)。
Efficient cell migration is crucial for the functioning of biological processes, e.g., morphogenesis, wound healing, and cancer metastasis. In this study, we monitor the migratory behavior of the 3D fibroblast cluster...
关键词:cell migration random walk active wetting cell cluster 
A class of anomalous diffusion epidemic models based on CTRW and distributed delay被引量:1
《International Journal of Biomathematics》2023年第7期249-281,共33页Zhenzhen Lu Guojian Ren Yangquan Chen Xiangyun Meng Yongguang Yu 
This work is supported in part by the National Natural Science Foundation of China(Grant Nos.62173027,62003026 and 61973329);the Natural Science Foundation of Beijing Municipality(Grant No.Z180005);Alianza UCMX seed funding(2020-2022)on Binational Collaborative Projects addressing COVID-19.
In recent years,the epidemic model with anomalous diffusion has gained popularity in the literature.However,when introducing anomalous diffusion into epidemic models,they frequently lack physical explanation,in contra...
关键词:Continuous-time random walk time-fractional space-fractional diffusion time-fractional reaction-diffusion fractional-order diffusion distributed time delay 
Random Walk Approximation for Irreversible Drift-Diffusion Process on Manifold:Ergodicity,Unconditional Stability and Convergence
《Communications in Computational Physics》2023年第6期132-172,共41页Yuan Gao Jian-Guo Liu 
Jian-Guo Liu was supported in part by NSF under awards DMS-2106988;by NSF RTG grant DMS-2038056;Yuan Gao was supported by NSF under awards DMS-2204288.
Irreversible drift-diffusion processes are very common in biochemical reactions.They have a non-equilibrium stationary state(invariant measure)which does not satisfy detailed balance.For the corresponding Fokker-Planc...
关键词:Symmetric decomposition non-equilibrium thermodynamics enhancement by mixture exponential ergodicity structure-preserving numerical scheme 
Comparison among Classical,Probabilistic and Quantum Algorithms for Hamiltonian Cycle Problem
《Journal of Quantum Computing》2023年第1期55-70,共16页Giuseppe Corrente Carlo Vincenzo Stanzione Vittoria Stanzione 
the project PNRR-HPC,Big Data and Quantum Computing–CN1 Spoke 10,CUP I53C22000690001.
The Hamiltonian cycle problem(HCP),which is an NP-complete problem,consists of having a graph G with n nodes and m edges and finding the path that connects each node exactly once.In this paper we compare some algorith...
关键词:Quantum computing probabilistic computing hamiltonian cycle problem random walk quantum turing machine 
Biased random walk with restart for essential proteins prediction
《Chinese Physics B》2022年第11期638-648,共11页Pengli Lu Yuntian Chen Teng Zhang Yonggang Liao 
Project supported by the National Natural Science Foundation of China(Grant Nos.11861045 and 62162040)。
Predicting essential proteins is crucial for discovering the process of cellular organization and viability.We propose biased random walk with restart algorithm for essential proteins prediction,called BRWR.Firstly,th...
关键词:PPI network essential proteins random walk with restart gene expression 
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