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...
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...
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...
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...
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...
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...
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...
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...
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...
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...