Reflecting time-Space Gaussian random field on compact Riemannian manifold and excursion probability

DOI10.1080/17442508.2021.2013486zbMath1498.60141OpenAlexW4200144219WikidataQ115295056 ScholiaQ115295056MaRDI QIDQ5041050

Qianqian Jiang, Wan-yang Dai

Publication date: 18 October 2022

Published in: Stochastics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17442508.2021.2013486

zbMATH Keywords

Riemannian manifoldexcursion probabilityPickands' constantanisotropic fractional spherical Brownian motionquantum computing and storagereflecting time-space Gaussian random-field

Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15) Stochastic particle methods (65C35) Measures (Gaussian, cylindrical, etc.) on manifolds of maps (58D20)

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Cites Work

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• Excursion probability of Gaussian random fields on sphere
• Scaling limits and the Schramm-Loewner evolution
• Asymptotic properties and Hausdorff dimensions of fractional Brownian sheets
• Operator scaling stable random fields
• Spatial variation of total column ozone on a global scale
• Geometric properties of fractional Brownian sheets
• Elliptic Gaussian random processes
• Anisotropic analysis of some Gaussian models
• Excursion probabilities of isotropic and locally isotropic Gaussian random fields on manifolds
• A heavy traffic limit theorem for a class of open queueing networks with finite buffers
• A unified system of FB-SDEs with Lévy jumps and double completely-\(\mathcal{S}\) skew reflections
• Spherical and hyperbolic fractional Brownian motion
• Maxima of asymptotically Gaussian random fields and moderate deviation approximations to boundary crossing probabilities of sums of random variables with multidimensional indices
• Nonparametric inference for the cosmic microwave background
• Introduction to Topological Manifolds
• Multiparameter Processes
• Optimal Rate Scheduling via Utility-Maximization for J-User MIMO Markov Fading Wireless Channels with Cooperation
• TWO-WAY QUANTUM COMMUNICATION CHANNELS
• Asymptotic Properties of the Maximum in a Stationary Gaussian Process
• Platform modelling and scheduling game with multiple intelligent cloud-computing pools for big data
• Quantum-computing with AI & blockchain: modelling, fault tolerance and capacity scheduling