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scientific article; zbMATH DE number 7709546

Language	Label	Description	Also known as
English	No label defined	scientific article; zbMATH DE number 7709546

Statements

scholarly article

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Ciprian A. Tudor

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publication date

10 July 2023

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full work available at URL

https://gradmath.org/2023/01/12/fractional-stochastic-heat-equation-with-hermite-noise/

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zbMATH Keywords

fractional Laplacian

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Wiener chaos

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Hermite process

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stochastic heat equation

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multiple stochastic integrals

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multiparameter stochastic processes

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MaRDI profile type

MaRDI publication profile

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Parameter identification for the Hermite Ornstein-Uhlenbeck process

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Limiting measure and stationarity of solutions to stochastic evolution equations with Volterra noise

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Stochastic evolution equations with Volterra noise

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Lp-valued stochastic convolution integral driven by Volterra noise

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Stochastic integration with respect to fractional processes in Banach spaces

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On the solutions of nonlinear stochastic fractional partial differential equations in one spatial dimension

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A Fourier analytic approach to pathwise stochastic integration

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Pseudodifferential operators with variable order of differentiation generating Feller semigroups

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Stochastic fractional Anderson models with fractional noises

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Decomposition and Limit Theorems for a Class of Self-Similar Gaussian Processes

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Estimation of the drift parameter for the fractional stochastic heat equation via power variation

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Hitting properties of a random string

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A connection between the stochastic heat equation and fractional Brownian motion, and a simple proof of a result of Talagrand

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Statistical inference for Vasicek-type model driven by Hermite processes

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The Malliavin Calculus and Related Topics

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Long-Range Dependence and Self-Similarity

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Parameter Estimates and Exact Variations for Stochastic Heat Equations Driven by Space-Time White Noise

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Stochastic Processes and Long Range Dependence

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The linear stochastic heat equation with Hermite noise

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Behavior with respect to the Hurst index of the Wiener Hermite integrals and application to SPDEs

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Non-central limit theorems for quadratic functionals of Hermite-driven long memory moving average processes

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Analysis of Variations for Self-similar Processes

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Sample paths of the solution to the fractional-colored stochastic heat equation

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Exact variations for stochastic heat equations with piecewise constant coefficients and application to parameter estimation

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6168060

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