On the rate of escape or approach to the origin of a random string

DOI10.1214/22-ECP451MaRDI QIDQ2078120

Phúc Lâm

Publication date: 25 February 2022

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.10260

zbMATH Keywords

recurrencestochastic heat equationwhite noiserate of escape

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) White noise theory (60H40) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Cites Work

• Polarity of points for Gaussian random fields
• Rates of escape of infinite dimensional Brownian motion
• On the existence of natural rate of escape functions for infinite dimensional Brownian motions
• Brownian sheet and capacity
• Sample functions of the \(N\)-parameter Wiener process
• Hitting properties of a random string
• Polarity of almost all points for systems of nonlinear stochastic heat equations in the critical dimension
• Hitting probabilities for systems of non-linear stochastic heat equations with multiplicative noise
• Some Theorems Concerning 2-Dimensional Brownian Motion
• Random motion of strings and related stochastic evolution equations
• Brownian Motion

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