Constructing fractional Gaussian fields from long-range divisible sandpiles on the torus

DOI10.1016/j.spa.2021.06.006zbMath1475.60080arXiv1808.06078OpenAlexW3173680814MaRDI QIDQ1979901

Leandro Chiarini, Wioletta M. Ruszel, Milton D. Jara

Publication date: 3 September 2021

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.06078

zbMATH Keywords

abstract Wiener spacescaling limitsfractional Gaussian fieldsodometerdivisible sandpilebi-Laplacian field

Mathematics Subject Classification ID

Gaussian processes (60G15) Sums of independent random variables; random walks (60G50) Probabilistic potential theory (60J45) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20)

Related Items (2)

Stochastic homogenization of Gaussian fields on random media ⋮ Fractional Edgeworth expansions for one-dimensional heavy-tailed random variables and applications

Cites Work

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• Fluctuation results for Hastings-Levitov planar growth
• Ten equivalent definitions of the fractional Laplace operator
• Numerical investigation of a space-fractional model of turbulent fluid flow in rectangular ducts
• Strong spherical asymptotics for rotor-router aggregation and the divisible sandpile
• Effect of surface slip on the relative motion and collision efficiency of slippery spherical particles
• Analysis of subdiffusion in disordered and fractured media using a Grünwald-Letnikov fractional calculus model
• A probabilistic approach to the geometry of the \(\ell^n_p\)-ball
• The scaling limit of the membrane model
• Scaling limits in divisible sandpiles: a Fourier multiplier approach
• Exponential decay of covariances for the supercritical membrane model
• The divisible sandpile at critical density
• Gaussian free fields for mathematicians
• Lectures on Random Interfaces
• Fractional Elliptic Problems with Critical Growth in the Whole of ℝn
• Scaling Limit for a Long-Range Divisible Sandpile
• The Generic Chaining
• Laplacian growth, sandpiles, and scaling limits
• Odometers of Divisible Sandpile Models: Scaling Limits, iDLA and Obstacle Problems. A Survey

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