Scaling limit of the odometer in divisible sandpiles

DOI10.1007/s00440-017-0821-xzbMath1403.31001arXiv1604.03754OpenAlexW2963184305WikidataQ59604630 ScholiaQ59604630MaRDI QIDQ1626620

Wioletta M. Ruszel, Alessandra Cipriani, Rajat Subhra Hazra

Publication date: 21 November 2018

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.03754

zbMATH Keywords

odometerbilaplacian field

Mathematics Subject Classification ID

Gaussian processes (60G15) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Probabilistic potential theory (60J45) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20)

Related Items (7)

Estimates for the Green's function of the discrete Bilaplacian in dimensions 2 and 3 ⋮ The scaling limit of the \((\nabla +\Delta)\)-model ⋮ The scaling limit of the membrane model ⋮ Stochastic homogenization of Gaussian fields on random media ⋮ Fractional Edgeworth expansions for one-dimensional heavy-tailed random variables and applications ⋮ Scaling limits in divisible sandpiles: a Fourier multiplier approach ⋮ Probability to be positive for the membrane model in dimensions 2 and 3

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Apollonian structure in the abelian sandpile
• Fluctuation results for Hastings-Levitov planar growth
• Scaling limits for internal aggregation models with multiple sources
• Entropic repulsion for a class of Gaussian interface models in high dimensions
• Strong spherical asymptotics for rotor-router aggregation and the divisible sandpile
• Maximum and entropic repulsion for a Gaussian membrane model in the critical dimension
• The divisible sandpile with heavy-tailed variables
• Convergence of the abelian sandpile
• The divisible sandpile at critical density
• Gaussian free fields for mathematicians
• An Elementary View of Euler's Summation Formula
• Classical Fourier Analysis
• Course 14 Mathematical aspects of the Abelian Sandpile model
• Gaussian Hilbert Spaces
• Self-organized critical state of sandpile automaton models
• Entropic repulsion for a Gaussian lattice field with certain finite range interaction

This page was built for publication: Scaling limit of the odometer in divisible sandpiles