Existence of stationary ballistic deposition on the infinite lattice

DOI10.1002/RSA.21116zbMath1524.60263arXiv2110.10294OpenAlexW3207808657MaRDI QIDQ6074877

No author found.

Publication date: 19 October 2023

Published in: Random Structures & Algorithms (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.10294

zbMATH Keywords

Markov processstationary distributioninterface growthrandom surfaceballistic deposition

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24)

Cites Work

• Unnamed Item
• Unnamed Item
• Growth and roughness of the interface for ballistic deposition
• On ergodicity of some Markov processes
• Strong law of large numbers for the interface in ballistic deposition
• Local behaviour of Airy processes
• Limit theory for random sequential packing and deposition
• Brownian aspects of the KPZ fixed point
• The KPZ fixed point
• Local KPZ behavior under arbitrary scaling limits
• On ballistic deposition process on a strip
• Stationary solutions to the stochastic Burgers equation on the line
• Mathematics of random growing interfaces
• Kardar-Parisi-Zhang Universality
• Thermodynamic Limit for Directed Polymers and Stationary Solutions of the Burgers Equation
• Ergodicity for Infinite Dimensional Systems
• Ergodicity of the KPZ Fixed Point
• Existence of stationary stochastic Burgers evolutions on R ² and R ^{3 *}
• Ballistic deposition on a planar strip

This page was built for publication: Existence of stationary ballistic deposition on the infinite lattice