A new proof of Liggett's theorem for non-interacting Brownian motions

DOI10.1214/21-ECP435zbMath1487.60095arXiv2012.03914OpenAlexW4205684787MaRDI QIDQ2078227

Xinxin Chen, Atul Shekhar, Christophe Garban

Publication date: 28 February 2022

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

Full work available at URL: https://arxiv.org/abs/2012.03914

zbMATH Keywords

Brownian motioninvariant measuresPoisson point processesCox processes

Mathematics Subject Classification ID

Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Nonlinear processes (e.g., (G)-Brownian motion, (G)-Lévy processes) (60G65)

Related Items (2)

The minimum modulus of Gaussian trigonometric polynomials ⋮ The fixed points of branching Brownian motion

Cites Work

• On the structure of quasi-stationary competing particle systems
• The extremal process of critical points of the pure \(p\)-spin spherical spin Glass model
• Characterization of invariant measures at the leading edge for competing particle systems
• Extreme local extrema of two-dimensional discrete Gaussian free field
• Gaussian Processes on Trees
• Random Measures, Theory and Applications
• Extrema of the Two-Dimensional Discrete Gaussian Free Field
• Random invariant measures for Markov chains, and independent particle systems
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