Arithmetic subtrees in large subsets of products of trees

DOI10.1007/S11854-023-0277-0zbMath1522.05483arXiv2111.01452OpenAlexW3210668753MaRDI QIDQ6094777

Kamil Bulinski, Alexander Fish

Publication date: 10 October 2023

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.01452

zbMATH Keywords

Markov processesarithmetic progressionsSzemerédi's theoremvan der Waerden's theorem

Mathematics Subject Classification ID

Trees (05C05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Generalized Ramsey theory (05C55) Ramsey theory (05D10) Graph operations (line graphs, products, etc.) (05C76)

Cites Work

• An ergodic Szemerédi theorem for commuting transformations
• Remarks on a Ramsey theory for trees
• Ramsey Theory for Product Spaces
• Markov Processes and Ramsey Theory for Trees
• Dense Subsets of Products of Finite Trees

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