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On idempotent measure conjecture and decomposition of invariant measures

Logic 2025-12-01 v1

Abstract

We work with the *-product introduced in [GHK25] and f-generic types to describe the minimal ideals of invariant types and to classify ergodic Keisler measures in amenable NIP theories. Moreover, we analyze the situation around the so-called Idempotent Measure Conjecture studied in [CGK24] and [GHK25].

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Cite

@article{arxiv.2511.22945,
  title  = {On idempotent measure conjecture and decomposition of invariant measures},
  author = {Daniel Max Hoffmann and Tomasz Rzepecki},
  journal= {arXiv preprint arXiv:2511.22945},
  year   = {2025}
}

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31 pages