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Preprint arXiv:2503 · arXiv 2503.11574

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math.CA 1

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Bourgain's condition, sticky Kakeya, and new examples

math.CA · 2025-11-14 · unverdicted · novelty 8.0

For operators satisfying Bourgain's condition, the sticky curved Kakeya conjecture reduces to the sticky classical Kakeya conjecture in dimensions at least 3 via a new geometric characterization of curved tubes, with examples showing the property fails for larger tubes and without diffeomorphism to

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  • Bourgain's condition, sticky Kakeya, and new examples math.CA · 2025-11-14 · unverdicted · none · ref 2

    For operators satisfying Bourgain's condition, the sticky curved Kakeya conjecture reduces to the sticky classical Kakeya conjecture in dimensions at least 3 via a new geometric characterization of curved tubes, with examples showing the property fails for larger tubes and without diffeomorphism to