analysis / Euclidean density theorems
Near-optimal density thresholds forcing a measurable set in $\mathbb{R}^d$ to contain all sufficiently large similar copies of every $n$-point configuration, answering a question from the Euclidean density theorem literature up to logarithmic factors.
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Near-optimal rather than optimal: the bounds match up to logarithmic-type factors.
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Near-optimal density thresholds forcing a measurable set in $\mathbb{R}^d$ to contain all sufficiently large similar copies of every $n$-point configuration, answering a question from the Euclidean density theorem literature up to logarithmic factors.
Near-optimal rather than optimal: the bounds match up to logarithmic-type factors.
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