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<p>We prove two-ends Furstenberg estimates in the plane for a Katz–Tao <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\((\delta ,t)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mi>δ</mi> <mo>,</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation>-set of lines, for general <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(t\in [0,2]\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>t</mi> <mo>∈</mo> <mo stretchy="false">[</mo> <mn>0</mn> <mo>,</mo> <mn>2</mn> <mo stretchy="false">]</mo> </mrow> </math></EquationSource> </InlineEquation>.</p>

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Two-ends Furstenberg estimates in the plane

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年6月23日

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  • Hong Wang,
  • Shukun Wu

摘要

We prove two-ends Furstenberg estimates in the plane for a Katz–Tao \((\delta ,t)\) ( δ , t ) -set of lines, for general \(t\in [0,2]\) t ∈ [ 0 , 2 ] .