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Ou, Yumeng

  1. On Falconer's distance set problem in the plane
    2018/08/28 by Larry Guth, Alex Iosevich, Guth, Larry +5 · 17 citations
    Mathematics · #Mathematical Dynamics and Fractals #Advanced Topology and Set Theory #Mathematical Approximation and Integration
  2. An improved result for Falconer's distance set problem in even dimensions
    2020/06/11 by Du, Xiumin, Iosevich, Alex, Ou, Yumeng +2 · 4 citations
    #42B20 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
  3. New improvement to Falconer distance set problem in higher dimensions
    2023/09/08 by Du, Xiumin, Ou, Yumeng, Ren, Kevin +1 · 6 citations
    #28A78 #28A80 #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Metric Geometry (math.MG)
  4. Uniform sparse domination of singular integrals via dyadic shifts
    2016/10/06 by Culiuc, Amalia, Di Plinio, Francesco, Ou, Yumeng · 2 citations
    #42B20 #42B25 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
  5. Weighted restriction estimates and application to Falconer distance set problem
    2018/02/27 by Du, Xiumin, Guth, Larry, Ou, Yumeng +3 · 2 citations
    #42B20 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
  6. Weighted refined decoupling estimates and application to Falconer distance set problem
    2023/09/08 by Xiumin Du, Du, Xiumin, Yumeng Ou +5 · 3 citations
    Computer Science · Mathematics · #28A78 #28A80 #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Mathematical Approximation and Integration #Metric Geometry (math.MG)
  7. 2D-Defocusing Nonlinear Schrödinger Equation with Random Data on Irrational Tori
    2019/10/08 by Fan, Chenjie, Ou, Yumeng, Staffilani, Gigliola +1 · 2 citations
    #35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics
  8. A cone restriction estimate using polynomial partitioning
    2017/04/18 by Ou, Yumeng, Wang, Hong · 1 citation
    #42B10 #42B20 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
  9. Sparse bounds for the bilinear spherical maximal function
    2022/03/24 by Tainara Borges, Borges, Tainara, Benjamin R. Foster +7 · 1 citation
    Mathematics · Medicine · #42B15 #42B25 #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Approximation and Integration #Pelvic and Acetabular Injuries
  10. Banach-valued multilinear singular integrals
    2015/06/18 by Francesco Di Plinio, Di Plinio, Francesco, Yumeng Ou +1 · 2 citations
    Mathematics · #42B20 #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods
  11. Nonempty interior of pinned distance and tree sets
    2025/03/19 by Tainara Borges, Borges, Tainara, Benjamin Foster +7 · 2 citations
    Computer Science · Mathematics · #Advanced Graph Theory Research #Advanced Topology and Set Theory #Computational Geometry and Mesh Generation #math.CA
  12. Sobolev smoothing estimates for bilinear maximal operators with fractal dilation sets
    2023/11/29 by Borges, Tainara, Foster, Benjamin, Ou, Yumeng · 1 citation
    #42B15 #42B25 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
  13. Finite Point Configurations and the Regular Value Theorem in a Fractal setting
    2020/05/25 by Ou, Yumeng, Taylor, Krystal · 1 citation
    #28A #42B10 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics