What is Problem Mining? This is a tool based on data of arXiv.org which periodically scans packets of full texts of papers hosted on arXiv and available through arXiv's bulk data access policy, with the aim to automatically detect papers containing discussions on open problems or conjectures. It then creates a list from the detected papers putting together papers' descriptive data and some short snippets extracted from the full texts displaying an information on open problems or conjectures presented in the paper. The papers appearing on this list are only references to the arXiv's versions and we do NOT store the actual papers (TeX sources or PDFs) on our servers. To read any of the papers in this list one needs to follow the arXiv link displayed on the papers' blocks.

You can search within the list using keywords, author names, and subject area. By a simple click of the Interesting button, you may anonymously indicate your interest in the problem. If you think the automatic extraction resulted in incorrect data, you may click on the False positive button instead. The Stats section shows the worldwide interest by our users on a specific problem.

  • Lagrangian Statistics for Navier-Stokes Turbulence under Fourier-mode reduction: Fractal and Homogeneous Decimations


    year of publication: 2017 arXiv

    • Chaotic Dynamics
    • Fluid Dynamics
  • Fourier interpolation on the real line


    year of publication: 2017 arXiv

    • Functional Analysis
    • Number Theory
  • $\text{VC}_{\ell}$-dimension and the jump to the fastest speed of a hereditary $\mathcal{L}$-property


    year of publication: 2017 arXiv

    • Combinatorics
    • Logic
  • Generalized Uncertainty Principle as a Consequence of the Effective Field Theory


    year of publication: 2017 arXiv

    • Mathematical Physics
  • On Self-Normalising Sylow $2$-Subgroups in Type A


    year of publication: 2017 arXiv

    • Representation Theory
  • Multiplicative structure on Real Johnson-Wilson theory


    year of publication: 2017 arXiv

    • Algebraic Topology

    MSC 2010: 55N22 55N91 55P91

  • On moduli space of symmetric orthogonal matrices and exclusive Racah matrix $\bar S$ for representation $R=[3,1]$ with multiplicities


    year of publication: 2017 arXiv

    • Geometric Topology
    • Mathematical Physics
    • Representation Theory
  • Challenges ahead Electron Microscopy for Structural Biology from the Image Processing point of view


    year of publication: 2017 arXiv

    • Computer Vision and Pattern Recognition
    • Quantitative Methods
  • Dual submanifolds in rational homology spheres


    year of publication: 2017 arXiv

    • Algebraic Topology
    • Differential Geometry
    • Geometric Topology
  • Uniform K-stability and plt blowups of log Fano pairs


    year of publication: 2017 arXiv

    • Algebraic Geometry
    • Differential Geometry

    MSC 2010: 14E30 14J45

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