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.

  • Blow-up scenarios for 3D NSE exhibiting sub-criticality with respect to the scaling of one-dimensional local sparseness


    year of publication: 2013 arXiv

    • Analysis of PDEs
    • Mathematical Physics
  • Theory of weights in p-adic cohomology


    year of publication: 2013 arXiv

    • Algebraic Geometry
    • Number Theory
  • Residual entropy of spin-s triangular Ising antiferromagnet


    year of publication: 2013 arXiv

    • Statistical Mechanics
  • The universal Associative envelope of the anti-Jordan triple system of $n \times n$ matrices


    year of publication: 2013 arXiv

    • Rings and Algebras
  • Modeling the transport of interacting matter-waves in disorder by a non-linear diffusion equation


    year of publication: 2013 arXiv

    • Quantum Gases
  • Complex multiplication cycles and Kudla-Rapoport divisors II


    year of publication: 2013 arXiv

    • Number Theory
  • Odd and even Maass cusp forms for Hecke triangle groups, and the billiard flow


    year of publication: 2013 arXiv

    • Dynamical Systems
    • Number Theory
    • Spectral Theory

    MSC 2010: 11F72 11M36 37B10 37C30 37D35 37D40

  • On Inversion in Z_{2^n-1}


    year of publication: 2013 arXiv

    • Discrete Mathematics
    • Number Theory
  • Connecting the Sun's High-Resolution Magnetic Carpet to the Turbulent Heliosphere


    year of publication: 2013 arXiv

    • Solar and Stellar Astrophysics
  • Complex multiplication cycles and Kudla-Rapoport divisors


    year of publication: 2013 arXiv

    • Number Theory
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