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.

  • Chern forms of singular metrics on vector bundles


    year of publication: 2016 arXiv

    • Complex Variables

    MSC 2010: 14C17 32L05 32U40

  • Phase Singularities in Complex Arithmetic Random Waves


    year of publication: 2016 arXiv

    • Mathematical Physics
    • Probability
  • A reaction network approach to the convergence to equilibrium of quantum Boltzmann equations for Bose gases


    year of publication: 2016 arXiv

    • Analysis of PDEs
    • Classical Analysis and ODEs
    • Dynamical Systems
    • Mathematical Physics
  • A Short Counterexample Property for Safety and Liveness Verification of Fault-tolerant Distributed Algorithms


    year of publication: 2016 arXiv

    • Distributed
    • Parallel
    • and Cluster Computing
    • Logic in Computer Science
  • A gap theorem for free boundary minimal surfaces in the three-ball


    year of publication: 2016 arXiv

    • Differential Geometry
  • The multi-level Monte Carlo method for simulations of turbulent flows


    year of publication: 2016 arXiv

    • Computation
    • Computational Engineering
    • Finance
    • and Science
    • Numerical Analysis
  • Smallest homotopically trivial non-contractible spaces


    year of publication: 2016 arXiv

    • Algebraic Topology
    • Combinatorics

    MSC 2010: 06A99 55P15

  • Critical Points for Two-view Triangulation


    year of publication: 2016 arXiv

    • Algebraic Geometry
    • Computer Vision and Pattern Recognition
    • Optimization and Control
  • Slicing and dicing polytopes


    year of publication: 2016 arXiv

    • Combinatorics
    • Commutative Algebra
  • Positivity of line bundles on special blow ups of $\mathbb{P}^2$


    year of publication: 2016 arXiv

    • Algebraic Geometry

    MSC 2010: 14C20 14E25 14H50 14J26

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