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.

  • Numerical solution of steady-state groundwater flow and solute transport problems: Discontinuous Galerkin based methods compared to the Streamline Diffusion approach


    year of publication: 2014 arXiv

    • Distributed
    • Parallel
    • and Cluster Computing
    • Numerical Analysis
  • On the geometry behind a recurrent relation


    year of publication: 2014 arXiv

    • Number Theory

    MSC 2010: 11B37 11B57

  • Capacity of a Simple Intercellular Signal Transduction Channel


    year of publication: 2014 arXiv

    • Molecular Networks
  • A bound from below on the temperature for the Navier-Stokes-Fourier system


    year of publication: 2014 arXiv

    • Analysis of PDEs
  • Efficient Representations for Life-Long Learning and Autoencoding


    year of publication: 2014 arXiv

    • Machine Learning
  • The edit distance for Reeb graphs of surfaces


    year of publication: 2014 arXiv

    • Computational Geometry

    MSC 2010: 05C10 54C30 68T10

  • Anomalous partially hyperbolic diffeomorphisms I: dynamically coherent examples


    year of publication: 2014 arXiv

    • Dynamical Systems
  • A game with divisors and absolute differences of exponents


    year of publication: 2014 arXiv

    • Number Theory

    MSC 2010: 11B85 39A10

  • Explicit surjectivity of Galois representations attached to abelian surfaces and $\operatorname{GL}_2$-varieties


    year of publication: 2014 arXiv

    • Number Theory

    MSC 2010: 11F80 11G10 14K15

  • Super-replication with nonlinear transaction costs and volatility uncertainty


    year of publication: 2014 arXiv

    • Mathematical Finance
    • Probability

    MSC 2010: 91G10 91G60

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