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.

  • Combinatorial results on (1,2,1,2)-avoiding $GL(p,\mathbb{C}) \times GL(q,\mathbb{C})$-orbit closures on $GL(p+q, \mathbb{C})/B$


    year of publication: 2014 arXiv

    • Algebraic Geometry
    • Combinatorics
    • Representation Theory
  • Asymptotics of eigenstates of elliptic problems with mixed boundary data on domains tending to infinity


    year of publication: 2014 arXiv

    • Analysis of PDEs
  • Syzygies, finite length modules, and random curves


    year of publication: 2014 arXiv

    • Algebraic Geometry
    • Commutative Algebra
  • Equilibrating dynamics in quenched Bose gases: characterizing multiple time regimes


    year of publication: 2014 arXiv

    • Quantum Gases
  • On some varieties associated with trees


    year of publication: 2014 arXiv

    • Quantum Algebra
  • Vertically symmetric alternating sign matrices and a multivariate Laurent polynomial identity


    year of publication: 2014 arXiv

    • Combinatorics

    MSC 2010: 05A15

  • Canonical bases in tensor products revisited


    year of publication: 2014 arXiv

    • Representation Theory
  • On the existence of topological hairy black holes in $\mathfrak{su}(N)$ EYM theory with a negative cosmological constant


    year of publication: 2014 arXiv

  • Optimization problems involving the first Dirichlet eigenvalue and the torsional rigidity


    year of publication: 2014 arXiv

    • Optimization and Control

    MSC 2010: 35J25 35P15 47A75 49J45 49R05

  • Superspecial rank of supersingular abelian varieties and Jacobians


    year of publication: 2014 arXiv

    • Algebraic Geometry
    • Number Theory

    MSC 2010: 11G10 11G20 14F40 14H40 14L15

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