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Topological and Geometric Data Analysis

69 works

  1. Phase transitions for a model with uncountable spin space on the Cayley tree: the general case

    G. I. Botirov, Benedikt Jahnel

    PreprintTheoretical and Computational PhysicsPositivity20180 citations
    ABI

  2. Phase transitions for a model with uncountable spin space on the Cayley\n tree: the general case

    G. I. Botirov, Benedikt Jahnel

    PreprintTheoretical and Computational PhysicsarXiv (Cornell University)20180 citations
    ABI

  3. On the notion of weak isometry for finite metric spaces

    Alessandro De Gregorio, Ulderico Fugacci, Facundo Mémoli +1

    PreprintTopological and Geometric Data AnalysisarXiv (Cornell University)20200 citations
    ABI

  4. $$p$$-Adic Dynamical Systems of the Function $$a x^{-2}$$

    U. A. Rozikov

    Articleadvanced mathematical theoriesP-Adic Numbers Ultrametric Analysis and Applications20210 citations
    ABI

  5. Functor of Idempotent Probability Measures with Compact Support and Open Mappings

    A. Ya. Ishmetov

    ArticleTopological and Geometric Data AnalysisContemporary Mathematics Fundamental Directions20210 citations
    ABI

  6. Homological scaffold via minimal homology bases

    Marco Guerra, Alessandro De Gregorio, Ulderico Fugacci +2

    PreprintTopological and Geometric Data AnalysisScientific Reports20210 citations
    ABI

  7. Relative-perfectness of discrete gradient vector fields and multi-parameter persistent homology

    Claudia Landi, Sara Scaramuccia

    PreprintTopological and Geometric Data AnalysisJournal of Combinatorial Optimization20210 citations
    ABI

  8. Huygens' equations and the gradient-flow equations in information geometry

    Tatsuaki Wada, A.M. Scarfone, Hiroshi Matsuzoe

    PreprintTopological and Geometric Data AnalysisarXiv (Cornell University)20210 citations
    ABI

  9. Covariant Functors and Shapes in Category of Compacta

    T. F. Zhuraev, З. О. Турсунова, K. R. Zhuvonov

    ArticleAdvanced Topology and Set TheoryJournal of Mathematical Sciences20220 citations
    ABI

  10. Ergodicity and Periodic Orbits of $$p$$-Adic $$(1,2)$$-Rational Dynamical Systems with Two Fixed Points

    I. A. Sattarov, E. T. Aliev

    Articleadvanced mathematical theoriesP-Adic Numbers Ultrametric Analysis and Applications20230 citations
    ABI

  11. Hausdorff dimension of invariant measures of piecewise smooth circle maps with two breaks

    Akhtam Dzhalilov, A. Aliyev

    ArticleMathematical Dynamics and FractalsAIP conference proceedings20230 citations
    ABI

  12. On euclidean manifolds being a subspace of the space ofprobability measures with finite supports to a certain infinite compact set of dimension zero

    M. V. Dolgopolov, T. F. Zhuraev

    ArticleAdvanced Topology and Set TheoryVestnik of Samara University Natural Science Series20230 citations
    ABI

  13. Dynamical Systems of Möbius Transformation: Real, $$p$$-Adic and Complex Variables

    E. T. Aliev, U. A. Rozikov

    Articleadvanced mathematical theoriesP-Adic Numbers Ultrametric Analysis and Applications20240 citations
    ABI

  14. Меры Гиббса для плодородных моделей с жесткими взаимодействиями и с четырьмя состояниями

    Р. М. Хакимов, Bakhtier Zokirzhon ugli Tozhiboev

    ArticleTopological and Geometric Data AnalysisТеоретическая и математическая физика20240 citations
    ABI

  15. Imaging sound-soft targets in waveguides using the topological derivative

    Umid Karimov, Peter Monk, Virginia Selgás

    ArticleMedical Imaging Techniques and ApplicationsInverse Problems20250 citations
    ABI

  16. Topological properties of the Minkowski operations

    Jalolxon Nuritdinov, Dilshod Aroev, Khurshidzhon Zhumakulov +1

    ArticleTopological and Geometric Data AnalysisAIP conference proceedings20250 citations
    ABI

  17. A Family of Representations of the Poincaré Group

    Reinhard Horst Beyer

    ChapterTopological and Geometric Data AnalysisSynthesis lectures on engineering, science, and technology20250 citations
    ABI

  18. Regression-based analysis of topological indices in simple molecular graphs of anti-HIV drug compounds

    Yasir Bashir, Bilal A. Chat, Bilal Ahmad Rather

    ArticleGraph theory and applicationsThe Journal of Supercomputing20260 citations
    ABI

  19. A novel computational study of reverse degree topological indices and entropies for nanostar dendrimers

    Ashfaq Ahmed Qummer, Muhammad Saqib, Sajid Ali +2

    ArticleGraph theory and applicationsScientific Reports20260 citations
    ABI