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Mathematics

D-Index
32
Citations
4729
World Ranking
3174
National Ranking
23

Overview

Pavel Kurasov is affiliated with Stockholm University in Sweden and has contributed extensively to the fields of mathematics, computer science, and physics and astronomy. Their research spans a range of subfields including mathematical physics, computational theory and mathematics, geometry and topology, statistical and nonlinear physics, and atomic and molecular physics, and optics.

The scientist's work covers major topics such as spectral theory in mathematical physics, graph theory and applications, matrix theory and algorithms, quantum chaos and dynamical systems, magnetism in coordination complexes, advanced mathematical modeling in engineering, and numerical methods in inverse problems.

Pavel Kurasov has published scholarly articles in various venues. Selected recent papers include:

  • "Hearing Euler characteristic of graphs," 2020, Physical review. E
  • "A new spectral invariant for quantum graphs," 2021, Scientific Reports
  • "Asymptotically isospectral quantum graphs and generalised trigonometric polynomials," 2020, Journal of Mathematical Analysis and Applications
  • "Analytic solutions for stochastic hybrid models of gene regulatory networks," 2021, Journal of Mathematical Biology
  • "Gluing graphs and the spectral gap: a Titchmarsh-Weyl matrix-valued function approach," 2020, Studia Mathematica

Frequent co-authors collaborating with Kurasov include Michał Ławniczak, Leszek Sirko, Serguei Naboko, Szymon Bauch, and Delio Mugnolo.

Common publication venues for Pavel Kurasov's research are:

  • arXiv (Cornell University)
  • Acta Physica Polonica A
  • Scientific Reports
  • Physical review. E
  • Journal of Mathematical Analysis and Applications

In addition to articles, Kurasov has authored books published primarily by Springer Nature and the California Institute of Technology. Titles include:

  • "Spectral Geometry of Graphs" (2023)
  • "Analysis as a Tool in Mathematical Physics" (2020)
  • "Discrete and Continuous Models in the Theory of Networks" (2020)
  • "Analysis as a Tool in Mathematical Physics: In Memory of Boris Pavlov" (2020)

Best Publications

  • Singular perturbations of differential operators : solvable Schrödinger type operators

    Sergio Albeverio;Pavel Kurasov

  • Singular Perturbations of Differential Operators

    Sergio Albeverio;Pavel Kurasov

  • On the inverse scattering problem on branching graphs

    Pavel Kurasov;Fredrik Stenberg

  • Distribution Theory for Discontinuous Test Functions and Differential Operators with Generalized Coefficients

    Pavel Kurasov;Pavel Kurasov;Pavel Kurasov

  • Inverse spectral problem for quantum graphs

    Pavel Kurasov;Marlena Nowaczyk

  • Symmetries of Schrödinger operator with point interactions

    Sergio Albeverio;Ludwik Dabrowski;Pavel Kurasov

  • Inverse problems for quantum trees

    Serguei Avdonin;Pavel Kurasov

  • Point Interactions: PT -Hermiticity and Reality of the Spectrum

    Sergio Albeverio;Shao-Ming Fei;Shao-Ming Fei;Pavel Kurasov

  • Symmetries of quantum graphs and the inverse scattering problem

    Jan Boman;Pavel Kurasov

  • Surgery principles for the spectral analysis of quantum graphs

    Gregory Berkolaiko;James B. Kennedy;Pavel Kurasov;Delio Mugnolo

  • On the spectral gap of a quantum graph

    James B. Kennedy;Pavel Kurasov;Gabriela Malenová;Delio Mugnolo

  • Graph Laplacians and topology

    Pavel Kurasov

  • Rayleigh estimates for differential operators on graphs

    Pavel Kurasov;Sergey Naboko

  • Rank One Perturbations, Approximations, and Selfadjoint Extensions

    Sergio Albeverio;Pavel Kurasov;Pavel Kurasov;Pavel Kurasov

  • Schrödinger operators on graphs and geometry I: Essentially bounded potentials

    Pavel Kurasov

  • On the Coulomb potential in one dimension

    Pavel Kurasov

  • GEOMETRIC PROPERTIES OF QUANTUM GRAPHS AND VERTEX SCATTERING MATRICES

    Pavel Kurasov;Marlena Nowaczyk

  • Spectral gap for quantum graphs and their edge connectivity

    Pavel Kurasov;Gabriela Malenova;Sergey Naboko

  • S-matrix, resonances, and wave functions for transport through billiards with leads

    S. Albeverio;F. Haake;P. Kurasov;M. Kuś

  • Edge connectivity and the spectral gap of combinatorial and quantum graphs

    Gregory Berkolaiko;James B Kennedy;James B Kennedy;Pavel Kurasov;Delio Mugnolo

  • Finite rank perturbations and distribution theory

    Sergio Albeverio;Sergio Albeverio;Pavel Kurasov

Frequent Co-Authors

Sergio Albeverio
Sergio Albeverio University of Bonn
Shao-Ming Fei
Shao-Ming Fei Capital Normal University
Gregory Berkolaiko
Gregory Berkolaiko Texas A&M University
Mats Andersson
Mats Andersson Flinders University
Barry Simon
Barry Simon California Institute of Technology
Peter Sarnak
Peter Sarnak Princeton University

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