Publications

Preprints
Journal papers
Conference proceedings and book chapters
Other publications
Theses

Journal papers

1. M. Baradaran, P. Exner, J. Lipovský:
   Magnetic square lattice with vertex coupling of a preferred orientation
   Ann. Phys. 454 (2023), 169339. [mp_arc 23-4; arXiv:2302.04601 [math-ph]]
2. M. Baradaran, P. Exner, J. Lipovský:
   Magnetic ring chains with vertex coupling of a preferred orientation
   J. Phys. A: Math. Theor. 55 (2022), 375203. [mp_arc 21-1; arXiv: 2201.01502 [math-ph]]
3. M. Ławniczak, J. Lipovský, M. Białous, L. Sirko:
   Application of topological resonances in experimental investigation of a Fermi golden rule in microwave networks
   Phys. Rev. E 103 (2021), 032208 [arXiv: 2108.05584 [quant-ph]]
4. P. Freitas, J. Lipovský:
   A Gelfand-Levitan trace formula for generic quantum graphs
   Anal. Math. Phys. 11 (2021), 56 [mp_arc 19-4; arXiv: 1901.07790 [math-ph]; Preprint after peer review (This is a post-peer-review, pre-copyedit version of an article published in AAMP.)]
5. P. Freitas, J. Lipovský:
   The determinant of one-dimensional polyharmonic operators of arbitrary order
   J. Funct. Anal. 279 (2020), 108783 [arXiv: 2001.04703 [math-ph]]
6. P. Exner, J. Lipovský:
   Topological bulk-edge effects in quantum graph transport
   Phys. Lett. A 384 (2020), 126390 [mp_arc 20-5; arXiv: 2001.10735 [math-ph]]
7. P. Exner, J. Lipovský:
   Spectral asymptotics of the Laplacian on Platonic solids graphs
   J. Math. Phys. 60 (2019), 122101 [mp_arc 19-42; arXiv: 1906.09091 [math.sp]]
8. M. Ławniczak, J. Lipovský, and L. Sirko:
   Non-Weyl microwave graphs
   Phys. Rev. Lett. 122 (2019), 140503 [arXiv: 1904.06905 [quant-ph]]
9. P. Exner, J. Lipovský:
   Smilansky-Solomyak model with a δ'-interaction
   Phys. Lett. A 382 (2018), 1207 – 1213 [mp_arc 18-6; arXiv: 1801.08304 [math-ph]]
10. B. C. Lütfüoğlu, J. Lipovský, J. Kříž:
    Scattering of Klein-Gordon particles in the background of mixed scalar-vector generalized symmetric Woods-Saxon potential
    Eur. Phys. J. Plus 133 (2018), Article 17 [arXiv: 1801.06365 [math-ph]]
11. P. Freitas, J. Lipovský:
    Eigenvalue asymptotics for the damped wave equation on metric graphs
    J. Diff. Eq. 263 (2017), 2780–2811 [arXiv: 1307.6377 [math-ph]]
12. P. Exner, J. Lipovský:
    Pseudo-orbit approach to trajectories of resonances in quantum graphs with general vertex coupling: Fermi rule and high-energy asymptotics
    J. Math. Phys. 58 (2017), 042101 [mp_arc 16-67; arXiv: 1608.03978 [math-ph]]
13. J. Lipovský:
    Quantum graphs and their resonance properties
    Acta Physica Slovaca 66 (2016), no. 4, p. 265 – 363
14. J. Lipovský:
    On the effective size of a non-Weyl graph
    J. Phys. A: Math. Theor. 49 (2016), 375202 [mp_arc 15-65; arXiv: 1507.04176 [math-ph]]
15. P. Exner, J. Lipovský:
    Resonances on hedgehog manifolds
    Acta Polytechnica 53 (2013), 416-426 [mp_arc 13-11; arXiv: 1302.5269 [math-ph]]
16. P. Exner, J. Lipovský:
    Non-Weyl resonance asymptotics for quantum graphs in a magnetic field
    Phys. Lett. A 375 (2011), 805-807 [mp_arc 10-190; arXiv: 1011.5761 [math-ph]]
17. P. Exner, J. Lipovský:
    On the absence of absolutely continuous spectra for Schroedinger operators on radial tree graphs
    J. Math. Phys. 51 (2010), 122107 [mp_arc 10-59; arXiv: 1004.1980 [math-ph]]
18. E.B. Davies, P. Exner, J. Lipovský:
    Non-Weyl asymptotics for quantum graphs with general coupling conditions
    J. Phys. A 43 (2010), 474013 [mp_arc 10-58; arXiv: 1004.0856 [math-ph]]
19. P. Exner, J. Lipovský:
    Resonances from perturbations of quantum graphs with rationally related edges
    J. Phys. A 43 (2010), 105301 [mp_arc 09-216; arXiv: 0912.3936 [math-ph]]

Conference proceedings and book chapters

1. P. Exner, J. Lipovský:
   Spectral Transition Model with the General Contact Interaction.
   In: Brown, M., et al. From Complex Analysis to Operator Theory: A Panorama. Operator Theory: Advances and Applications, vol 291. Birkhäuser, Cham., 523–547 [mp_arc 22-34; arXiv: 2207.03713 [math-ph]]
2. V. Ježek, J. Lipovský:
   Application of quotient graph theory to three-edge star graphs
   Acta Physica Polonica A 140 (2021) 514–524 [mp_arc 21-44; arXiv: 2108.05253 [math-ph]]
3. M. Ławniczak, J. Lipovský, S. Bauch and L. Sirko:
   Unexpected Properties of Open Quantum Graphs and Microwave Networks
   In: Skiadas C., Dimotikalis Y. (eds) 12th Chaotic Modeling and Simulation International Conference. CHAOS 2019. Springer Proceedings in Complexity. Springer, Cham.
4. P. Freitas, J. Lipovský:
   Spectral determinant for the damped wave equation on an interval
   Acta Physica Polonica A 136 (2019), 817 – 823 [arXiv: 1908.06862 [math-ph]]
5. J. Lipovský, V. Lotoreichik:
   Asymptotics of resonances induced by point interactions
   Acta Physica Polonica A 132 (2017), no. 6 [mp_arc 17-84; arXiv: 1708.03509 [math-ph]]
6. J. Lipovský:
   Pseudo orbit expansion for the resonance condition on quantum graphs and the resonance asymptotics
   Acta Physica Polonica A 128 (2015), no. 6, p. 968 – 973 [mp_arc 15-73; arXiv: 1507.06845 [math-ph]]
7. J. Lipovský:
   An introduction to the spectral asymptotics of a damped wave equation on metric graphs
   Nanosystems: physics, chemistry, mathematics 6 (2015), no. 2, p. 182 – 191, special Issue: proceedings of the conference "Wave dynamics in low-dimensional branched structures"
8. P. Exner, J. Lipovský:
   Equivalence of resolvent and scattering resonances on quantum graphs
   in "Adventures in Mathematical Physics" (Proceedings, Cergy-Pontoise 2006), AMS "Contemporary Mathematics"Series, vol. 447, Providence, R.I., 2007; pp. 73-81. [mp_arc 06-302; math-ph/0610065]

Other publications

1. J. Lipovský:
   Rezonance v kvantových grafech
   Čs. čas. fyz. 64 (2014), no. 6., p. 353 – 356 [preprint]

Theses

My Ph.D. thesis (for copyright reasons without appendices).
Full text of my Ph.D. thesis at Charles University repository.
My habilitation thesis (for copyright reasons without appendices).
The text for the habilitation lecture.