## Submitted

• Magda Khalile and Vladimir Lotoreichik
Spectral isoperimetric inequalities for Robin Laplacians on 2-manifolds and unbounded cones
arXiv.

Spectral isoperimetric inequality for the δ'-interaction on a contour
arXiv.

## Refereed publications

1. Jussi Behrndt, Pavel Exner, Markus Holzmann and Vladimir Lotoreichik
The Landau Hamiltonian with δ-potentials supported on curves
to appear in Rev. Math. Phys. arXiv.

2. Biagio Cassano and Vladimir Lotoreichik
Self-adjoint extensions of the two-valley Dirac operator with discontinuous infinite mass boundary conditions
to appear in Operators and Matrices. arXiv.

3. Pavel Exner and Vladimir Lotoreichik
Spectral asymptotics of the Dirichlet Laplacian on a generalized parabolic layer
to appear in Integral Equations and Operator Theory. arXiv.

4. Vladimir Lotoreichik and Thomas Ourmières-Bonafos
A sharp upper bound on the spectral gap for graphene quantum dots
Math. Phys. Anal. Geom. 22 (2019), 13. arXiv.

5. David Krejcirik and Vladimir Lotoreichik
Optimisation of the lowest Robin eigenvalue in the exterior of a compact set, II: non-convex domains and higher dimensions
to appear in Potential Anal. arXiv.

6. David Krejcirik, Vladimir Lotoreichik, and Miloslav Znojil
The minimally anisotropic metric operator in quasi-Hermitian quantum mechanics
Proc. R. Soc. A. 474 (2018), 0264. arXiv.

7. Pavel Exner, Vladimir Lotoreichik, and Axel Perez-Obiol
On the bound states of magnetic Laplacians on wedges
Rep. Math. Phys. 82 (2018), 161–185. arXiv.

8. Markus Holzmann and Vladimir Lotoreichik
Spectral analysis of photonic crystals made of thin rods
Asymptotic Anal. 110 (2018), 83–112. arXiv.

Spectral isoperimetric inequalities for singular interactions on open arcs
to appear in Appl. Anal. arXiv.

10. Jussi Behrndt, Matthias Langer, Vladimir Lotoreichik, and Jonathan Rohleder
Spectral enclosures for non-self-adjoint extensions of symmetric operators
J. Funct. Anal. 275 (2018), 1808–1888

11. Jussi Behrndt, Pavel Exner, Markus Holzmann and Vladimir Lotoreichik
On the spectral properties of Dirac operators with electrostatic δ-shell interactions
J. Math. Pures Appl. 111 (2018), 47–78. arXiv.

12. Pavel Exner, Sylwia Kondej, and Vladimir Lotoreichik
Asymptotics of the bound state induced by δ-interaction supported on a weakly deformed plane
J. Math. Phys. 59 (2018), 013501 (featured article). arXiv.

13. David Krejcirik and Vladimir Lotoreichik
Optimisation of the lowest Robin eigenvalue in the exterior of a compact set
J. Convex Anal. 25 (2018), 319–337. arXiv.

14. David Krejcirik, Vladimir Lotoreichik, and Thomas Ourmières-Bonafos
Spectral transitions for Aharonov-Bohm Laplacians on conical layers
to appear in Proc. Roy. Soc. Edinburgh Sect. A. arXiv.

15. Jiri Lipovsky and Vladimir Lotoreichik
Asymptotics of resonances induced by point interactions
Acta Phys. Pol. A. 132 (2017), 1677–1682. arXiv.

16. Jussi Behrndt, Pavel Exner, Markus Holzmann and Vladimir Lotoreichik
Approximation of Schrödinger operators with δ-interactions supported on hypersurfaces
Math. Nachr. 290 (2017), 1215–1248. arXiv.

17. Jussi Behrndt, Rupert L. Frank, Christian Kühn, Vladimir Lotoreichik and Jonathan Rohleder
Spectral theory for Schrödinger operators with δ-interactions supported on curves in ℝ³
Ann. Henri Poincaré 18 (2017), 1305–1347. arXiv.

18. Jussi Behrndt, Matthias Langer, Vladimir Lotoreichik, and Jonathan Rohleder
Quasi boundary triples and semibounded self-adjoint extensions
Proc. Roy. Soc. Edinburgh Sect. A. 147 (2017), 895–916. arXiv.

19. Vladimir Lotoreichik and Jonathan Rohleder
Eigenvalue inequalities for the Laplacian with mixed boundary conditions
J. Differential Equations 263 (2017), 491–508. arXiv.

20. Pavel Exner and Vladimir Lotoreichik
A spectral isoperimetric inequality for cones
Lett. Math. Phys. 107 (2017), 717–732. arXiv.

21. Pavel Exner, Vladimir Lotoreichik, and Miloš Tater
Spectral and resonance properties of the Smilansky Hamiltonian
Phys. Lett. A. 381 (2017), 756–761. arXiv.

22. Vladimir Lotoreichik and Petr Siegl
Spectra of definite type in waveguide models
Proc. Amer. Math. Soc. 145 (2017), 1231–1246. arXiv.

23. Michal Jex and Vladimir Lotoreichik
On absence of bound states for weakly attractive δ'-interactions supported on non-closed curves in ℝ²
J. Math. Phys. 57 (2016), 022101. arXiv.

24. Vladimir Lotoreichik and Thomas Ourmières-Bonafos
On the bound states of Schrödinger operators with δ-interactions on conical surfaces
Comm. Partial Differential Equations 41 (2016), 999–1028. arXiv.

25. Jussi Behrndt, Gerd Grubb, Matthias Langer, and Vladimir Lotoreichik
Spectral asymptotics for resolvent differences of elliptic operators with δ and δ'-interactions on hypersurfaces
J. Spectr. Theory. 5 (2015), 697–729. arXiv.

26. Vladimir Lotoreichik and Jonathan Rohlelder
An eigenvalue inequality for Schrödinger operators with δ and δ′-interactions supported on hypersurfaces
Oper. Theory Adv. Appl. 247 (2015), 173–184. arXiv.

27. Jussi Behrndt, Pavel Exner, and Vladimir Lotoreichik
Schrödinger operators with δ-interactions supported on conical surfaces
J. Phys. A: Math. Theor. 47 (2014), 355202 (16pp). arXiv. (Open Access).

28. Jussi Behrndt, Pavel Exner, and Vladimir Lotoreichik
Schrödinger operators with δ and δ′-interactions on Lipschitz surfaces and chromatic numbers of associated partitions
Rev. Math. Phys. 26 (2014), 1450015 (43pp). arXiv.

Lower bounds on the norms of extension operators for Lipschitz domains
Operators and Matrices 8 (2014), 573–592. arXiv.

30. Sylwia Kondej and Vladimir Lotoreichik
Weakly coupled bound state of 2-D Schrödinger operator with potential-measure
J. Math. Anal. Appl. 420 (2014), 1416–1438. arXiv. (Open Access).

31. Vladimir Lotoreichik and Sergey Simonov
Spectral analysis of the half-line Kronig-Penney model with Wigner-von Neumann perturbations
Rep. Math. Phys. 74 (2014), 45–72. arXiv.

32. Jussi Behrndt, Matthias Langer, and Vladimir Lotoreichik
Trace formulae and singular values of resolvent power differences of self-adjoint elliptic operators
J. London. Math. Soc. (2) 88 (2013), 319–337. arXiv.

33. Jussi Behrndt, Matthias Langer, and Vladimir Lotoreichik
Spectral estimates for resolvent differences of self-adjoint elliptic operators
Integral Equations and Operator Theory 77 (2013), 1–37. arXiv.

34. Jussi Behrndt, Matthias Langer, and Vladimir Lotoreichik
Schrödinger operators with δ and δ'-potentials supported on hypersurfaces
Ann. Henri Poincaré 14 (2013), 385–423. arXiv.

35. Vladimir Lotoreichik and Jonathan Rohleder
Schatten-von Neumann estimates for resolvent differences of Robin Laplacians on a half-space
Oper. Theory Adv. Appl. 221 (2012), 471–486. arXiv.

Singular continuous spectrum of half-line Schrödinger operators with point interactions on a sparse set
Opuscula Math. 31 (2011), 615–628. (Open Access).

37. Jussi Behrndt, Matthias Langer, Igor Lobanov, Vladimir Lotoreichik and Igor Yu. Popov
A remark on Schatten-von Neumann properties of resolvent differences of generalized Robin Laplacians on bounded domains
J. Math. Anal. Appl. 371 (2010), 750–758. arXiv.

38. Igor Lobanov, Vladimir Lotoreichik, and Igor Yu. Popov
Lower bound on the spectrum of the two-dimensional Schrödinger operator with a delta-perturbation on a curve
Theor. Math. Phys. 162 (2010), 332–340.

## Other publications

1. Pavel Exner and Vladimir Lotoreichik
Optimization of the lowest eigenvalue for leaky star graphs
to appear in the proceedings of the conference "Mathematical Results in Quantum Physics (QMath13)" arXiv.

2. Jussi Behrndt, Matthias Langer, and Vladimir Lotoreichik
Trace formulae for Schrödinger operators with singular interactions
The Pavel Exner Anniversary Volume, EMS (2017), 129–152. arXiv.

3. Pavel Exner, Vladimir Lotoreichik, and Miloš Tater
On resonances and bound states of Smilansky Hamiltonian
Nanosystems: Physics, Chemistry, Mathematics 7 (2016), 789–802. arXiv.

4. Jussi Behrndt, Matthias Langer, and Vladimir Lotoreichik,
Boundary triples for Schrödinger operators with singular interactions on hypersurfaces,
Nanosystems: Phys. Chem. Math. 7 (2016), 290–302.

5. Jussi Behrndt, Markus Holzmann, and Vladimir Lotoreichik
Convergence of 2D-Schrödinger operators with local scaled short-range interactions to a Hamiltonian with infinitely many delta-point interactions
Proc. Appl. Math. Mech. 14 (2014), 1005-1006. (Open Access).

6. Vladimir Lotoreichik, Hagen Neidhardt, and Igor Yu. Popov
Point contacts and boundary triples
Mathematical Results in Quantum Mechanics, Proceedings of the QMath12 Conference, P. Exner, W. König, and H. Neidhardt (eds), World Scientific, Singapore, 2015, pp. 283--293. arXiv.