| Publication | Date of Publication | Type |
|---|
| On perturbation of thresholds in essential spectrum under coexistence of virtual level and spectral singularity | 2024-03-21 | Paper |
| Eigenvalues bifurcating from the continuum in two-dimensional potentials generating non-Hermitian gauge fields | 2024-02-07 | Paper |
| Resolvent of a Schrödinger operator on a model graph with small loops | 2024-02-06 | Paper |
| Asymptotic analysis of boundary-value problems for the Laplace operator with frequently alternating type of boundary conditions | 2024-02-06 | Paper |
| Exotic eigenvalues and analytic resolvent for a graph with a shrinking edge | 2023-11-20 | Paper |
| Non-local convolution type operators with potential: essential and infinite discrete spectrum | 2023-11-15 | Paper |
| Operator estimates in two-dimensional problems with a frequent alternation in the case of small parts with the Dirichlet condition | 2023-09-18 | Paper |
| Asymptotic expansion of solution to Dirichlet problem in perforated domain: strange term case | 2023-09-11 | Paper |
| Approximation of point interactions by geometric perturbations in two-dimensional domains | 2023-09-08 | Paper |
| Spectrum of a convolution operator with potential | 2023-09-01 | Paper |
| Asymptotics for problems in perforated domains with Robin nonlinear condition on the boundaries of cavities | 2023-09-01 | Paper |
| On the bifurcation of thresholds of the essential spectrum with a spectral singularity | 2023-07-11 | Paper |
| Homogenization for operators with arbitrary perturbations in coefficients | 2023-07-06 | Paper |
| Homogenization of operators with perturbations of general form in the lower-order terms | 2023-03-17 | Paper |
| Spacing gain and absorption in a simple $ \newcommand{\PT}{\mathcal{PT}} \PT$ -symmetric model: spectral singularities and ladders of eigenvalues and resonances | 2023-01-04 | Paper |
| Taylor series for resolvents of operators on graphs with small edges | 2022-11-17 | Paper |
| Operator \(L_2\)-estimates for two-dimensional problems with rapidly alternating boundary conditions | 2022-10-28 | Paper |
| Operator estimates for non-periodically perforated domains: disappearance of cavities | 2022-10-23 | Paper |
| On the spectrum of convolution operator with a potential | 2022-09-23 | Paper |
| Bifurcations of essential spectra generated by a small non-Hermitian hole. II: Eigenvalues and resonances | 2022-09-14 | Paper |
| Operator estimates for planar domains with irregularly curved boundary. The Dirichlet and Neumann conditions | 2022-08-03 | Paper |
| Arnold's potentials and quantum catastrophes. II | 2022-06-14 | Paper |
| Operator estimates for non-periodically perforated domains with Dirichlet and nonlinear Robin conditions: strange term | 2022-05-19 | Paper |
| Norm resolvent convergence of elliptic operators in domains with thin spikes | 2022-04-06 | Paper |
| Norm convergence for problems with perforation along a given manifold with nonlinear Robin condition on boundaries of cavities | 2022-02-22 | Paper |
| Analyticity of resolvents of elliptic operators on quantum graphs with small edges | 2022-02-11 | Paper |
| On spectra of convolution operators with potentials | 2022-01-12 | Paper |
| Bifurcations of essential spectra generated by a small non-Hermitian hole. I: Meromorphic continuations | 2021-12-17 | Paper |
| Uniform convergence and asymptotics for problems in domains finely perforated along a prescribed manifold in the case of the homogenized Dirichlet condition | 2021-11-17 | Paper |
| Quantum graphs with small edges: holomorphy of resolvents | 2021-11-11 | Paper |
| On occurrence of resonances from multiple eigenvalues of the Schrödinger operator in a cylinder with distant perturbations | 2021-09-29 | Paper |
| Anomalous mechanisms of the loss of observability in non-Hermitian quantum models | 2021-09-20 | Paper |
| On discrete spectrum of a model graph with loop and small edges | 2021-09-13 | Paper |
| On lacunas in the spectrum of the Laplacian with the Dirichlet boundary condition in a band with oscillating boundary | 2021-08-20 | Paper |
| Bifurcations of thresholds in essential spectra of elliptic operators under localized non‐Hermitian perturbations | 2021-07-02 | Paper |
| On infinite system of resonance and eigenvalues with exponential asymptotics generated by distant perturbations | 2021-04-29 | Paper |
| Quantum Hamiltonians with weak random abstract perturbation. II: Localization in the expanded spectrum | 2021-03-18 | Paper |
| On lacunas in the lower part of the spectrum of the periodic magnetic operator in a strip | 2021-03-12 | Paper |
| On finitely many resonances emerging under distant perturbations in multi-dimensional cylinders | 2021-03-01 | Paper |
| On elliptic operators with Steklov condition perturbed by Dirichlet condition on a small part of boundary | 2021-02-19 | Paper |
| On a model graph with a loop and small edges. Holomorphy property of resolvent | 2020-12-08 | Paper |
| Perturbations of the continuous spectrum of a certain nonlinear two-dimensional operator sheaf | 2020-12-08 | Paper |
| On spectral gaps of a Laplacian in a strip with a bounded periodic perturbation | 2020-12-02 | Paper |
| Simplest graphs with small edges: asymptotics for resolvents and holomorphic dependence of spectrum | 2020-12-02 | Paper |
| Gap opening in two-dimensional periodic systems | 2020-10-26 | Paper |
| Resonant interaction of \(\phi^4\) kink with \(\mathcal{PT}\)-symmetric perturbation with spatially periodic gain/loss coefficient | 2020-10-21 | Paper |
| Analytic continuation of resolvents of elliptic operators in a multidimensional cylinder | 2020-09-28 | Paper |
| Kink scattering from a parity-time-symmetric defect in the \(\phi^4\) model | 2020-09-10 | Paper |
| Spectra of operator pencils with small 𝒫𝒯-symmetric periodic perturbation | 2020-05-11 | Paper |
| Elliptic operators in multidimensional cylinders with frequently alternating boundary conditions along a given curve | 2020-03-25 | Paper |
| Gaps in the spectrum of the Laplacian in a strip with periodic delta interaction | 2020-01-14 | Paper |
| Sequences of closely spaced resonances and eigenvalues for bipartite complex potentials | 2019-11-21 | Paper |
| Estimates of initial scales for layers with small random negative-definite perturbations | 2019-10-29 | Paper |
| Bethe-Sommerfeld conjecture for periodic Schrödinger operators in strip | 2019-08-21 | Paper |
| Spacing gain and absorption in a simple $\mathcal{PT}$-symmetric model: spectral singularities and ladders of eigenvalues and resonances | 2019-08-18 | Paper |
| Perturbation of threshold of the essential spectrum of the Schrödinger operator on the simplest graph with a small edge | 2019-07-22 | Paper |
| Mathematical and Physical Meaning of the Crossings of Energy Levels in $${\mathscr {PT}}$$ PT -Symmetric Systems | 2018-11-20 | Paper |
| Absence of gaps in a lower part of the spectrum of a Laplacian with frequent alternation of boundary conditions in a strip | 2018-10-15 | Paper |
| The norm resolvent convergence for elliptic operators in multi-dimensional domains with small holes | 2018-08-16 | Paper |
| Two patterns of \(\mathcal{PT}\)-symmetry breakdown in a non-numerical six-state simulation | 2018-06-27 | Paper |
| Spectral localization for quantum Hamiltonians with weak random delta interaction | 2018-06-04 | Paper |
| The spectrum of geodesic balls on spherically symmetric manifolds | 2018-01-09 | Paper |
| Scale-free quantitative unique continuation and equidistribution estimates for solutions of elliptic differential equations | 2018-01-08 | Paper |
| Expansion of the spectrum in the weak disorder regime for random operators in continuum space | 2017-11-27 | Paper |
| On eigenvalues of a $ \mathscr{P\!T}$-symmetric operator in a thin layer | 2017-06-30 | Paper |
| On the Spectral Stability of Kinks in 2D Klein-Gordon Model with Parity-Time-Symmetric Perturbation | 2017-04-26 | Paper |
| Homogenization and norm-resolvent convergence for elliptic operators in a strip perforated along a curve | 2017-01-16 | Paper |
| Existence of the stationary solution of a Rayleigh-type equation | 2016-10-18 | Paper |
| Quantum Hamiltonians with weak random abstract perturbation. I: Initial length scale estimate | 2016-09-14 | Paper |
| On a one-dimensional quadratic operator pencil with a small periodic perturbation | 2016-07-26 | Paper |
| Creation of spectral bands for a periodic domain with small windows | 2016-07-06 | Paper |
| Equidistribution estimates for eigenfunctions and eigenvalue bounds for random operators | 2016-06-24 | Paper |
| On the resolvent of multidimensional operators with frequently alternating boundary conditions with the Robin homogenized condition | 2016-06-07 | Paper |
| Multiscale Unique Continuation Properties of Eigenfunctions | 2016-04-21 | Paper |
| The emergence of eigenvalues of a \(\mathcal{PT}\)-symmetric operator in a thin strip | 2016-04-14 | Paper |
| Expansion of the almost sure spectrum in the weak disorder regime | 2016-01-28 | Paper |
| Perturbation of threshold of essential spectrum for waveguides with windows. II: Asymptotics | 2016-01-19 | Paper |
| Multiply degenerate exceptional points and quantum phase transitions | 2016-01-13 | Paper |
| On the band spectrum of a Schrödinger operator in a periodic system of domains coupled by small windows | 2015-08-10 | Paper |
| Perturbation of threshold of essential spectrum for waveguides with windows. I: Decreasing resonance solutions | 2015-07-30 | Paper |
| Initial length scale estimate for waveguides with some random singular potentials | 2015-07-08 | Paper |
| On the extrema of band functions in periodic waveguides | 2015-01-05 | Paper |
| Norm-resolvent convergence for elliptic operators in domain with perforation along curve | 2014-10-24 | Paper |
| Asymptotics for the expected lifetime of Brownian motion on thin domains in \(\mathbb R^n\) | 2014-09-18 | Paper |
| Homogenization and asymptotics for a waveguide with an infinite number of closely located small windows | 2014-06-24 | Paper |
| On a \(\mathcal{PT}\)-symmetric waveguide with a pair of small holes | 2014-04-23 | Paper |
| Low lying eigenvalues of randomly curved quantum waveguides | 2014-03-21 | Paper |
| Discrete spectrum of thin PT-symmetric waveguide | 2014-03-18 | Paper |
| Uniform resolvent convergence for strip with fast oscillating boundary | 2014-02-25 | Paper |
| Tunneling resonances in systems without a classical trapping | 2014-02-05 | Paper |
| On the spectrum of deformations of compact double-sided flat hypersurfaces | 2014-01-24 | Paper |
| Planar waveguide with “twisted” boundary conditions: Small width | 2013-11-11 | Paper |
| Planar waveguide with “twisted” boundary conditions: Discrete spectrum | 2013-10-16 | Paper |
| Gap opening and split band edges in waveguides coupled by a periodic system of small windows | 2013-08-16 | Paper |
| Quantum waveguides with small periodic perturbations: gaps and edges of Brillouin zones | 2013-07-11 | Paper |
| Waveguide with non-periodically alternating Dirichlet and Robin conditions: Homogenization and asymptotics | 2013-06-25 | Paper |
| Spectral gaps for self-adjoint second order operators | 2012-12-06 | Paper |
| Eigenvalue asymptotics for almost flat compact hypersurfaces | 2012-05-10 | Paper |
| Asymptotics of the eigenvalues of elliptic systems with fast oscillating coefficients | 2012-03-14 | Paper |
| The effective Hamiltonian for thin layers with non-Hermitian Robin-type boundary conditions | 2012-01-25 | Paper |
| Complete asymptotic expansions for eigenvalues of Dirichlet Laplacian in thin three-dimensional rods | 2011-09-27 | Paper |
| On the spectrum of a two-dimensional periodic operator with a small localized perturbation | 2011-08-08 | Paper |
| On a waveguide with frequently alternating boundary conditions: homogenized Neumann condition | 2011-03-10 | Paper |
| Asymptotics for the solutions of elliptic systems with rapidly oscillating coefficients | 2011-03-02 | Paper |
| On a waveguide with an infinite number of small windows | 2011-02-21 | Paper |
| Low lying spectrum of weak-disorder quantum waveguides | 2011-02-17 | Paper |
| Discrete spectrum of the Schrödinger operator perturbed by a narrowly supported potential | 2010-01-17 | Paper |
| Asymptotics of Dirichlet eigenvalues and eigenfunctions of the Laplacian on thin domains in \(\mathbb R^d\) | 2010-01-11 | Paper |
| The spectrum of the Schrödinger operator with a rapidly oscillating compactly supported potential | 2010-01-09 | Paper |
| Homogenization of the planar waveguide with frequently alternating boundary conditions | 2009-12-14 | Paper |
| Eigenvalue asymptotics, inverse problems and a trace formula for the linear damped wave equation | 2009-11-23 | Paper |
| \(\mathcal {PT}\)-symmetric waveguides | 2009-07-01 | Paper |
| Singular asymptotic expansions for Dirichlet eigenvalues and eigenfunctions of the Laplacian on thin planar domains | 2009-04-16 | Paper |
| Asymptotics of the spectrum of the Schrödinger operator perturbed by a rapidly oscillating periodic potential | 2009-03-09 | Paper |
| The spectrum of a periodic operator with a small localized perturbation | 2009-01-19 | Paper |
| On the spectrum of a periodic operator with a small localized perturbation | 2009-01-09 | Paper |
| Some singular perturbations of periodic operators | 2008-05-20 | Paper |
| Discrete spectrum of an asymmetric pair of waveguides coupled through a window | 2008-04-28 | Paper |
| Asymptotic behaviour of the spectrum of a waveguide with distant perturbations | 2008-03-11 | Paper |
| The spectrum of a self-adjoint differential operator with rapidly oscillating coefficients on the axis | 2008-01-30 | Paper |
| Distant perturbations of the Laplacian in a multi-dimensional space | 2007-12-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5310939 | 2007-10-15 | Paper |
| The spectrum of two quantum layers coupled by a window | 2007-07-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3446470 | 2007-06-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3441159 | 2007-05-29 | Paper |
| Distant perturbation asymptotics in window-coupled waveguides. I. The nonthreshold case | 2007-05-16 | Paper |
| On a Laplacian with frequently nonperiodically alternating boundary conditions | 2007-01-12 | Paper |
| Discrete spectrum of a pair of nonsymmetric waveguides coupled by a window | 2005-12-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5715034 | 2005-12-19 | Paper |
| Asymptotics and estimates for the eigenelements of the Laplacian with frequently alternating non-periodic boundary conditions | 2005-05-17 | Paper |
| Spectrum of the magnetic Schrödinger operator in a waveguide with combined boundary conditions | 2005-05-13 | Paper |
| Geometric coupling thresholds in a two-dimensional strip | 2004-12-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4469375 | 2004-06-14 | Paper |
| Exponential splitting of bound states in a waveguide with a pair of distant windows | 2004-06-09 | Paper |
| Boundary-value problem in a cylinder with frequently changing type of boundary | 2004-03-08 | Paper |
| Two-parameter asymptotics in a boundary value problem for the Laplacian. | 2003-06-15 | Paper |
| On a singularly perturbed boundary value problem for the Laplacian in a cylinder | 2003-05-25 | Paper |
| Asymptotics and Estimates of Degrees of Convergence in Three-Dimensional Boundary Value Problem with Frequent Interchange of Boundary Conditions | 2002-09-12 | Paper |
| Bound states in weakly deformed strips and layers. | 2002-01-02 | Paper |
| On the spectrum of the Laplacian with frequently alternating boundary conditions | 2000-10-09 | Paper |
