Naboko, Serguei, Simonov, Sergey
We consider a class of Jacobi matrices with periodically modulated diagonal in a critical hyperbolic ("double root") situation. For the model with "non-smooth" matrix entries we obtain the...
Decay Bounds on Eigenfunctions and the Singular Spectrum of Unbounded Jacobi Matrices (2009)
Janas, Jan, Naboko, Serguei, Stolz, Günter
Bounds on the exponential decay of generalized eigenfunctions of bounded and unbounded selfadjoint Jacobi matrices in are established. Two cases are considered separately and lead to different...
Brown, Malcolm, Hinchcliffe, James, Marletta, Marco, Naboko, Serguei, Wood, Ian
In the setting of adjoint pairs of operators we consider the question: to what extent does the Weyl M-function see the same singularities as the resolvent of a certain restriction $A_B$ of the...
LOCALIZATION NEAR FLUCTUATION BOUNDARIES VIA FRACTIONAL MOMENTS AND APPLICATIONS (2008)
Anne Boutet, De Monvel, Serguei Naboko, Peter Stollmann, Gunter Stolz
Abstract. We present a new, short, self-contained proof of localization properties of multi-dimensional continuum random Schrödinger operators in the fluctuation boundary regime. Our method is based...
Generalized Polar Decompositions for Closed Operators in Hilbert Spaces and Some Applications (2008)
Gesztesy, Fritz, Malamud, Mark, Mitrea, Marius, Naboko, Serguei
We study generalized polar decompositions of densely defined, closed linear operators in Hilbert spaces and provide some applications to relatively (form) bounded and relatively (form) compact...
Naboko, Serguei, Pchelintseva, Irina, Silva, Luis O.
For a two-parameter family of Jacobi matrices exhibiting first-order spectral phase transitions, we prove discreteness of the spectrum in the positive real axis when the parameters are in one of the...
Brown, B. Malcolm, Marletta, Marco, Naboko, Serguei, Wood, Ian
The full text of this article will be made available in this repository in June 2009
Essential Spectrum Due to Singularity (2008)
Lund University, May 23–25, 2002 It is proven that the essential spectrum of any self-adjoint operator associated with the matrix differential expression − d
Brown, Malcolm, Marletta, Marco, Naboko, Serguei, Wood, Ian
Starting with an adjoint pair of operators, under suitable abstract versions of standard PDE hypotheses, we consider the Weyl M-function of extensions of the operators. The extensions are determined...
Decay bounds on eigenfunctions and the singular spectrum of unbounded Jacobi matrices (2007)
Janas, Jan, Naboko, Serguei, Stolz, Günter
Bounds on the exponential decay of generalized eigenfunctions of bounded and unbounded selfadjoint Jacobi matrices are established. Two cases are considered separately: (i) the case in which the...
It is proven that the essential spectrum of any self-adjoint operator associated with the matrix di#erential expression
The critical temperature for the BCS equation at weak coupling (2007)
Frank, Rupert L., Hainzl, Christian, Naboko, Serguei, Seiringer, Robert
For the BCS equation with local two-body interaction $\lambda V(x)$, we give a rigorous analysis of the asymptotic behavior of the critical temperature as $\lambda \to 0$. We derive necessary and...
Brown, Malcolm, Marletta, Marco, Naboko, Serguei, Wood, Ian
Starting with an adjoint pair of operators, under suitable abstract versions of standard PDE hypotheses, we consider the Weyl M-function of extensions of the operators. The extensions are determined...
Damanik, David, Naboko, Serguei
We consider a class of Jacobi matrices with unbounded coefficients. This class is known to exhibit a first-order phase transition in the sense that, as a parameter is varied, one has purely discrete...
Localization near fluctuation boundaries via fractional moments and applications (2005)
De Monvel, Anne Boutet, Naboko, Serguei, Stollmann, Peter, Stolz, Günter
We present a new, short, self-contained proof of localization properties of multi-dimensional continuum random Schr\"odinger operators in the fluctuation boundary regime. Our method is based on the...
Moment Analysis for Localization in Random Schroedinger Operators (2003)
Aizenman, Michael, Elgart, Alexander, Naboko, Serguei, Schenker, Jeffrey H., Stolz, Gunter
We study localization effects of disorder on the spectral and dynamical properties of Schroedinger operators with random potentials. The new results include exponentially decaying bounds on the...