Results 1 to 10 of about 860 (42)
Large-scale behaviour of local and entanglement entropy of the free Fermi gas at any temperature [PDF]
, 2016 The leading asymptotic large-scale behaviour of the spatially bipartite entanglement entropy (EE) of the free Fermi gas infinitely extended in multidimensional Euclidean space at zero absolute temperature, T=0, is by now well understood. Here, we present
Leschke, Hajo +2 more
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Real symmetric random matrices and paths counting [PDF]
, 2004 Exact evaluation of $$ is here performed for real symmetric matrices $S$ of arbitrary order $n$, up to some integer $p$, where the matrix entries are independent identically distributed random variables, with an arbitrary probability distribution ...
A. M. Khorunzhy +5 more
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Spectral properties of singular Sturm-Liouville operators with indefinite weight sgn x [PDF]
, 2007 We consider a singular Sturm-Liouville expression with the indefinite weight sgn x. To this expression there is naturally a self-adjoint operator in some Krein space associated.
Karabash, I., Trunk, C.
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, 2016 We recall criteria on the spectrum of Jacobi matrices such that the corresponding isospectral torus consists of periodic operators. Motivated by those known results for Jacobi matrices, we define a new class of operators called GMP matrices.
Eichinger, Benjamin
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Initial Value Problems for Integrable Systems on a Semi-Strip [PDF]
, 2016 Two important cases, where boundary conditions and solutions of the well-known integrable equations on a semi-strip are uniquely determined by the initial conditions, are rigorously studied in detail.
Sakhnovich, Alexander L.
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Spectrum of the Laplacian in a narrow curved strip with combined Dirichlet and Neumann boundary conditions [PDF]
, 2008 We consider the Laplacian in a domain squeezed between two parallel curves in the plane, subject to Dirichlet boundary conditions on one of the curves and Neumann boundary conditions on the other.
Krejcirik, David
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The a priori Tan Theta Theorem for spectral subspaces
, 2012 Let A be a self-adjoint operator on a separable Hilbert space H. Assume that the spectrum of A consists of two disjoint components s_0 and s_1 such that the set s_0 lies in a finite gap of the set s_1.
Alexander K. Motovilov +8 more
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Perturbation of spectra and spectral subspaces
, 2007 We consider the problem of variation of spectral subspaces for linear self-adjoint operators under off-diagonal perturbations. We prove a number of new optimal results on the shift of the spectrum and obtain (sharp) estimates on the norm of the ...
Kostrykin, Vadim +2 more
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Bounds on the spectrum and reducing subspaces of a J-self-adjoint operator
, 2009 Given a self-adjoint involution J on a Hilbert space H, we consider a J-self-adjoint operator L=A+V on H where A is a possibly unbounded self-adjoint operator commuting with J and V a bounded J-self-adjoint operator anti-commuting with J.
Albeverio, Sergio +2 more
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Unboundedness of adjacency matrices of locally finite graphs
, 2010 Given a locally finite simple graph so that its degree is not bounded, every self-adjoint realization of the adjacency matrix is unbounded from above. In this note we give an optimal condition to ensure it is also unbounded from below.
B. Mohar +5 more
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