Temat: discrete spectrum asymptotics - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Asymptotic expansion of large eigenvalues for a class of unbounded Jacobi matrices
Autorzy:: Harrat, Ayoub
Zerouali, El Hassan
Zielinski, Lech
Powiązania:: https://bibliotekanauki.pl/articles/255073.pdf
Data publikacji:: 2020
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: tridiagonal matrix
band matrix
unbounded self-adjoint operator discrete spectrum
large eigenvalues
asymptotics
Opis:: We investigate a class of infinite tridiagonal matrices which define unbounded self-adjoint operators with discrete spectrum. Our purpose is to establish the asymptotic expansion of large eigenvalues and to compute two correction terms explicitly.
Źródło:: Opuscula Mathematica; 2020, 40, 2; 241-270
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Maximum packings of the a-fold complete 3-uniform hypergraph with loose 3-cycles
Autorzy:: Bunge, Ryan C.
Collins, Dontez
Conko-Camel, Daryl
El-Zanati, Saad I.
Liebrecht, Rachel
Vasquez, Alexander
Powiązania:: https://bibliotekanauki.pl/articles/255534.pdf
Data publikacji:: 2020
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: tridiagonal matrix
band matrix
unbounded self-adjoint operator discrete spectrum
large eigenvalues
asymptotics
Opis:: It is known that the 3-uniform loose 3-cycle decomposes the complete 3-uniform hypergraph of order v if and only if v ≡0, 1, or 2 (mod 9). For all positive integers λand v, we find a maximum packing with loose 3-cycles of the λ-fold complete 3-uniform hypergraph of order v. We show that, if v ≥6, such a packing has a leave of two or fewer edges.
Źródło:: Opuscula Mathematica; 2020, 40, 2; 209-225
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: On the eigenvalues of a 2 x 2 block operator matrix
Autorzy:: Muminov, M. I.
Rasulov, T. H.
Powiązania:: https://bibliotekanauki.pl/articles/254735.pdf
Data publikacji:: 2015
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: block operator matrix
Fock space
discrete and essential spectra
Birman-Schwinger principle
Efimov effect
discrete spectrum asymptotics
embedded eigenvalues
Opis:: A 2 x 2 block operator matrix H acting in the direct sum of one- and two-particle subspaces of a Fock space is considered. The existence of infinitely many negative eigenvalues of H22 (the second diagonal entry of H) is proved for the case where both of the associated Friedrichs models have a zero energy resonance. For the number N(z) of eigenvalues of H22 lying below z < 0, the following asymptotics is found [formula]. Under some natural conditions the infiniteness of the number of eigenvalues located respectively inside, in the gap, and below the bottom of the essential spectrum of H is proved.
Źródło:: Opuscula Mathematica; 2015, 35, 3; 371-395
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: A first-order spectral phase transition in a class of periodically modulated Hermitian Jacobi matrices
Autorzy:: Pchelintseva, I.
Powiązania:: https://bibliotekanauki.pl/articles/255740.pdf
Data publikacji:: 2008
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: Jacobi matrices
spectral phase transition
absolutely continuous spectrum
pure point spectrum
discrete spectrum
subordinacy theory
asymptotics of generalized eigenvectors
Opis:: We consider self-adjoint unbounded Jacobi matrices with diagonal q(n) = b(n)n and off-diagonal entries λ(n) = n, where b(n) is a 2-periodical sequence of real numbers. The parameter space is decomposed into several separate regions, where the spectrum of the operator is either purely absolutely continuous or discrete. We study the situation where the spectral phase transition occurs, namely the case of b(1)b(2) = 4. The main motive of the paper is the investigation of asymptotics of generalized eigenvectors of the Jacobi matrix. The pure point part of the spectrum is analyzed in detail.
Źródło:: Opuscula Mathematica; 2008, 28, 2; 137-150
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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