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  1. No Access

    Article

    Extremal Theory for Spectrum of Random Discrete Schrödinger Operator. III. Localization Properties

    In this paper, we study the asymptotic localization properties with high probability of the Kth eigenfunction (associated with the Kth largest eigenvalue, K⩾1 fixed) of the multidimensional Anderson Hamiltonian i...

    A. Astrauskas in Journal of Statistical Physics (2013)

  2. No Access

    Article

    Extremal Theory for Spectrum of Random Discrete Schrödinger Operator. II. Distributions with Heavy Tails

    We study the asymptotic structure of the first K largest eigenvalues λ k,V and the corresponding eigenfunctions ψ(⋅;λ ...

    A. Astrauskas in Journal of Statistical Physics (2012)

  3. No Access

    Article

    Extremal Theory for Spectrum of Random Discrete Schrödinger Operator. I. Asymptotic Expansion Formulas

    We consider the spectral problem for the random Schrödinger operator on the multidimensional lattice torus increasing to the whole of lattice, with an i.i.d. potential (Anderson Hamiltonian). We obtain the exp...

    A. Astrauskas in Journal of Statistical Physics (2008)

  4. No Access

    Article

    Poisson-Type Limit Theorems for Eigenvalues of Finite-Volume Anderson Hamiltonians

    We consider the spectral problem for the random Schrödinger operator on the multidimensional lattice torus increasing to the whole of lattice, with an i.i.d. potential (Anderson Hamiltonian). We prove complet...

    A. Astrauskas in Acta Applicandae Mathematicae (2007)

  5. No Access

    Article

    Strong laws for exponential order statistics and spacings

    We obtain upper and lower almost sure asymptotic bounds for spacings η K, N − η K + 1, N , where η ...

    A. Astrauskas in Lithuanian Mathematical Journal (2006)

  6. No Access

    Article

    On High-Level Exceedances of Gaussian Fields and the Spectrum of Random Hamiltonians

    We study the almost sure asymptotic structure of high-level exceedances by Gaussian random field ξ(x), x∈V with correlated values, where {V} is a family of ν-dimensional cubes increasing to Z ν. The results are a...

    A. Astrauskas in Acta Applicandae Mathematica (2003)

  7. No Access

    Article

    Limit theorems for the maximal eigenvalues of the mean-field Hamiltonian with random potential

    Let \(\bar H_V = \kappa \bar \Delta _V + \xi _V (x),x \in V \subset \mathbb{Z}^v \) , be the mean-field Hamiltonian...

    A. Astrauskas in Lithuanian Mathematical Journal (1999)

  8. No Access

    Article

    Limit theorems for basic states of the anderson model

    A. Astrauskas, S. A. Molchanov in Functional Analysis and Its Applications (1992)

  9. No Access

    Article

    The asymptotic dependence structure of the linear fractional Lévy motion

    A. Astrauskas, J. B. Lévy, M. S. Taqqu in Lithuanian Mathematical Journal (1991)

  10. No Access

    Article

    Limit theorem for a random walk in a reversible random environment

    A. Astrauskas in Lithuanian Mathematical Journal (1989)

  11. No Access

    Article

    Limit theorems for a random walk in a random environment

    A. Astrauskas in Lithuanian Mathematical Journal (1986)

  12. No Access

    Article

    Limit theorems for a random walk in a random environment

    A. Astrauskas, D. Surgailis in Lithuanian Mathematical Journal (1985)

  13. No Access

    Article

    Limit theorems for quadratic forms of linear processes

    A. Astrauskas in Lithuanian Mathematical Journal (1983)

  14. No Access

    Article

    Limit theorems for sums of linearly generated random variables

    A. Astrauskas in Lithuanian Mathematical Journal (1983)

  15. No Access

    Article

    Stable self-similar fields

    A. Astrauskas in Lithuanian Mathematical Journal (1982)