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Abstract: We consider a model of modified gravity based on the spectral action functional, for a cosmic topology given by a spherical space form, and the associated slow-roll inflation scenario. We co...
Abstract: The Wigner-Gaudin-Mehta-Dyson conjecture asserts that the local eigenvalue statistics of large random matrices exhibit universal behavior depending only on the symmetry class of the matrix e...
Abstract: A physical interpretation of the two-sheeted space, the most fundamental ingredient of noncommutative spectral geometry proposed by Connes as an approach to unification, is presented. It is ...
Abstract: The asymptotic behavior of second order self-adjoint elliptic Steklov eigenvalue problems with periodic rapidly oscillating coefficients and with indefinite (sign-changing) density function ...
Abstract: Spectral asymptotics of linear periodic elliptic operators with indefinite (sign-changing) density function is investigated in perforated domains with the two-scale convergence method. The l...
Abstract: A sketch of an approach towards Lorentzian spectral geometry (based on joint work with Mario Paschke) is described, together with a general way to define abstractly the quantized Dirac field...
Investigating the Spectral Geometry of a Soft Wall.
We study the gluon propagator in the Landau gauge in SU(3) lattice QCD at b =5.7, 5.8 and 6.0 at the quenched level.
We study the properties of charmonium states at finite temperature in quenched QCD on isotropic lattices. We measured charmonium correlators using non-perturbatively O(a) improved clover fermions on...
Time behaviour near to spectral singularities      Time behaviour  spectral singularities        font style='font-size:12px;'> 2010/10/21
Spectral singularities such as exceptional points invoke specific physical effects. The present paper focuses upon the time dependent solutions of the Schr¨odinger equation. In a simple model it is d...
Self-adjoint extensions and spectral analysis in the generalized Kratzer problem           font style='font-size:12px;'> 2010/10/27
We present a mathematically rigorous quantum-mechanical treatment of a one-dimensional nonrelativistic motion of a particle in the potential field V (x) = g1x−1 + g2x−2, x 2 R+ = [0,1) .Fo...
We study the gluon propagator in the Landau gauge in SU(3) lattice QCD at b =5.7, 5.8 and 6.0 at the quenched level.
Determining the effect of structural perturbations on the eigenvalue spectra of networks is an important problem because the spectra characterize not only their topological structures, but also their ...
Several technical suggestions to construct a high-resolution spectral model on a sphere (the T682 barotropic model) are presented and their implementation of FORTRAN77 libraries is provided as a free ...
The analysis of a data area or segment containing steep transitions between regions with different textures (for example a cloud and its background) leads to addressing the problem of discontinuities ...

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