Anomalies in backscattering on large‐scale inhomogeneities

Spectral integral representations of monostatic backscattering from three-dimensional distributions of sediment volume inhomogeneities.

A theory is developed for generating short time, monostatic reverberation realizations caused by three-dimensionally distributed volume inhomogeneities in stratified media. A wave number integral approach to treating the propagation to and from the scatterers, combined with a two-dimensional spectral representation of the azimuthally averaged scatterer realizations and a novel numerical impleme...

Market Anomalies on Return

There are various anomalies in the financial markets such as profitability, financial distress, lottery, volatility, and growth options, which origin and nature are unclear, ambiguous and apparently unrelated. In this study, we investigate the seemingly unrelated anomalies using the third and fourth moments of return’s distribution function and by isolating the expected skewness effect attribut...

Invariant Polyhedra and Control of Largescale

Apparent Acceleration through Large-scale Inhomogeneities Post-Friedmannian Effects of Inhomogeneities on the Luminosity Distance

We re-analyze the observed magnitude-redshift relation of type Ia supernovae (SNe Ia) and examine the possibility that the apparent acceleration of the cosmic expansion is not caused by dark energy but is instead a consequence of the large-scale inhomogeneities in the universe. We propose a method to phenomenologically describe the effects of the large-scale inhomogeneities without relying on t...

Effects of Inhomogeneities on Cosmic Expansion

We evaluate the effect of inhomogeneity energy on the expansion rate of the universe. Our method is to expand to Newtonian order in potential and velocity but to take into account fully nonlinear density inhomogeneities. To linear order in density, kinetic and gravitational potential energy contribute to the total energy of the universe with the same scaling with expansion factor as spatial cur...