In three-dimensional O(N) models, we investigate the low-momentum be-havior of the two-point Green’s function G(x) in the critical region of thesymmetric phase. We consider physical systems whose criticality is charac-terized by a rotational-invariant fixed point. Several approaches are exploited,such as strong-coupling expansion of lattice non-linear O(N) σ models, 1/N -exp...

Magnetotelluric (MT) method is an electromagnetic technique that uses the earth natural field to map the electrical resistivity changes in subsurface structures. Because of the high penetration depth of the electromagnetic fields in this method (tens of meters to tens of kilometers), the MT data is used to investigate the shallow to deep subsurface geoelectrical structures and their dimensions....

We have considered a two-particle Bell experiment to visualize the conflict between rotational invariance of physical laws and specific local realistic theory. The experiment is reproducible by a local realistic theory which is obtained in a twosetting Bell experiment. It turns out that the generalized Bell inequality [J. Phys. A: Math. Theor. 40, 13101 (2007)] which is derived under the assump...

Rotational cryptanalysis is a probabilistic attack applicable to word oriented designs that use (almost) rotation-invariant constants. It is believed that the success probability of rotational cryptanalysis against ciphers and functions based on modular additions, rotations and XORs, can be computed only by counting the number of additions. We show that this simple formula is incorrect due to t...

In this paper, a complete theory of steerable filters is presented which shows that quadrature filters are only a special case of steerable filters. Although there has been a large number of approaches dealing with the theory of steerable filters, none of these gives a complete theory with respect to the transformation groups which deform the filter kernel. Michaelis and Sommer (Michaelis and S...