An exact map was established by Lacroix-A-Chez-Toine, Majumdar, and Schehr in [44] between the $N$ complex eigenvalues of non-Hermitian random matrices from Ginibre ensemble, positions non-interacting Fermions a rotating trap ground state. important quantity is statistics number $\mathcal{N}_a$ disc radius $a$. Extending work covering Gaussian rotationally invariant potentials $Q$, we present r...

In ARX structures, constants that are not rotational invariant are often injected into the state, in the form of round constants or as a result of using a fixed key. Rotational cryptanalysis cannot deal with such constants. Rotational cryptanalysis in the presence of constants, also known as rotational-XOR cryptanalysis, is a recently proposed statistical technique to attack ARX primitives. The...

In this paper we review some author’s results about Weingarten surfaces in Euclidean space R 3 and hyperbolic space H 3 . We stress here in the search of examples of linear Weingarten surfaces that satisfy a certain geometric property. First, we consider Weingarten surfaces in R 3 that are foliated by circles, proving that the surface is rotational, a Riemann example or a generalized cone. Next...

We examine the Toda frame formulation of the SO(3)–invariant hyper–Kahler 4–metrics, namely Eguchi–Hanson, Taub–NUT and Atiyah–Hitchin. Our method exploits the presence of a rotational SO(2) isometry, leading to the explicit construction of all three complex structures as a singlet plus a doublet. The Atiyah–Hitchin metric on the moduli space of BPS SU(2) monopoles with magnetic charge 2 is pur...

We study sequences of periodic orbits and the associated phase space dynamics in a 4-D symplectic map of interest to the problem of beam stability in circular particle accelerators. The increasing period of these orbits is taken from a sequence of rational approximants to an incommensurate pair of irrational rotation numbers of an invariant torus. We find stable (elliptic– elliptic) periodic or...

in this paper we introduce the concept of generalized baer-invariant of a pair of groups with respect to two varieties ? and ? of groups. we give some inequalities for the generalized baer-invariant of a pair of finite groups, when ? is considered to be the schur-baer variety. further, we present a sufficient condition under which the order of the generalized baer-invariant of a pair of finite ...

In this paper, we present a novel method for the fast computation of rotational invariant ”uniform local binary patterns” (uLBP) for texture analysis on 3D volume data. We introduce an alternative computation method for uLBPs in frequency space, which allows to effectively approximate uniform patterns in 2D and 3D in order to avoid the enormous computational complexity of a ”naive” 3D LBP imple...

We will express Daubechies localization operators in Bargmann Fock space. We will prove that the Hermite functions are eigenfunctions of Daubechies localization operator. By making use of generating function of eigenvalues of Daubechies localization operator, we will show some reconstruction formulas for symbol function of Daubechies localization operator with rotational invariant symbol.

In three-dimensional O(N) models, we investigate the low-momentum behavior of the two-point Green’s function G(x) in the critical region of the symmetric phase. We consider physical systems whose criticality is characterized by a a rotationally-invariant fixed point. In non rotationally-invariant physical systems with O(N)-invariant interactions, the vanishing of anisotropy in approaching the r...