Using the central extension of the Cuntz C∗-algebra, we study the periodicity for corresponding fractals.

Bogolyubov proved that the average energies (per unit volume) of the ground states for the BCS Hamiltonian and the approximating Hamiltonian asymptotically coincide in the thermodynamic limit. In the present paper, we show ...

Let f be an entire function of finite type with respect to finite order ρ in Cⁿ and let E be a subset of an open cone in a certain n-dimensional subspace R²ⁿ ( = Cⁿ) (the smaller ρ , the sparser E ). We assume that this ...

We show that a hyperquadric M in R⁴₂ is a Lie group by using the bicomplex number product. For our purpose, we change the definition of tensor product. We define a new tensor product by considering the tensor product surface ...

A new method of asymptotic analysis of nonlinear dynamical systems is developed with extensive use of group-theoretical methods. The technique of normalization, which is named an "asymptotic decomposition" by the authors, ...

We describe the technique of normalization based on the method of asymptotic decomposition in the space of representation of a finite-dimensional Lie group. The main topics of the theory necessary for understanding the ...

The L∞-estimates of weak solutions are established for a quasilinear nondiagonal parabolic system of singular equations whose matrix of coefficients satisfies special structural conditions. A procedure based on the estimation ...

It is proved that the Cauchy problem for a simple parabolic equation with essentially infinite-dimensional coefficients on bounded level surfaces of smooth functions in a Hilbert space is uniformly well posed.

Let G be a finite non-Abelian group. We define a graph Γ G ; called the noncommuting graph of G; with a vertex set G − Z(G) such that two vertices x and y are adjacent if and only if xy ≠ yx: Abdollahi, Akbari, and Maimani ...