In the present paper we consider recursive games that satisfy an absorbing property defined by Vieille. We give two sufficient conditions for existence of an equilibrium payoff in such games, and prove that if the game has at most two non-absorbing states, then at least one of the conditions is satisfied. Using a reduction of Vieille, we conclude that every stochastic game which has at most two...

We investigate analytically the asymptotic behavior of high-order spurious prolate spheroidal modes induced by a second-order local approximate DtN absorbing boundary condition (DtN2) when employed for solving high-frequency acoustic scattering problems. We prove that these reflected modes decay exponentially in the high frequency regime. This theoretical result demonstrates the great potential...

In this paper, we study some properties of φ-prime submodules andwe give another charactrization for it. For given N and K a moduleM with ⊆ N, prove that is submodule if only N/Kis φ_K-prime submodule. Finally, show any finite sum isφ-prime.

We consider the directed percolation process as a prototype of systems displaying a nonequilibrium phase transition into an absorbing state. The model is in a critical state when the activation probability is adjusted at some precise value p(c). Criticality is lost as soon as the probability to activate sites at the first attempt, p(1), is changed. We show here that criticality can be restored ...

In Bishop's constructive mathematics, the framework of this paper, there are many situations where we cannot easily prove the existence of functional whose existence is a trivial consequence of classical logic. One such functional is the Minkowski functional of a convex absorbing set. We shall prove the existence of Minkowski functionals in various spaces, and apply the theorems to establish th...

We show that the complex absorbing potential (CAP) method for computing scattering resonances applies to case of exponentially decaying potentials. That means eigenvalues $-\Delta + V - i\epsilon x^2$, $|V(x)|\leq C e^{-2\gamma |x|}$ converge, as $ \epsilon\to 0+ $, poles meromorphic continuation ( -\Delta -\lambda^2 )^{-1} uniformly on compact subsets $\textrm{Re}\,\lambda>0$, $\textrm{Im}\,\l...

Let L be a complete lattice. In this paper we introduce various definitions of L-fuzzy 2-absorbing ideals of a commutative ring R and give some basic results concerning these classes of ideals.

We establish a connection between knot theory and cluster algebras via representation theory. To every diagram (or link diagram), we associate algebra by constructing quiver with potential. The rank of the is 2n, where n number crossing points in diagram. then construct 2n indecomposable modules T(i) over Jacobian For each T(i), show that submodule lattice isomorphic to corresponding Kauffman s...