A fair division problem with indivisible objects and money consists of a set of agents, a set of objects, a value matrix which shows the value of each agent for each object and a money endowment to be shared among agents. Each agent has a quasi-linear utility function over objects and money. A solution to a fair division problem is an allocation which assigns an object and a money share to each...

In this paper we find a solution for a quasi-isotropic inflationary Universe which allows to introduce in the problem a certain degree of inhomogeneity. We consider a model which generalizes the (flat) FRW one by introducing a first order inhomogeneous term, whose dynamics is induced by an effective cosmological constant. The 3-metric tensor is constituted by a dominant term, corresponding to a...

In this article, we present a new method to study relative Cuntz-Krieger algebras for higher-rank graphs. We only work with edges rather than paths of arbitrary degrees. then use simplify the existing results about algebras. also give applications ideals and quotients Toeplitz

In this paper an efficient unconditionally stable numerical scheme is proposed for solving one dimensional quasi linear Burgers’ equation. The proposed scheme comprises of semi discretization via method of lines for the space variable and backward differentiation formula of order two (BDF2) for the time variable. The method of lines reduces the quasi linear partial differential equation in to n...