using the electrostatic capacity of a condenser, the existence of a distance function on a finsler space is discussed. this distance function divides finsler spaces into the two classes, denoted here by i and ii. the topology generated by this distance on the finsler spaces of class ii coincides with its intrinsic topology. this work provides a natural extension of mathematical analysis tools n...

Assuming that the underlying probability space is non-atomic we prove that products of random matrices (linear cocycles) with simple Lyapunov spectrum form an L p-dense set (1 p < 1) in the space of all cocy-cles satisfying the integrability conditions of the multiplicative ergodic theorem. However, the linear cocycles with one-point spectrum are also L p-dense. Further, in any L 1-neighborhood...

The distributed computing approach has the several advantages over the old centralized computing approach like reduction of execution time and low cost involvement. Many researchers have applied the modeling concepts for the distributed computing system. The most popular approach is the object-oriented modeling also known as Unified Modeling Language (UML) approach which is a platform independe...

The naming and routing play a very important role for network communications. To characterize the influence of network topology characteristics, network mobility features, network layer naming schemes on the routing scalability, we introduce a new concept called partial transparent graph. We show that a partial transparent graph can better characterize the topological properties of a layered co...

Abstract: In this paper, from the structural perspective, we propose a new stability analysis approach for the consensus of linear multi-agent systems. Different from the general tools: the Laplacian matrix based method and the Lyapunov’s method, this approach treats the multi-agent system as the composition of many isolated agents, and focuses on their special input and output relationship. Th...

This paper continues the study of the topology of real algebraic threefolds begun in [Kollár97b, Kollár97c, Kollár98a], but the current work is independent of the previous ones in its methodology. The present aim is to understand the topology of the set of real points of threefolds which admit a morphism to a curve whose general fiber is a rational surface. This class of threefolds also appears...

Topological self-stabilization is the ability of a distributed system to have its nodes themselves establish a meaningful overlay network. Independent from the initial network topology, it converges to the desired topology via forwarding, inserting, and deleting links to neighboring nodes. We adapt a linearization algorithm, originally designed for a shared memory model, to asynchronous message...

We present a new approach for non-rigid surface-registration of 3D objects. By representing the surfaces as the zero-level of a signed distance function in 3D space, our algorithm becomes independent of topology. We propose an extension of Thirion’s Demons algorithm to register the distance images. Our extension includes the use of a curvature term to guide the registration in the direction tan...

A new representation of computational meshes is proposed in terms of a covering relation defined by discrete topological objects we call sieves. Fields over a mesh are handled locally by using the notion of refinement, dual to covering, and are later reassembled. In this approach fields are modeled by sections of a fiber bundle over a sieve. This approach cleanly separates the topology of the m...

Let G be a group with identity e. Let R be a G-graded commutative ring and let M be a graded R-module. The graded classical prime spectrum Cl.Specg(M) is defined to be the set of all graded classical prime submodule of M. The Zariski topology on Cl.Specg(M); denoted by ϱg. In this paper we establish necessary and sufficient conditions for Cl.Specg(M) with the Zariski topology to be a Noetherian...