Decision aid problems criteria for infrastructure networks vulnerability analysis (regular paper)

Natural disasters through infrastructure networks might aggravate or mitigate consequences to stakes. The objective of this paper is to characterize this kind of situation in order to provide a solid foundation for the decision aid. This characterization includes a description of the typology, actions and potential actions identification, determining preference systems, as well as a set of specific problems to each phase

Regular Polygonal Complexes of Higher Ranks in E^3

The paper establishes that the rank of a regular polygonal complex in 3-space E^3 cannot exceed 4, and that the only regular polygonal complexes of rank 4 in 3-space are the eight regular 4-apeirotopes

Regular subspaces of Dirichlet forms

The regular subspaces of a Dirichlet form are the regular Dirichlet forms that inherit the original form but possess smaller domains. The two problems we are concerned are: (1) the existence of regular subspaces of a fixed Dirichlet form, (2) the characterization of the regular subspaces if exists. In this paper, we will first research the structure of regular subspaces for a fixed Dirichlet form. The main results indicate that the jumping and killing measures of each regular subspace are just equal to that of the original Dirichlet form. By using the independent coupling of Dirichlet forms and some celebrated probabilistic transformations, we will study the existence and characterization of the regular subspaces of local Dirichlet forms.Comment: This paper is collected in Festschrift Masatoshi Fukushima, In Honor of Masatoshi Fukushima's Sanju, pp: 397-420, 201