We study two transitivity properties for group actions on buildings, called Weyl transitivity and strong transitivity. Following hints by Tits, we give examples involving anisotropic algebraic groups to show that strong transitivity is strictly stronger than Weyl transitivity. A surprising feature of the examples is that strong transitivity holds more often than expected.

We discuss the relation between (topological) transitivity and strong transitivity of dynamical systems. We show that a transitive and open self-map of a compact metric space satisfying a certain expanding condition is strongly transitive. We also prove a couple of results for interval maps; for example it is shown that a transitive piecewise monotone interval map is strongly transitive.

b) moderate stochastic transitivity: For a reciprocal fuzzy relation Q : x2 + [O, 11 on a finite set of alternatives X , we introduce the concept of U-transitivity which is based upon the ordering of the matrix elements qij, qjk and qki of Q for all triples of indices i, j and k. We show that U-transitivity generalizes both stochastic and fuzzy transitivity. The U-transitivity of the secalled u...

This study aims to unmask ideological stances of Vladimir Putin by using transitivity analysis. The dataset obtained from the transcription Interview in Financial Times newspaper 2019. By adopting Transitivity analysis Halliday and Matthiessen’s theory (2014) enable uncover based on lexicogrammar system process types. findings show that highest frequency used Putin’s interview Material , Mental...

Recently, we introduced the framework of cycletransitivity as a general means of representing transitivity conditions on reciprocal relations. In this framework, for reciprocal relations, the concepts of T -transitivity and stochastic transitivity can be cast. The upper bound functions encountered in this framework for product-transitivity and dice-transitivity, conceptually related to the prob...

The technique of lumping of Markov chains is one of the main tools for recovering from state explosion in the quantitative analysis of large probabilistic systems. Useful results regarding relational properties of general, ordinary and exact lumpability, in particular transitivity and strict confluence, are rather scattered or implicit in the literature. These are collected and reformulated her...

We examine properties of binary relations that complement quasi-transitivity and Suzumura consistency in the sense that they, together with the original axiom(s), are equivalent to transitivity. In general, the conjunction of quasi-transitivity and Suzumura consistency is strictly weaker than transitivity but in the case of collective choice rules that satisfy further properties, the conjunctio...

Trust can be used to improve online automated recommendation within a given domain. Trust transitivity is used to make it successful. But trust transitivity has different interpretations. Trust and trust transitivity; both are the human mental phenomenon and for this reason, there is no such thing as objective transitivity. Trust transitivity and trust fusion both are important elements in comp...