Point transitivity, -transitivity and multi-minimality

Topological Transitivity and Strong Transitivity

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.

Topological transitivity

The concept of topological transitivity goes back to G. D. Birkhoff [1]

Truth-Grounding and Transitivity

It is argued that if we take grounding to be univocal, then there is a serious tension between truthgrounding and one commonly assumed structural principle for grounding, namely transitivity. The primary claim of the paper is that truth-grounding cannot be transitive. Accordingly, it is either the case that grounding is not transitive or that truth-grounding is not grounding, or both.

Grounding, transitivity, and contrastivity

Network transitivity and matrix models.

This paper is a step towards a systematic theory of the transitivity (clustering) phenomenon in random networks. A static framework is used, with adjacency matrix playing the role of the dynamical variable. Hence, our model is a matrix model, where matrices are random, but their elements take values 0 and 1 only. Confusion present in some papers where earlier attempts to incorporate transitivit...