Transitivity of Kim-independence

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.

Reading Dependencies from the Minimal Undirected Independence Map of a Graphoid that Satisfies Weak Transitivity

We present a sound and complete graphical criterion for reading dependencies from the minimal undirected independence map of a graphoid that satisfies weak transitivity. We argue that assuming weak transitivity is not too restrictive.

Dr. Chang Sei Kim: A Public Health Pioneer Devoted to Korea's Independence Movement

Kim 19_09

Testing for cancer susceptibility gene, in particular mutations in the BRCA1 gene in association with hereditary breast/ovarian cancer has been extensively studied. We investigated germline mutations in the BRCA1 gene from two Korean hereditary breast/ovarian cancer families using direct DNA sequencing. Blood samples of the thirteen family members were studied. We found three missense mutations...

Topological transitivity

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