The Intersection of Algorithmically Random Closed Sets and Effective Dimension

In this article, we study several aspects of the intersections algorithmically random closed sets. First, answer a question Cenzer and Weber, showing that operation intersecting relatively sets (random with respect to certain underlying measures induced by Bernoulli on space codes sets), which preserves randomness, can be inverted: set appropriate type obtained as intersection two We then extend Cenzer/Weber analysis multiple sets, identifying non-empty. lastly apply our provide characterization effective Hausdorff dimension sequences in terms degree intersectability contain them.