On Friday, Kuly 21, 2023, at 2:00 pm (GMT+3) in the Conference Room of IMI-BAS, Assoc. Prof. Danila Cherkashin will deliver an inaugural lecture on:
Gilbert—Steiner problem
Abstract. Gilbert—Steiner problem lies in the class of mass transportation problem. Consider two finite atomic probablistic measures in the plane. The goal is to construct a network (which is an embedded forest) of the lowest price. The price functional is the some over the roads (the edges of the forest) of its capacity in the power a, which is between 0 and 1, mutiplied on the length.
We give an introduction in the problem and prove that a solution do not contain branching point of degree 4.
The lecture will be streamed via Zoom: https://us02web.zoom.us/