155 citations · 698 across the 55 of their papers we have counts for
3 papers · 1 filter
Arnold cat map, Ulam method and time reversal
Leonardo Ermann, Dima L. Shepelyansky
We study the properties of the Arnold cap map on a torus with a several periodic sections using the Ulam method. This approach generates a Markov chain with the Ulam matrix approxi…
Towards two-dimensional search engines
Leonardo Ermann, Alexei D. Chepelianskii, Dima L. Shepelyansky
We study the statistical properties of various directed networks using ranking of their nodes based on the dominant vectors of the Google matrix known as PageRank and CheiRank. On…
Google matrix of the world trade network
Leonardo Ermann, Dima L. Shepelyansky
Using the United Nations Commodity Trade Statistics Database [http://comtrade.un.org/db/] we construct the Google matrix of the world trade network and analyze its properties for v…