This article was first published on: IOTA - Medium --

The IOTA Research team works intensively on the technology behind IOTA. We analyze the Tangle DLT (distributed ledger technology) using both analytical tools and numerical simulations. Recently, IOTA Researcher, Alon Gal, published a blog post about confirmation rates in the Tangle where he discussed the weighted-walk based consensus mechanism. Likewise, Professor Serguei Popov and his PhD students published an article about the equilibria in the Tangle. You can read the two part blog post explaining their findings here and here. Today, we publish this blog and accompanying research paper where we discuss results of numerical simulations of a continuous-time model of the Tangle.

This research paper largely confirms the analytical predictions of the original white paper. We demonstrated that the growth of the cumulative weight follows two stages: an adoption phase (which appears to be exponential), followed by a linear phase. These findings were independent of which tip selection algorit...

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