169 citations · 1.3k across the 50 of their papers we have counts for
3 papers · 1 filter
A Model for Fast Mining Blockchains
Rhys Bowden, Cengiz Gazi, Jan de Gier +1
We study a Markovian model for a blockchain mining process. In the limit where there is an infinite number of miners, the model satisfies a functional law of large numbers due to B…
The five vertex model on a rectangle
Jan de Gier, Richard Kenyon, Michael Wheeler +1
We derive a determinantal expression for the inhomogeneous asymmetric five vertex model in a rectangular geometry with arbitrary boundary conditions at the bottom and top. Standard…
Intertwining Markov Processes via Matrix Product Operators
Rouven Frassek, Jan de Gier, Jimin Li +1
Duality transformations reveal unexpected equivalences between seemingly distinct models. We introduce an out-of-equilibrium generalisation of matrix product operators to implement…