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20092014
most citedSeries expansions from the corner transfer matrix renormalization group method: the hard squares model

19 citations · 25 across the 5 of their papers we have counts for

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math.CO2014

Upper bounds on the growth rates of hard squares and related models via corner transfer matrices

Yao-ban Chan, Andrew Rechnitzer

We study the growth rate of the hard squares lattice gas, equivalent to the number of independent sets on the square lattice, and two related models - non-attacking kings and read-…

math.CO2012★ 1 cited

Accurate lower bounds on two-dimensional constraint capacities from corner transfer matrices

Yao-ban Chan, Andrew Rechnitzer

We analyse the capacity of several two-dimensional constraint families - the exclusion, colouring, parity and charge model families. Using Baxter's corner transfer matrix formalism…

math.CO2012

A natural stochastic extension of the sandpile model on a graph

Yao-ban Chan, Jean-François Marckert, Thomas Selig

We introduce a new model of a stochastic sandpile on a graph containing a sink. When unstable, a site sends one grain to each of its neighbours independently with probability $…