19 citations · 25 across the 5 of their papers we have counts for
5 papers
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-…
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…
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 $…
Series expansions from the corner transfer matrix renormalization group method: the hard squares model
Yao-ban Chan
The corner transfer matrix renormalization group method is an efficient method for evaluating physical quantities in statistical mechanical models. It originates from Baxter's corn…
Robust nearest-neighbor methods for classifying high-dimensional data
Yao-ban Chan, Peter Hall
We suggest a robust nearest-neighbor approach to classifying high-dimensional data. The method enhances sensitivity by employing a threshold and truncates to a sequence of zeros an…