Publications of Jeremy L. Martin - Errata

A positivity phenomenon in Elser's Gaussian-cluster percolation model

• Iin Conjecture 9.1; the first condition should read "(i) \(U=\emptyset\) and \(k=|E(G)|-|V(G)|+1\)" (not \(-1\)).

Pseudodeterminants and perfect square spanning tree counts

• The second equality in equation (3) (definition of pseudodeterminant) may fail if the matrix \(L\) is not diagonalizable, as pointed out in the Math Review by M. Adamaszek. This does not affect the results of the paper, since all pseudodeterminants are of diagonalizable matrices.

Cellular spanning trees and Laplacians of cubical complexes

• In the displayed equation in the proof of Proposition 6.1, "\(\dim\mathop{\rm im} M\)" should read "\(\dim\mathop{\rm im} N\)".

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Last updated 6/7/22