### 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
"\(\dim\mathop{\rm im} N\)".

Jeremy Martin's publications

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*Last updated 6/7/22*