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1.0
Version bump (no changes)
0.1
* Changed: Slight change in the statement of the main theorem: no long-range
positional order between any dimers, regardless of orientation.
* Changed: Section 4 was completely reworked. It now consists of a
discussion, in which definitions and figures appear as needed.
The main lemma of the section was moved to the end.
* Fixed: The definition of external contours had a serious typo in it.
* Fixed: The definition of non-trivial polymers was backwards. What were
called non-trivial polymers are actually trivial, and vice versa.
* Changed: The contour and polymer figures were changed to include an
example of a polymer with a non-trivial recursive structure.
* Fixed: The clusters appearing in cluster expansions must be defined using
multisets instead of sets, as they were before. The notation was
adjusted accordingly.
* Fixed: The expression of the Ursell function was missing a combinatorial
factor.
* Fixed: When splitting a sum over clusters into a sum over a polymer and
the rest of the cluster, the sum over the multiplictity of the
polymer must be separated as well, in order to avoid overcounting.
* Fixed: In the proof of lemma 5.2, the bound on \mathfrak x required a
better estimate on b_+ and nu_+.
* Fixed: In the proof of lemma 5.2, the argument for why the number of bad
edges on the boundary of \iota is bounded by \ell_0(l-m) was wrong.
* Added: In the proof of lemma 5.2, a figure was added to illustrate the
issue with bad edges.
* Added: Some more minor points have been expanded to include more details.
* Fixed: Miscellaneous typos and reformating.
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