Ian Jauslin
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authorIan Jauslin <jauslin@ias.edu>2018-04-25 22:10:43 +0000
committerIan Jauslin <jauslin@ias.edu>2018-04-26 05:27:22 +0000
commit84cec16dd8bbab11a43f00380a1e6354e3aa0c04 (patch)
tree3346280faa020c91cdebe9088082eaaf48165009 /Changelog
parent52a5942994007acc29107f036c9b8f386b19399f (diff)
Update to v0.1:v0.1
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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+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.