Abstract
The loop measure µ depends on the energy e which is defined by the free parameters C, K It will sometimes be denoted µ e. We shall denote Ze 5 the determinant det(G) \( =\,\mathcal{Z}_{e} \,{\rm {the\, determinant}} \,\det(G)=\det(M_{\lambda}-C)^{-1}.\, {\rm{Then}} \,\mu(p>1)=\log(\mathcal{Z}_{e})+\sum_{x\in X}\rm{log}(\lambda_{x}).\)
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© 2011 Springer-Verlag Berlin Heidelberg
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Jan, Y.L. (2011). Energy Variation and Representations. In: Markov Paths, Loops and Fields. Lecture Notes in Mathematics(), vol 2026. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21216-1_6
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DOI: https://doi.org/10.1007/978-3-642-21216-1_6
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-21215-4
Online ISBN: 978-3-642-21216-1
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