8hloop.bbl
\begin{thebibliography}{10}

\bibitem{alex}
Kenneth~S. Alexander.
\newblock Cube-root boundary fluctuations for droplets in random cluster
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\newblock {\em Comm. Math. Phys.}, 224(3):733--781, 2001.

\bibitem{burago}
Yu.~D. Burago and V.~A. Zalgaller.
\newblock {\em Geometric inequalities}, volume 285 of {\em Grundlehren der
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\newblock Springer-Verlag, Berlin, 1988.
\newblock Translated from the Russian by A. B. Sosinski\u\i, Springer Series in
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\bibitem{Dembozeit}
Amir Dembo and Ofer Zeitouni.
\newblock Large deviations and applications.
\newblock In {\em Handbook of stochastic analysis and applications}, volume 163
  of {\em Statist. Textbooks Monogr.}, pages 361--416. Dekker, New York, 2002.

\bibitem{durr}
Richard Durrett.
\newblock {\em Probability: theory and examples}.
\newblock Duxbury Press, Belmont, CA, second edition, 1996.

\bibitem{karatshreve}
Ioannis Karatzas and Steven~E. Shreve.
\newblock {\em Brownian motion and stochastic calculus}, volume 113 of {\em
  Graduate Texts in Mathematics}.
\newblock Springer-Verlag, New York, 1988.

\bibitem{Santalo}
L.~A. Santal{\'o}.
\newblock Integral geometry.
\newblock In {\em Studies in Global Geometry and Analysis}, pages 147--193.
  Math. Assoc. Amer. (distributed by Prentice-Hall, Englewood Cliffs, N.J.),
  1967.

\bibitem{alexuzun}
Hasan~B. Uzun and Kenneth~S. Alexander.
\newblock Lower bounds for boundary roughness for droplets in {B}ernoulli
  percolation.
\newblock {\em Probab. Theory Related Fields}, 127(1):62--88, 2003.

\bibitem{varadhan}
S.~R.~S. Varadhan.
\newblock {\em Large deviations and applications}, volume~46 of {\em CBMS-NSF
  Regional Conference Series in Applied Mathematics}.
\newblock Society for Industrial and Applied Mathematics (SIAM), Philadelphia,
  PA, 1984.

\bibitem{williams}
David Williams.
\newblock {\em Probability with martingales}.
\newblock Cambridge Mathematical Textbooks. Cambridge University Press,
  Cambridge, 1991.

\bibitem{wulff}
G.~Wulff.
\newblock Zur {F}rage der {G}eschwingkeit des {W}achstums und der {A}uflosung
  der {K}rystallflachen.
\newblock {\em Z. Kryst.}, 34:449--530, 1901.

\end{thebibliography}
