\begin{thebibliography}{BdTR17}

\bibitem[BBGJ07]{PhysRevE.76.041140}
J.~Bouttier, M.~Bowick, E.~Guitter, and M.~Jeng.
\newblock Vacancy localization in the square dimer model.
\newblock {\em Phys. Rev. E}, 76:041140, Oct 2007.

\bibitem[BdTR17]{boutillier_z-invariant_2017}
C\'{e}dric Boutillier, B\'{e}atrice de~Tili\`ere, and Kilian Raschel.
\newblock The {$Z$}-invariant massive {L}aplacian on isoradial graphs.
\newblock {\em Invent. Math.}, 208(1):109--189, 2017.

\bibitem[BLPS01]{benjamini_uniform_2001}
Itai Benjamini, Russell Lyons, Yuval Peres, and Oded Schramm.
\newblock Uniform spanning forests.
\newblock {\em Annals of Probability}, 29(1):1--65, 2001.
\newblock Publisher: The Institute of Mathematical Statistics.

\bibitem[BP93]{10.1214/aop/1176989121}
Robert Burton and Robin Pemantle.
\newblock Local characteristics, entropy and limit theorems for spanning trees
  and domino tilings via transfer-impedances.
\newblock {\em Ann. Probab.}, 21(3):1329--1371, 1993.

\bibitem[Con23]{these}
H\'elo{\"i}se Constantin.
\newblock {For\^ets couvrantes et transitions de phases}.
\newblock {\em Th\`ese de doctorat, ENS de Lyon}, 2023.

\bibitem[Ken11]{kenyon_spanning_2011}
Richard Kenyon.
\newblock Spanning forests and the vector bundle {L}aplacian.
\newblock {\em Ann. Probab.}, 39(5):1983--2017, 2011.

\bibitem[Ken19]{kenyon_determinantal_2019}
Richard Kenyon.
\newblock Determinantal spanning forests on planar graphs.
\newblock {\em Annals of Probability}, 47(2):952--988, March 2019.
\newblock Publisher: Institute of Mathematical Statistics.

\bibitem[KK17]{10.1214/15-AOP1078}
Adrien Kassel and Richard Kenyon.
\newblock Random curves on surfaces induced from the {L}aplacian determinant.
\newblock {\em Ann. Probab.}, 45(2):932--964, 2017.

\bibitem[KL22]{kassel_determinantal_2020}
Adrien Kassel and Thierry Levy.
\newblock {Determinantal probability measures on Grassmannians}.
\newblock {\em {Annales de l'Institut Henri Poincar{\'e} (D) Combinatorics,
  Physics and their Interactions}}, 9(4):659--732, October 2022.

\bibitem[KL23]{KL6}
Adrien Kassel and Thierry L\'evy.
\newblock Quantum spanning forests.
\newblock 2023.
\newblock In preparation.

\bibitem[LP16]{lyons_probability_2017}
Russell Lyons and Yuval Peres.
\newblock {\em Probability on trees and networks}, volume~42 of {\em Cambridge
  Series in Statistical and Probabilistic Mathematics}.
\newblock Cambridge University Press, New York, 2016.

\bibitem[Sun16]{sun_toroidal_2016}
Wangru Sun.
\newblock Toroidal dimer model and temperley's bijection, 2016.
\newblock arXiv:1603.00690.

\bibitem[Wil96]{wilson}
David~Bruce Wilson.
\newblock Generating random spanning trees more quickly than the cover time.
\newblock In {\em Proceedings of the {T}wenty-eighth {A}nnual {ACM} {S}ymposium
  on the {T}heory of {C}omputing ({P}hiladelphia, {PA}, 1996)}, pages 296--303.
  ACM, New York, 1996.

\end{thebibliography}
