Spanning forests and the vector bundle Laplacian

Brooks, R. L.R. L., Smith, C. A. B.C. A. B., Stone, A. H.A. H. andTutte, W. T.W. T. (1940). The dissection of rectangles into squares. Duke Math. J. 7 312–340

1940

Earlier work this paper cites.

Pemantle, RobinR. (1991). Choosing a spanning tree for the integer lattice uniformly. Ann. Probab. 19 1559–1574

1991

Earlier work this paper cites.

Majumdar, S.S. (1992). Exact fractal dimension of the loop-erased self-avoiding walk in two dimensions. Phys. Rev. Lett. 68 2329–2331

1992

Earlier work this paper cites.

Burton, RobertR. andPemantle, RobinR. (1993). Local characteristics, entropy and limit theorems for spanning trees and domino tilings via transfer-impedances. Ann. Probab. 21 1329–1371

1993

Earlier work this paper cites.

Forman, RobinR. (1993). Determinants of Laplacians on graphs. Topology 32 35–46

1993

Earlier work this paper cites.

Wilson, David BruceD. B. (1996). Generating random spanning trees more quickly than the cover time. In Proceedings of the Twenty-Eighth Annual ACM Symposium on the Theory of Computing (Philadelphia, PA, 1996) 296–303. ACM, New York

1996

Earlier work this paper cites.

Kenyon, RichardR. (2000). The asymptotic determinant of the discrete Laplacian. Acta Math. 185 239–286

2000

Earlier work this paper cites.

Kenyon, RichardR. (2000). Long-range properties of spanning trees. J. Math. Phys. 41 1338–1363

2000

Cited alongside, same era.

Kenyon, RichardR. (2001). Dominos and the Gaussian free field. Ann. Probab. 29 1128–1137

2001

Cited alongside, same era.

Kenyon, Richard W.R. W. andWilson, David B.D. B. (2004). Critical resonance in the non-intersecting lattice path model. Probab. Theory Related Fields 130 289–318

2004

Cited alongside, same era.

Lawler, Gregory F.G. F., Schramm, OdedO. andWerner, WendelinW. (2004). Conformal invariance of planar loop-erased random walks and uniform spanning trees. Ann. Probab. 32 939–995

2004

Cited alongside, same era.

Mehta, Madan LalM. L. (2004). Random Matrices, 3rd ed. Pure and Applied Mathematics (Amsterdam) 142. Elsevier, Amsterdam

2004

Cited alongside, same era.

Hough, J. BenJ. B., Krishnapur, ManjunathM., Peres, YuvalY. andVirág, BálintB. (2006). Determinantal processes and independence. Probab. Surv. 3 206–229 (electronic)

2006

Later among the works it cites.

Boutillier, CédricC. andde Tilière, BéatriceB. (2009). Loop statistics in the toroidal honeycomb dimer model. Ann. Probab. 37 1747–1777

2009

Later among the works it cites.

Goncharov, A.A. andKenyon, R.R. (2010). Dimers and cluster varieties. Unpublished manuscript, Brown Univ

2010

Closest in time.

Kenyon, R.R. (2010). Loops in the double-dimer model. Unpublished manuscript, Brown Univ

2010

Closest in time.

Kenyon, R.R. andWilson, D.D. (2010). Laplacians on surface graphs. Unpublished manuscript, Brown Univ

2010

Closest in time.