David Bruce Wilson
I am a principal researcher at Microsoft Research and an affiliate professor at the University of Washington math department.

The sixvertex model and SchrammLoewner evolution, by Richard Kenyon, Jason Miller, Scott Sheffield, and David B. Wilson, 2016. arXiv:1605.06471.
Active spanning trees with bending energy on planar maps and SLEdecorated Liouville quantum gravity for κ >8, by Ewain Gwynne, Adrien Kassel, Jason Miller, and David B. Wilson, 2016. arXiv:1603.09722.
Active spanning trees and SchrammLoewner evolution, by Adrien Kassel and David B. Wilson, 2015. Physical Review E 93(6):062121, 2016. arXiv:1512.09122.
Bipolar orientations on planar maps and SLE_{12}, by Richard Kenyon, Jason Miller, Scott Sheffield, and David B. Wilson, 2015. arXiv:1511.04068.
Sandpiles and unicycles on random planar maps, by Xin Sun and David B. Wilson, 2015. arXiv:1506.08881.
Supercritical minimum meanweight cycles, by Jian Ding, Nike Sun, and David B. Wilson, 2015. arXiv:1504.00918.
Finitary coloring, by Alexander E. Holroyd, Oded Schramm, and David B. Wilson, 2014. To appear in Annals of Probability. arXiv:1412.2725.
The space of circular planar electrical networks, by Richard W. Kenyon and David B. Wilson, 2014. arXiv:1411.7425.
Pfaffian formulas for spanning tree probabilities, by Greta Panova and David B. Wilson. Combinatorics, Probability & Computing, published online (to appear in print), 2016. arXiv:1407.3748.
A forwardbackward singlesource shortest paths algorithm,
by
David B. Wilson and
Uri Zwick.
SIAM Journal on Computing 44(3):698–739, 2015.
arXiv:1405.7619.
Extended abstract appeared in Proc. 54th Annual Symposium on Foundations of Computer Science (FOCS), pages 707–716, 2013.
The looping rate and sandpile density of planar graphs, by Adrien Kassel and David B. Wilson, 2014. American Mathematical Monthly 123(1):19–39, 2016. arXiv:1402.4169.
The conformal loop ensemble nesting field, by Jason Miller, Samuel S. Watson, and David B. Wilson. Probability Theory and Related Fields 163(3):769–801, 2015. arXiv:1401.0218.
Extreme nesting in the conformal loop ensemble, by Jason Miller, Samuel S. Watson, and David B. Wilson. Annals of Probability 44(2):1013–1052, 2016. arXiv:1401.0217.
On the asymptotics of dimers on tori, by Richard W. Kenyon, Nike Sun, and David B. Wilson. Probability Theory and Related Fields, published online (to appear in print), 2016. arXiv:1310.2603.
The Hausdorff dimension of the CLE gasket, by Jason Miller, Nike Sun, and David B. Wilson. Annals of Probability, 42(4)1644–1665, 2014. arXiv:1206.0725.
Dyck tilings, increasing trees, descents, and inversions,
by
Jang Soo Kim,
Karola Mészáros,
Greta Panova, and
David B. Wilson,
Journal of Combinatorial Theory A 122:927, 2014.
arXiv:1205.6578.
Extended abstract appeared in DMTCS Proceedings for the 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012), pages 769–780, 2012.
The min meanweight cycle in a random network, by Claire Mathieu and David B. Wilson. Combinatorics, Probability & Computing 22(5):763–782, 2013.
Avoidance coupling, by Omer Angel, Alexander E. Holroyd, James Martin, David B. Wilson, and Peter Winkler. Electronic Communications in Probability, 18(58):1–13, 2013.
Spanning trees of graphs on surfaces and the intensity of looperased random walk on planar graphs,
by Richard W. Kenyon
and David B. Wilson.
Journal of the American Mathematical Society, 28(4):985–1030, 2015.
Data for LERW intensity on the square lattice, on the triangular lattice, and on the honeycomb lattice.
XORIsing loops and the Gaussian free field, by David B. Wilson, 2011. arXiv:1102.3782
The dimension of looperased random walk in 3D, by David B. Wilson. Physical Review E 82(6):062102, 2010.
Doubledimer pairings and skew Young diagrams, by Richard W. Kenyon and David B. Wilson. Electronic Journal of Combinatorics 18(1) #P130, 2011.
Schramm's proof of Watts' formula, by Scott Sheffield and David B. Wilson. Annals of Probability, 39(5):1844–1863, 2011.
Approach to criticality in sandpiles, by Anne Fey, Lionel Levine, and David B. Wilson. Physical Review E 82(3):031121, 2010. (Contains proofs of results announced in below PRL article.)
Driving sandpiles to criticality and beyond, by Anne Fey, Lionel Levine, and David B. Wilson. Physical Review Letters 104:145703, 2010.
Eventchain Monte Carlo algorithms for hardsphere systems, by Etienne P. Bernard, Werner Krauth and David B. Wilson. Physical Review E 80(5):056704, 2009.
Combinatorics of tripartite boundary connections for trees and dimers, by Richard W. Kenyon and David B. Wilson. Electronic Journal of Combinatorics 16(1):R112, 2009.
A sharp threshold for minimum boundeddepth and boundeddiameter spanning trees and Steiner trees in random networks,
by Omer Angel,
Abraham D. Flaxman,
and David B. Wilson.
Combinatorica 32(1):1–33, 2012.
arXiv:0810.4908.
Our results in this paper were "advertised" without our knowledge and without attribution in Physical Review Letters by our "fan club".
“Coupling from the past,” by James G. Propp and David B. Wilson, Chapter 22 of the textbook “Markov Chains and Mixing Times,” by David A. Levin, Yuval Peres, and Elizabeth L. Wilmer, published by the American Mathematical Society, 2009. [download for free] [order from AMS]
Chipfiring and rotorrouting on directed graphs, by Alexander E. Holroyd, Lionel Levine, Karola Mészáros, Yuval Peres, James Propp, and David B. Wilson. In and Out of Equilibrium 2, eds. Vladas Sidoravicius and Maria Eulália Vares, “Progress in Probability” #60, pages 331–364, Birkhäuser (2008).
Card shuffling and Diophantine approximation, by Omer Angel, Yuval Peres, and David B. Wilson. Annals of Applied Probability, 18(3):1215–1231, 2008.
The electrical response matrix of a regular 2ngon, by Nathaniel D. BlairStahn and David B. Wilson. Proceedings of the American Mathematical Society 137(6):2015–2025, 2009.
Twoplayer Knock 'em Down, by James A. Fill and David B. Wilson. Electronic Journal of Probability, 13(9):198–212, 2008.
Conformal radii for conformal loop ensembles, by Oded Schramm, Scott Sheffield, and David B. Wilson. Communications in Mathematical Physics 288(1):43–53, 2009.
Boundary partitions in trees and dimers, by Richard W. Kenyon and David B. Wilson. Transactions of the American Mathematical Society 363(3):1325–1364, 2011.
Tugofwar and the infinity Laplacian, by Yuval Peres, Oded Schramm, Scott Sheffield, and David B. Wilson. Journal of the American Mathematical Society 22(1):167–210, 2009.
Randomturn Hex and other selection games, by Yuval Peres, Oded Schramm, Scott Sheffield, and David B. Wilson. American Mathematical Monthly, 114:373–387, May 2007.
SLE coordinate changes, by Oded Schramm, and David B. Wilson. New York Journal of Mathematics, 11:659–669, 2005.
Balanced Boolean functions that can be evaluated so that every input bit is unlikely to be read, by Itai Benjamini, Oded Schramm, and David B. Wilson. In Proc. 37th ACM Symposium on Theory of Computing, pages 244–250, 2005.
Excited Random Walk, by Itai Benjamini and David B. Wilson. Electronic Communications in Probability, 8(9):86–92, 2003.
Mixing Time of the Rudvalis Shuffle, by David B. Wilson. Electronic Communications in Probability, 8(8):77–85, 2003.
Winding angle variance of FortuinKasteleyn contours, by Benjamin Wieland and David B. Wilson. Physical Review E 68(5):056101, 2003.
On the RedGreenBlue Model, by David B. Wilson. Physical Review E 69(3):037105, 2004.
Critical resonance in the nonintersecting lattice path model, by Richard W. Kenyon and David B. Wilson. Probability Theory and Related Fields 130(3):289–318, 2004.
Mixing times of lozenge tiling and card shuffling Markov chains, by David B. Wilson. The Annals of Applied Probability, 14(1):274–325, 2004.
On the critical exponents of random kSAT, by David B. Wilson. Random Structures and Algorithms, 21(2):182–195, 2002.
The Scaling Window of the 2SAT Transition, by Béla Bollobás, Christian Borgs, Jennifer T. Chayes, Jeong Han Kim, and David B. Wilson. Random Structures and Algorithms 18(3):201–256, 2001.
Diagonal Sums of Boxed Plane Partitions, by David B. Wilson. Electronic Journal of Combinatorics 8(1):N1, 2001.
Layered multishift coupling for use in perfect sampling algorithms (with a primer on CFTP), by David B. Wilson. Monte Carlo Methods, edited by Neil Madras, Fields Institute Communications #26, pages 143–179. American Mathematical Society, 2000.
Trees and Matchings, by Richard W. Kenyon, James G. Propp, and David B. Wilson. Electronic Journal of Combinatorics, 7(1):R25, 2000.
How to Couple from the Past Using a ReadOnce Source of Randomness, by David B. Wilson. Random Structures and Algorithms 16(1):85–113, 2000.
Scaling Limits for Minimal and Random Spanning Trees in Two Dimensions, by Michael Aizenman, Almut Burchard, Charles M. Newman, and David B. Wilson. Random Structures and Algorithms 15(3&4):319–367, 1999.
Sampling Spin Configurations of an Ising System, by Dana Randall and David B. Wilson. Proc. Tenth Annual ACMSIAM Symposium on Discrete Algorithms (SODA) pp. S959–960, 1999.
Coupling from the past: a user's guide,
by James G. Propp
and David B. Wilson.
In D. Aldous and J. Propp, editors, Microsurveys in Discrete
Probability, volume 41 of DIMACS Series in Discrete Mathematics and Theoretical Computer Science, pages 181–192. American
Mathematical Society, 1998.
Postscript.
How to Get a Perfectly Random Sample From a Generic Markov Chain
and Generate a Random Spanning Tree of a Directed Graph
by James G. Propp and David B. Wilson.
Journal of Algorithms 27:170–217, 1998.
Earlier version appeared in
Proc. Seventh Annual ACMSIAM Symposium on Discrete Algorithms (SODA), pp. 448–457, 1996.
Random Random Walks on
Determinant Algorithms for Random Planar Structures, by David B. Wilson. Proceedings of the Eighth Annual ACMSIAM Symposium on Discrete Algorithms (SODA) , pp. 258–267, 1997.
Generating random spanning trees more quickly than the cover time, by David B. Wilson. Proc. 28th Annual ACM Symposium on the Theory of Computing (STOC), pp. 296–303, 1996.
Beyond Islands: Runs in CloneProbe Matrices, by David S. Greenberg, Cynthia A. Phillips, and David B. Wilson. Proceedings of the First Annual International Conference on Computational Molecular Biology (RECOMB), pp. 320–329, 1997.
Learning Foraging Thresholds for Lizards, by Leslie Ann Goldberg, William E. Hart, and David B. Wilson. J. Theoretical Biology, 197(3):361–369, 1999. A preliminary version appeared in Proc. 9th Conference on Computational Learning Theory, pp. 2–9, 1996.
Exact Sampling with Coupled Markov Chains and Applications to Statistical Mechanics, by James G. Propp and David B. Wilson. Random Structures and Algorithms, 9(1&2):223–252, 1996.
On the Number of Graphs Which Lack Small Cycles, by Daniel J. Kleitman and David B. Wilson. To appear in Discrete Mathematics.
Fast Exponentiation with Precomputation: Algorithms and Lower Bounds, by Ernest F. Brickell, Daniel M. Gordon, Kevin S. McCurley, and David B. Wilson. An extended abstract of this paper appeared in Advances in Cryptology — Eurocrypt '92, Lecture Notes in Computer Science #658, pp. 200–207, 1993.
Embedding Leveled Hypercube Algorithms into Hypercubes,
by David B. Wilson.
Proc. 4th Annual ACM Symposium on Parallel Algorithms and Architectures (SPAA), pp. 264–270, 1992.
This is the article version of my bachelor's thesis, which won the
William A. Martin
memorial prize for best undergraduate computer science
thesis at MIT. (The thesis was supervised by Charles E. Leiserson.)
PNG and GIF and SVG pictures: