Francis Edward Su.
Methods for Quantifying Rates of Convergence
for Random Walks on Groups.
Ph.D. Thesis, Harvard University. Advisor:
Persi Diaconis.

Francis Edward Su.
BorsukUlam implies Brouwer: a direct construction.
Amer. Math. Monthly, 104(9):855–859, 1997.
[ PDF ]

Francis Edward Su.
Convergence of random walks on the circle generated by an irrational
rotation.
Trans. Amer. Math. Soc., 350(9):3717–3741,
1998.
[ PDF ]

Francis Edward Su.
Rental harmony: Sperner's lemma in fair division.
Amer. Math. Monthly, 106(10):930–942, 1999.
[ PDF ]
This article was awarded the MAA's
2001 Merten M. Hasse Prize
for mathematical exposition.

Arthur T.
Benjamin, Jennifer J. Quinn, and Francis Edward Su.
Phased tilings and generalized Fibonacci identities.
Fibonacci Quart., 38(3):282–288, 2000.
[ PDF ]

Arthur T.
Benjamin, Francis Edward Su, and Jennifer J. Quinn.
Counting on Continued Fractions.
Math. Mag., 73(2):98–104, 2000.
[ PDF ]

Francis Edward Su.
A LeVequetype lower bound for discrepancy.
In Monte Carlo and quasiMonte Carlo methods 1998 (Claremont, CA), pages 448–458. Springer, Berlin, 2000.
[ PDF ]

Francis Edward Su.
Reviews: CakeCutting Algorithms: Be Fair if You Can.
Amer. Math. Monthly, 107(2):185–188, 2000.
[ PDF ]

Matthias G. Raith, and Francis Edward Su.
Procedural support for cooperative negotiations: theory and
implementation.
In Advances in Decision Technology and Intelligent
Information Systems, Volume I, pages 21–36.
The International Institute for Advanced Studies in Systems Research and
Cybernetics, Windsor, Canada, 2000.
[PDF]

Francis Edward Su.
Discrepancy convergence for the drunkard's walk on the sphere.
Electron. J. Probab., 6:no. 2, 20 pp. (electronic),
2001.
[ PDF ]

Jesus A. De Loera,
Elisha Peterson, and Francis Edward Su.
A polytopal generalization of Sperner's lemma.
J. Combin. Theory Ser. A, 100(1):1–26, 2002.
[ PDF ]

ClausJochen Haake,
Matthias G. Raith, and Francis Edward Su.
Bidding for envyfreeness: a procedural approach to nplayer
fairdivision
problems.
Soc. Choice Welf., 19(4):723–749, 2002.
[ PDF ]
The algorithm in this paper has been implemented in The Fair Division Calculator (Rent/"HRS" option).

Elisha Peterson and
Francis Edward Su.
FourPerson EnvyFree Chore Division.
Math. Mag., 75(2):117–122, 2002.
[ PDF ]

Alison L. Gibbs and
Francis Edward Su.
On choosing and bounding probability metrics.
International Statistical Review, 70(3):419–435, 2002.
[PDF] Version February 2002.

Arthur T. Benjamin,
Christopher R. H. Hanusa, and Francis Edward Su.
Linear recurrences through tilings and Markov chains.
Util. Math., 64:3–17, 2003.
[ PDF ] Version June 2001.

Forest W. Simmons
and Francis Edward Su.
Consensushalving via theorems of BorsukUlam and Tucker.
Math. Social Sci., 45(1):15–25, 2003.
[ PDF ]

Doug Hensley and
Francis Edward Su.
Random walks with badly approximable numbers.
In Unusual applications of number theory, volume 64
of
DIMACS Ser. Discrete Math. Theoret. Comput. Sci., pages
95–101.
Amer. Math. Soc., Providence, RI, 2004.
[PDF]

Timothy Prescott
and Francis Edward Su.
Random walks on the torus with several generators.
Random Structures Algorithms, 25(3):336–345,
2004.
[PDF at the arXiv] Version April 2004.

Adam Bliss and
Francis Edward Su.
Lower bounds for simplicial covers and triangulations of cubes.
Discrete Comput. Geom., 33(4):669–686, 2005.
[PDF at the arXiv]

Timothy Prescott
and Francis Edward Su.
A constructive proof of Ky Fan's generalization of Tucker's lemma.
J. Combin. Theory Ser. A, 111(2):257–265,
2005.
[PDF at the arXiv]

Douglas Rizzolo and
Francis Edward Su.
A fixed point theorem for the infinitedimensional simplex.
J. Math. Anal. Appl., 332(2):1063–1070, 2007.
[PDF at the
arXiv]

Gwen Spencer and
Francis Edward Su.
The LSB theorem implies the KKM lemma.
Amer. Math. Monthly, 114(2):156–159, 2007.
[PDF at the arXiv]

ClausJochen Haake,
Akemi Kashiwada, and Francis Edward Su.
The Shapley value of phylogenetic trees.
J. Math. Biol., 56(4):479–497, 2008.
[PDF at the arXiv]

Deborah Berg,
Serguei Norine, Francis Edward Su, Robin Thomas, and Paul Wollan.
Voting in agreeable societies.
Amer. Math. Monthly 117:2739, 2010.
[PDF at the
arXiv]

John
Cloutier, Kathryn L. Nyman, and
Francis Edward Su.
Twoplayer envyfree multicake division.
Math. Social Sci. 59:2637, 2010.
[PDF at the
arXiv]

Francis Edward Su.
Teaching Research: Encouraging Discoveries.
Amer. Math. Monthly, 117:159–169, 2010.
[PDF]
Reprinted
in Best
Writing on Mathematics 2011 (M. Pitici, ed.), Princeton
University Press, 2011.

Francis Edward Su.
The agreeable society theorem.
In
Expeditions in Mathematics
(Shubin, Hayes, Alexanderson, eds.), Mathematical Association of
America, 2011.
[ PDF ]

Sanjai Gupta,
Parousia Rockstroh, and Francis Edward Su.
Splitting fields and periods of Fibonacci sequences
modulo primes.
Math. Mag., Volume 85, Number 2, April 2012, 130135.
[PDF at the arXiv]

NOT YET PUBLISHED:

Rosalie Carlson,
Stephen Flood, Kevin O'Neill, and
Francis Edward Su.
A Turantype theorem for circular arc graphs.
[PDF at the arXiv]

ClausJochen Haake and Francis Edward Su.
Fair division procedures: why use Mathematics?
In Procedural Approaches to Conflict
Resolution (Matthias Raith, ed.), to appear.
[ PDF ]

Zeph Landau and Francis Edward Su.
Fair division and redistricting.
[ PDF ]

Elisha Peterson and
Francis Edward Su.
Nperson envyfree chore division.
[PDF at the
arXiv]

Kyle E. Kinneberg,
Aaron MazelGee, Tia Sondjaja, and Francis Edward Su.
A cubical antipodal theorem.
[PDF at the
arXiv]

Andrew Niedermaier, Douglas Rizzolo and
Francis Edward Su.
Sperner and KKMtype theorems on trees and cycles.
[PDF at the
arXiv]

Tyler Seacrest and
Francis Edward Su.
Minimal triangulations of simplotopes.
[PDF at the arXiv]

Sarah Fletcher,
Christopher Hardin, and Francis Edward Su.
The agreement number of tree societies.
