Aaron Abrams: publications

Life as we know it is apparently built out of things called G, T, A, and C.

As far as I can tell, G stands for Geometry, T for Topology, A for Algebra, and C for Combinatorics. The biologists apparently haven't yet discovered P, which stands for Probability. Anyway I'm using this color coding to try to indicate what each of the following papers contains.

G T A C P Optimal estimators for threshold-based quality measures
     with Sandy Ganzell, Henry Landau, Zeph Landau, Jamie Pommersheim, and Eric Zaslow
Submitted. pdf

G T A C P Finding good bets in the lottery, and why you shouldn't take them
     with Skip Garibaldi
to appear in American Mathematical Monthly. pdf

G T A C P Why not buy lottery tickets?
     with Skip Garibaldi
(a non-technical, locally published version of the lottery paper)
The Academic Exchange, vol. 10 no. 4 (2008), pp. 10-11. doc

G T A C P The number of possibilities for random dating
     with Rod Canfield and Andrew Granville
Journal of Combinatorial Theory, Series A, vol. 115 (2008), pp. 1265-1271. pdf

G T A C P A million-dollar proof
The Mathematical Intelligencer, vol. 29 no. 4 (2007), pg. 8. pdf

G T A C P Random multiplication approaches uniform measure in finite groups
     with Henry Landau, Zeph Landau, Jamie Pommersheim, and Eric Zaslow
Journal of Theoretical Probability, vol. 20 no. 1 (2007), pp. 107-118. pdf

G T A C P Distances of Heegaard splittings
     with Saul Schleimer
Geometry & Topology, vol. 9 (2005), pp. 95-119. pdf

G T A C P State complexes for metamorphic robots
     with Rob Ghrist
International Journal of Robotics Research,, vol. 23 no. 7-8 (July 2004), pp. 809-824. pdf

G T A C P Circles minimize most knot energies
     with Jason Cantarella, Joe Fu, Mohammad Ghomi, and Ralph Howard
Topology, vol. 42, no. 2 (2002), pp. 381-394. pdf

G T A C P Configuration spaces of colored graphs

Geometriae Dedicata, vol. 92 (2002), pp. 185-194. pdf

G T A C P Finding topology in a factory: configuration spaces
     with Rob Ghrist
American Mathematical Monthly, vol. 109, no. 2 (2002), pp. 140-150. pdf

G T A C P Evasive random walks and the clairvoyant demon
     with Henry Landau, Zeph Landau, Jamie Pommersheim, and Eric Zaslow
Random Structures & Algorithms, vol. 20, no. 2 (2002), pp. 239-248. pdf

G T A C P An iterated random function with Lipschitz number one
     with Henry Landau, Zeph Landau, Jamie Pommersheim, and Eric Zaslow
Theory of Probability and Its Applications, vol. 47, no. 2 (2002), pp. 286-300. pdf

G T A C P Yet another species of forbidden-distances chromatic number
     with Pete Johnson, Jr.
Geombinatoricsi, vol. 10, no. 3 (2001), pp. 89-95.

G T A C P Configuration spaces and braid groups of graphs

Ph.D. thesis, UC Berkeley (2000). ps
(pdf coming)

G T A C P Upper chromatic numbers: an update

Geombinatorics, vol. 10, no. 1 (2000), pp. 4-11. pdf

G T A C P Evasive random walks

In Paul Erdös and his Mathematics, Budapest, Hungary, July 1999. pdf

G T A C P The kth upper chromatic number of the line

Discrete Mathematics, vol. 169 (1997), pp. 157-162. pdf

G T A C P The probability that (a,b)=1
     with Matteo Paris
College Mathematics Journal, vol. 23, no. 1 (1992), pg. 47.

G T A C P	Optimal estimators for threshold-based quality measures with Sandy Ganzell, Henry Landau, Zeph Landau, Jamie Pommersheim, and Eric Zaslow Submitted.	pdf
G T A C P	Finding good bets in the lottery, and why you shouldn't take them with Skip Garibaldi to appear in American Mathematical Monthly.	pdf
G T A C P	Why not buy lottery tickets? with Skip Garibaldi (a non-technical, locally published version of the lottery paper) The Academic Exchange, vol. 10 no. 4 (2008), pp. 10-11.	doc
G T A C P	The number of possibilities for random dating with Rod Canfield and Andrew Granville Journal of Combinatorial Theory, Series A, vol. 115 (2008), pp. 1265-1271.	pdf
G T A C P	A million-dollar proof The Mathematical Intelligencer, vol. 29 no. 4 (2007), pg. 8.	pdf
G T A C P	Random multiplication approaches uniform measure in finite groups with Henry Landau, Zeph Landau, Jamie Pommersheim, and Eric Zaslow Journal of Theoretical Probability, vol. 20 no. 1 (2007), pp. 107-118.	pdf
G T A C P	Distances of Heegaard splittings with Saul Schleimer Geometry & Topology, vol. 9 (2005), pp. 95-119.	pdf
G T A C P	State complexes for metamorphic robots with Rob Ghrist International Journal of Robotics Research,, vol. 23 no. 7-8 (July 2004), pp. 809-824.	pdf
G T A C P	Circles minimize most knot energies with Jason Cantarella, Joe Fu, Mohammad Ghomi, and Ralph Howard Topology, vol. 42, no. 2 (2002), pp. 381-394.	pdf
G T A C P	Configuration spaces of colored graphs Geometriae Dedicata, vol. 92 (2002), pp. 185-194.	pdf
G T A C P	Finding topology in a factory: configuration spaces with Rob Ghrist American Mathematical Monthly, vol. 109, no. 2 (2002), pp. 140-150.	pdf
G T A C P	Evasive random walks and the clairvoyant demon with Henry Landau, Zeph Landau, Jamie Pommersheim, and Eric Zaslow Random Structures & Algorithms, vol. 20, no. 2 (2002), pp. 239-248.	pdf
G T A C P	An iterated random function with Lipschitz number one with Henry Landau, Zeph Landau, Jamie Pommersheim, and Eric Zaslow Theory of Probability and Its Applications, vol. 47, no. 2 (2002), pp. 286-300.	pdf
G T A C P	Yet another species of forbidden-distances chromatic number with Pete Johnson, Jr. Geombinatoricsi, vol. 10, no. 3 (2001), pp. 89-95.
G T A C P	Configuration spaces and braid groups of graphs Ph.D. thesis, UC Berkeley (2000).	ps (pdf coming)
G T A C P	Upper chromatic numbers: an update Geombinatorics, vol. 10, no. 1 (2000), pp. 4-11.	pdf
G T A C P	Evasive random walks In Paul Erdös and his Mathematics, Budapest, Hungary, July 1999.	pdf
G T A C P	The kth upper chromatic number of the line Discrete Mathematics, vol. 169 (1997), pp. 157-162.	pdf
G T A C P	The probability that (a,b)=1 with Matteo Paris College Mathematics Journal, vol. 23, no. 1 (1992), pg. 47.