Papers

  1. Karen Yeats, Asymptotic Density in Combined Number Systems. New York J. Math. 8 (2002), 63-83. A central reference is Stan Burris' Number Theoretic Density and Logical Limit Laws.
  2. Karen Yeats, A Multiplicative Analogue of Schur's Tauberian Theorem. Canad. Math. Bull. 46 no.3 (2003), 473-480. Errata.
  3. Stanley Burris and Karen Yeats, The Saga of the High School Identities. Algebra Universalis, 52 nos.2-3 (2005), 325-342. Available in postscript or pdf format.
  4. Stanley Burris and Karen Yeats, Admissible Dirichlet Series. arXiv:math.CA/0507487
  5. Kathryn E. Hare and Karen Yeats, The size of characters of exceptional Lie groups. J. Austral. Math. Soc. 77 (2004), 233-248.
  6. Jason Bell, Stanley Burris, and Karen Yeats, Counting Rooted Trees: The Universal Law t(n) ∼ Cρ−nn−3/2. Elec. J. Combin. 13 (2006), #R63. (Also arXiv:math.CO/0512432.)
  7. Dirk Kreimer and Karen Yeats, An Étude in non-linear Dyson-Schwinger Equations. Nucl. Phys. B Proc. Suppl., 160, (2006), 116-121. (Also arXiv:hep-th/0605096.)
  8. Stanley Burris and Karen Yeats, Sufficient Conditions for Labelled 0-1 Laws. Discrete Math. Theor. Comput. Sci. 10 no.1, (2008), 147-156. (Also arXiv:math.CO/0608735.)
  9. Dirk Kreimer and Karen Yeats, Recursion and growth estimates in renormalizable quantum field theory. Commun. Math. Phys. 279, no.2, (2008), 401-427. (Also arXiv:hep-th/0612179.)
  10. David Uminsky and Karen Yeats, Unbounded regions of Infinitely Logconcave Sequences. Elec. J. Combin. 14 (2007), #R72. (Also arXiv:math.CO/0703770.)
  11. My PhD thesis: Growth estimates for Dyson-Schwinger equations, or no longer in BU thesis format at arXiv:0810.2249.
  12. Guillaume van Baalen, Dirk Kreimer, David Uminsky and Karen Yeats, The QED beta-function from global solutions to Dyson-Schwinger equations. Ann. Phys. 234, 1, (2009), 205-219. (Also arXiv:0805.0826.)
  13. Jason Bell, Stanley Burris, and Karen Yeats, Characteristic points of recursive systems. Elec. J. Combin. 17 (2010), #R121. (Also arXiv:0905.2585.)
  14. Guillaume van Baalen, Dirk Kreimer, David Uminsky and Karen Yeats, The QCD beta-function from global solutions to Dyson-Schwinger equations. Ann. Phys. 325, 2, (2010), 300-324. (Also arxiv:0906.1754.)
  15. Francis Brown and Karen Yeats, Spanning forest polynomials and the transcendental weight of Feynman graphs, Commun.Math.Phys. 301 no. 2, (2011) 357-382. (Also arxiv:0910.5429.)
  16. Jason Bell, Stanley Burris, and Karen Yeats, Spectra and Systems of Equations, in "Model Theoretic Methods in Finite Combinatorics", Martin Grohe and Johann A. Makowsky eds., Contemporary Mathematics, 558, (2011), 43-96. Also arXiv:0911.2494.
  17. Jason Bell, Stanley Burris, and Karen Yeats, Monadic second-order classes of forests with a monadic second-order 0-1 law, Discrete Math. Theor. Comput. Sci. 14, 1, (2012), 87-108. Also arXiv:1004.1128.
  18. Dirk Kreimer and Karen Yeats, Tensor structure from scalar Feynman matroids, Phys. Lett. B 698, 5, (2011) 443-450 (Also arxiv:1010.5084.)
  19. Jason Bell, Stanley Burris, and Karen Yeats, On the set of zero coefficients of a function satisfying a linear differential equation. Math. Proc. Camb. Phil. Soc. 153, (2012), 235-247. Also arXiv:1105.6078.
  20. Aleksandar Vlasev, Karen Yeats, A four-vertex, quadratic, spanning forest polynomial identity. Electron. J. Linear Alg., 23 (2012) 923-941. Also arXiv:1106.2869.
  21. Francis Brown, Oliver Schnetz, and Karen Yeats, Properties of c2 invariants of Feynman graphs. Advances in Theoretical and Mathematical Physics, 18, no 2, (2014), 323-362. Also arXiv:1203.0188.
  22. Dirk Kreimer and Karen Yeats, Properties of the Corolla Polynomial of a 3-regular Graph, Elec. J. Combin., 20, 1 (2013), P41. Also arXiv:1207.5460.
  23. Chun-Hay Kom, Andreas Vogt, and Karen Yeats, Resummed small-x and first-moment evolution of fragmentation functions in perturbative QCD, J. High Energ. Phys. 2012, no 10, (2012), 33-55. Also arXiv:1207.5631. As a conference proceedings paper (along with other results by other contributors): A. Vogt, C. H. Kom, N. A. Lo Presti, G. Soar, A. A. Almasy, S. Moch, J. A. M. Vermaseren, K. Yeats Progress on double-logarithmic large-x and small-x resummations for (semi-)inclusive hard processes.
  24. Nicolas Marie and Karen Yeats, A chord diagram expansion coming from some Dyson-Schwinger equations. Communications in Number Theory and Physics, 7, no 2 (2013), 251-291. Also arXiv:1210.5457
  25. Karen Yeats, Some combinatorial interpretations in perturbative quantum field theory.
  26. Samuel Johnson, Marni Mishna, and Karen Yeats, Towards a Combinatorial Understanding of Lattice Path Asymptotics.
  27. Samson Black, Iain Crump, Matt DeVos, and Karen Yeats, Forbidden minors for graphs with no first obstruction to parametric Feynman integration. Discrete Mathematics 338 (2015), 9-35. Also arXiv:1310.5788.

Talks

Counting trees with applications to counting Feynman diagrams March 14, 2006; CIRM conference on Renormalization and Galois theories. Available in postscript or pdf format.

Recursion and growth estimates in quantum field theory April 9, 2007; Johns Hopkins University. Available in postscript or pdf format.

Dyson-Schwinger equations and Renormalization Hopf algebras April 10, 2007; Johns Hopkins University. Available in postscript or pdf format.

Feynman graphs to motives, June 28, 2007; Mathematische Arbeitstagung 2007. MPIM2007-75o.

Two different versions of a picture talk. Visualizing solutions to Dyson-Schwinger equations, October 4, 2007, Boston University; available in postscript or pdf format; and Rearranging Dyson-Schwinger equations, October 7, 2007, Special Session on Noncommutative Geometry and Arithmetic Geometry, AMS Fall Eastern Section Meeting; available in postscript or pdf format.

Two different versions of my job talk, A combinatorial perspective on Dyson-Schwinger equations. Simon Fraser University version, January 11, 2008; available in postscript or pdf format. McGill University version, February 14, 2008; available in postscript or pdf format.

Combinatorial and physical content of Kirchhoff polynomials and Weight drop in &phi4 transcendentals, May 19 and 20, 2009, Tulane University.

Some scribbly talks from les Houches: Dyson-Schwinger equations I, II, III, and the animations from talk 3. June 17, 18, and 21, 2010. I also gave a fourth talk on the blackboard which was about spanning forest polynomials.

CMS Winter meeting 2010 talk. I had more material than time, so the later part of it isn't filled in.

Joint Mathematics Meeting 2011 talk in Victor Moll's session. The audience voted to see the knots and matroids instead of the picture proof of double triangle, so the latter is blank.

CMS Summer meeting 2012 talk about the chord diagram expansion.

This was supposed to be a bit of an overview for a physics audience along with a presentation of the QED Landau pole result, but it wasn't well timed nor well tailored to the audience. Perhaps it is more useful as slides.

Other

Sequences A116379 and A116380 in the On-Line Encyclopedia of Integer Sequences