Our current learning seminar with links to past learning seminars.

- 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. - Karen Yeats,
A Multiplicative Analogue of Schur's Tauberian Theorem.
Canad. Math. Bull.
**46**no.3 (2003), 473-480. Errata. - 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. - Stanley Burris and Karen Yeats, Admissible Dirichlet Series. arXiv:math.CA/0507487
- Kathryn E. Hare and Karen Yeats,
The size of characters of exceptional Lie groups.
J. Austral. Math. Soc.
**77**(2004), 233-248. - Jason Bell, Stanley Burris, and Karen Yeats,
Counting Rooted Trees: The Universal Law
*t(n) ∼ Cρ*. Elec. J. Combin.^{−n}n^{−3/2}**13**(2006), #R63. (Also arXiv:math.CO/0512432.) - 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.) - 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.) - 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.) - David Uminsky and Karen
Yeats, Unbounded regions
of Infinitely Logconcave Sequences. Elec. J. Combin.
**14**(2007), #R72. (Also arXiv:math.CO/0703770.) - My PhD thesis: Growth estimates for Dyson-Schwinger equations, or no longer in BU thesis format at arXiv:0810.2249.
- 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.) - Jason Bell, Stanley Burris, and Karen Yeats, Characteristic points of recursive systems. Elec. J. Combin.
**17**(2010), #R121. (Also arXiv:0905.2585.) - 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.) - 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.) - 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. - 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. - Dirk Kreimer and Karen Yeats, Tensor structure from scalar Feynman matroids, Phys. Lett. B
**698**, 5, (2011) 443-450 (Also arxiv:1010.5084.) - 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. - Aleksandar Vlasev, Karen Yeats, A four-vertex, quadratic, spanning forest polynomial identity. Electron. J. Linear Alg.,
**23**(2012) 923-941. Also arXiv:1106.2869. - Francis Brown, Oliver Schnetz, and Karen Yeats, Properties of c
_{2}invariants of Feynman graphs. Advances in Theoretical and Mathematical Physics,**18**, 2, (2014), 323-362. Also arXiv:1203.0188. - 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. - 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. - 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 - Karen Yeats, Some combinatorial interpretations in perturbative quantum field theory. in "Feynman Amplitudes, Periods and Motives", Proceedings of the 2012 ICMAT workshop "Periods and Motives", Contemporary Mathematics,
**648**(2015), 261-289. Also arXiv:1302.0080. - Samuel Johnson, Marni Mishna, and Karen Yeats, Towards a Combinatorial Understanding of Lattice Path Asymptotics.
- 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. - Karen Yeats, A bijection between certain quarter plane walks and Motzkin paths.
- Bradley R. Jones and Karen Yeats, Tree hook length formulae, Feynman rules and B-series. Ann. Inst. Henri PoincarĂ© Comb. Phys. Interact.
**2**, no 4 (2015), 413-430. Also arXiv:1412.6053. - Iain Crump, Matt DeVos, and Karen Yeats, Period Preserving Properties of an Invariant from the Permanent of Signed Incidence Matrices. Ann. Inst. Henri PoincarĂ© Comb. Phys. Interact.
**3**, no 4 (2016) 429-454. Also arXiv:1505.06987. - Karen Yeats, A few c
_{2}invariants of circulant graphs, Commun. Number Theory Phys.,**10**, no 1 (2016), 63-86. Also arXiv:1507.06974 - Karen Yeats, A Hopf algebraic approach to Schur function identities. Elec. J. Combin.
**24**(3) (2017), #P3.10. Also arXig:1511.06337. Thanks to Steph van Willigenburg for contributing to this paper's existence. - Avi Kulkarni, Gregory Maxedon, Karen Yeats, Some results on an algebro-geometric condition on graphs. J. Austral. Math. Soc. (2017). Also arXiv:1602.00356.
- Markus Hihn and Karen Yeats, Generalized chord diagram expansions of Dyson-Schwinger equations.
- Julien Courtiel and Karen Yeats, Terminal chords in connected chord diagrams.
- Dirk Kreimer and Karen Yeats, Diffeomorphisms of quantum fields. Math. Phys. Anal. Geom. (2017) 20: 16. Also arXiv:1610.01837.
- Julien Courtiel, Karen Yeats, and Noam Zeilberger, Connected chord diagrams and bridgeless maps.
- Wesley Chorney and Karen Yeats, c
_{2}Invariants of Recursive Families of Graphs. - Karen Yeats, A special case of completion invariance for the c
_{2}invariant of a graph to appear in Canad. J. Math.. Also arXiv:1706.08857. - Benjamin Moore and Karen Yeats, Graph minors and the linear reducibility of Feynman diagrams.

*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 &phi^{4} 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.

My CanaDAM 2015 talk about the renormalization group equation.

Coast Combinatorics talk about leading log expansions.