-A.A., "The combinatorics of classical invariant theory revisited by modern physics", slides of my Feb 07 talk at the Montreal CRM workshop "Combinatorial Problems Raised by Statistical Mechanics" (.pdf) .
- A.A., and D. C. Brydges, "Cramer's rule and loop ensembles", preliminary version, october 2006, (.pdf) . This is a review of a result of G. X. Viennot which we think is important for statistical mechanics.
- A.A., "A complete renormalization group trajectory between two fixed points", to appear in Comm. Math. Phys., preprint version .
- A.A., "Towards a complete renormalization group trajectory between two fixed points", contribution to the Oberwolfach Report for the 2006 meeting "The Rigorous Renormalization Group" organized by: C. Kopper, V. Rivasseau and M. Salmhofer. Oberwolfach Rep. 3 (2006), no. 2, 1061--1063. (.pdf) .
- A.A., Short appendix for the article "On the Jacobian ideal of the binary discriminant" by C. D'Andrea and J. Chipalkatti. Collect. Math. 58 (2007), no. 2, 155--180. preprint version .
- A.A., and J. Chipalkatti "On the Wronskian combinants of binary forms". J. Pure Appl. Algebra 210 (2007), no. 1, 43--61. preprint version .
- A.A., and J. Chipalkatti "Brill-Gordan Loci, transvectants and an analogue of the Foulkes conjecture". Adv. Math. 208 (2007), no. 2, 491--520. preprint version .
- A.A., and J. Chipalkatti "The bipartite Brill-Gordan locus and angular momentum". Transform. Groups 11 (2006), no. 3, 341--370. preprint version .
- A.A., "A computational solution to a question by Beauville on the invariants of the binary quintic". J. Algebra 303 (2006), no. 2 (Computational Algebra), 771--788. preprint version .
- A.A. "The Grassmann-Berezin calculus and theorems of the matrix-tree type". Adv. in Appl. Math. 33 (2004), no. 1, 51--70. preprint version .
- A.A. "Feynman diagrams in algebraic combinatorics". Sém. Lothar. Combin. 49 (2002/04), Art. B49c, 45 pp. (electronic). preprint version .
- A.A. "A physicist's proof of the Lagrange-Good multivariable inversion formula". J. Phys. A 36 (2003), no. 36, 9471--9477. preprint version .
- A.A. "The Jacobian conjecture as a problem of perturbative quantum field theory". Ann. Henri Poincaré (2003), no. 2, 199--215. preprint version .
- A.A., J. Magnen, and V. Rivasseau "Bosonic monocluster expansion". Comm. Math. Phys. 229 (2002), no. 2, 183--207. preprint version .
- A.A., and V. Rivasseau "Explicit Fermionic tree expansions". Lett. Math. Phys. 44 (1998), no. 1, 77--88. preprint version .
- A.A., and V. Rivasseau "An explicit large versus small field multiscale cluster expansion". Rev. Math. Phys. 9 (1997), no. 2, 123--199. preprint version .
- A.A., and V. Rivasseau
"Trees, forests and jungles: a botanical garden for cluster expansions".
Constructive physics
(Palaiseau, 1994), 7--36, Lecture Notes in Phys.,
446, Springer, Berlin, 1995.
preprint version .
"Explicit constructive renormalization" june 1997, (in French). Chapter I has a quick introduction to BPHZ renormalization from a mathematical standpoint. The papers in Chapters II and III which have been published since, have been removed (see hep-th/9409094 for the preprint version of the paper in Chapter II and hep-th/9605094 for that in Chapter III). Chapter IV presents a nonperturbative analog of Zimmermann's forest formula.