On noncommutative probability theory:
On Vassiliev knot invariants from perturbative Chern-Simons theory Feynman amplitudes (see also at graph complex):
On Vassiliev invariants for knots, the proof that chord diagrams modulo 4T are Jacobi diagrams modulo STU etc.:
Dror Bar-Natan, On the Vassiliev knot invariants, Topology Volume 34, Issue 2, April 1995, Pages 423-472 (doi:10.1016/0040-9383(95)93237-2, pdf)
Dror Bar-Natan, Alexander Stoimenow, The Fundamental Theorem of Vassiliev Invariants, in: Geometry and Physics, Lecture Notes in Pure and Applied Mathematics, volume 184, Marcel Dekker Inc. 1996 (arXiv:q-alg/9702009, ISBN:0-8247-9791-4)
Dror Bar-Natan, Finite Type Invariants, in: J.-P. Francoise, G.L. Naber and Tsou S.T. (eds.) Encyclopedia of Mathematical Physics, Oxford: Elsevier, 2006, volume 2 page 340
On Vassiliev invariants of braids via horizontal chord diagrams:
Relation of the colored Jones polynomial to Lie algebra weight systems on chord diagrams:
On the logical equivalence between the four-colour theorem and a statement about transition from the small N limit to the large N limit for Lie algebra weight systems on Jacobi diagrams via the 't Hooft double line construction:
Computation of the perturbative Wilson loop observable (universal Vassiliev invariant of the unknot (“Wheels theorem”):
following
List of literature on Vassiliev invariants:
On the cochain cohomology of graph complexes:
On the Cayley distance kernel:
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