Abstract We present an explicit solution of a simply stated, yet unsolved, combinatorial problem, of interest both in quantum field theory (Feynman diagrams enumeration, beyond the planar approximation) and in statistical mechanics (high temperature loop expansion of some frustrated lattice spin model)
We discuss some of the problems that may occur in the calculation of complicated Feynman diagrams. T...
Using elementary methods we obtain a power-law lower bound on the two-point function of the planar X...
Over the past 30 years, the study of counting problems has become an interesting and important work....
In the first part of this lecture, the 1/N expansion technique is illustrated for the case of the la...
We analyse the Spherical Model with frustration induced by an external gauge field. In infinite dime...
We consider two seemingly unrelated problems, the calculation of the WKB expansion of the harmonic o...
The statistical mechanics of spin models, such as the Ising or Potts models, on generic random graph...
Explicit expressions are considered for the generating functions concerning the number of planar dia...
For any given sequence of integers there exists a quantum field theory whose Feynman rules produce t...
Contains fulltext : 60270.pdf (author's version ) (Open Access)We discuss the comp...
AbstractUsing results on the counting of planar Feynman diagrams derived in matrix models, recent re...
We give algorithms for approximating the partition function of the ferromagnetic Potts model on $d$-...
This thesis contributes to the development of unbiased diagrammatic approaches to the quantum many-b...
Abstract We consider two seemingly unrelated problems, calculation of the WKB expansion of the harmo...
We study the problem of determining the distribution of vertices of a particular given type in the s...
We discuss some of the problems that may occur in the calculation of complicated Feynman diagrams. T...
Using elementary methods we obtain a power-law lower bound on the two-point function of the planar X...
Over the past 30 years, the study of counting problems has become an interesting and important work....
In the first part of this lecture, the 1/N expansion technique is illustrated for the case of the la...
We analyse the Spherical Model with frustration induced by an external gauge field. In infinite dime...
We consider two seemingly unrelated problems, the calculation of the WKB expansion of the harmonic o...
The statistical mechanics of spin models, such as the Ising or Potts models, on generic random graph...
Explicit expressions are considered for the generating functions concerning the number of planar dia...
For any given sequence of integers there exists a quantum field theory whose Feynman rules produce t...
Contains fulltext : 60270.pdf (author's version ) (Open Access)We discuss the comp...
AbstractUsing results on the counting of planar Feynman diagrams derived in matrix models, recent re...
We give algorithms for approximating the partition function of the ferromagnetic Potts model on $d$-...
This thesis contributes to the development of unbiased diagrammatic approaches to the quantum many-b...
Abstract We consider two seemingly unrelated problems, calculation of the WKB expansion of the harmo...
We study the problem of determining the distribution of vertices of a particular given type in the s...
We discuss some of the problems that may occur in the calculation of complicated Feynman diagrams. T...
Using elementary methods we obtain a power-law lower bound on the two-point function of the planar X...
Over the past 30 years, the study of counting problems has become an interesting and important work....
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