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Conformal Field Theory
Filling an important gap in the literature, this comprehensive text develops conformal field theory from first principles. The treatment is self-contained, pedagogical, and exhaustive, and includes a
Planar Maps as Labeled Mobiles
We extend Schaeffer's bijection between rooted quadrangulations and well-labeled trees to the general case of Eulerian planar maps with prescribed face valences to obtain a bijection with a new class
The Oxford Handbook of Random Matrix Theory
I INTRODUCTION II PROPERTIES OF RANDOM MATRIX THEORY III APPLICATIONS OF RANDOM MATRIX THEORY
Relations between the Coulomb gas picture and conformal invariance of two-dimensional critical models
Partition functions of critical 2D models on a torus can be derived from their microscopic formulation and their free field representation in the continuum limit. This is worked out explicitly for
Around the Razumov-Stroganov Conjecture: Proof of a Multi-Parameter Sum Rule
We prove that the sum of entries of the suitably normalized groundstate vector of the $O(1)$ loop model with periodic boundary conditions on a periodic strip of size $2n$ is equal to the total number
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