Corpus ID: 118564646

Conformal Random Geometry

@article{Duplantier2006ConformalRG,
  title={Conformal Random Geometry},
  author={B. Duplantier},
  journal={arXiv: Mathematical Physics},
  year={2006}
}
  • B. Duplantier
  • Published 2006
  • Mathematics, Physics
  • arXiv: Mathematical Physics
  • In these Notes, a comprehensive description of the universal fractal geometry of conformally-invariant scaling curves or interfaces, in the plane or half-plane, is given. The present approach focuses on deriving critical exponents associated with interacting random paths, by exploiting their underlying quantum gravity structure. The latter relates exponents in the plane to those on a random lattice, i.e., in a fluctuating metric, using the so-called Knizhnik, Polyakov and Zamolodchikov (KPZ… CONTINUE READING

    Paper Mentions

    Geometric exponents, SLE and logarithmic minimal models
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    Spanning Forests on Random Planar Lattices
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    Liouville quantum gravity and KPZ
    343
    The Coefficient Problem and Multifractality of Whole-Plane SLE & LLE
    10
    Numerical study on schramm-loewner evolution in nonminimal conformal field theories.
    14
    Symmetry relations for multifractal spectra at random critical points
    14
    A REVIEW OF THE 1/N EXPANSION IN RANDOM TENSOR MODELS
    13

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 349 REFERENCES
    Conformal Fractal Geometry and Boundary Quantum Gravity
    77
    Higher Conformal Multifractality
    46
    Conformally Invariant Processes in the Plane
    389
    The dimension of the SLE curves
    191
    Euler Integrals for Commuting SLEs
    74
    Critical Exponents near a Random Fractal Boundary
    1