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We formulate a classification conjecture for conformally invariant families of measures on simple loops that builds on a conjecture of Kontsevich and Suhov.
Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations
Michael-Robert Herman · 1979
Earlier work this paper cites.
The canonic diffusion above the diffeomorphism group of the circle
Paul Malliavin · 1999
Earlier work this paper cites.
Conformal restriction: the chordal case
Gregory Lawler, Oded Schramm, and Wendelin Werner · 2003
Earlier work this paper cites.
The Brownian loop soup
Gregory F. Lawler and Wendelin Werner · 2004
Earlier work this paper cites.
On Malliavin measures, SLE, and CFT
M. Kontsevich and Y. Suhov · 2007
Earlier work this paper cites.
An introduction to rotation theory
Christian Kuehn · 2007
Cited alongside, same era.
The dimension of the SLE curves
Vincent Beffara · 2008
Cited alongside, same era.
The conformally invariant measure on self-avoiding loops
Wendelin Werner · 2008
Cited alongside, same era.
Universality in the 2D Ising model and conformal invariance of fermionic observables
Dmitry Chelkak and Stanislav Smirnov · 2012
Cited alongside, same era.
Random curves on surfaces induced from the laplacian determinant
Adrien Kassel and Richard Kenyon · 2012
Cited alongside, same era.
Building SLE κ
Stéphane Benoist and Julien Dubédat
Cited in the paper.
An SLE 4 loop measure (work in progress)
Stéphane Benoist and Julien Dubédat
Cited in the paper.
Conformal loop ensembles: the Markovian characterization and the loop-soup construction
Scott Sheffield and Wendelin Werner · 2012
Later among the works it cites.
An SLE 2 loop measure
Stéphane Benoist and Julien Dubédat · 2014
Later among the works it cites.
Werner’s measure on self-avoiding loops and welding
Angel Chavez and Doug Pickrell · 2014
Later among the works it cites.
The scaling limit of critical Ising interfaces is CLE 3
Stéphane Benoist and Clément Hongler · 2016
Closest in time.
Imaginary geometry I: interacting SLEs
Jason Miller and Scott Sheffield · 2016
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