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In \cite{GRV}, a Feller process called Liouville Brownian motion on $\R^2$ has been introduced.
Kakutani S.: Two dimensional Brownian motion and harmonic functions. Proc. Imp. Acad. Tokyo 20, 706-714 (1944). \MR
1944
Earlier work this paper cites.
Revuz D.: Remarque sur les potentiels de mesures, Séminaire de probabilités (Strasbourg) 5
1971
Earlier work this paper cites.
Kahane, J.-P.: Sur le chaos multiplicatif, Ann. Sci. Math. Québec , 9
1985
Earlier work this paper cites.
David F.: Conformal Field Theories Coupled to 2-D Gravity in the Conformal Gauge, Mod. Phys. Lett. A 3
1988
Earlier work this paper cites.
Karatzas I., Shreve S.: Brownian motion and stochastic calculus, Graduate texts in mathematics, Springer (1988). \MR
1988
Earlier work this paper cites.
Knizhnik V.G., Polyakov A.M., Zamolodchikov A.B.: Fractal structure of 2D-quantum gravity, Modern Phys. Lett A 3
1988
Earlier work this paper cites.
Yan J.-A.: A formula for densities of transition functions, Séminaire de probabilités (Strasbourg) 22
1988
Earlier work this paper cites.
Davies E.B.: Heat kernels and spectral theory, Cambridge University Press, 1989. \MR
1989
Earlier work this paper cites.
Distler J., Kawai H.: Conformal Field Theory and 2-D Quantum Gravity or Who’s Afraid of Joseph Liouville?, Nucl. Phys. B321
1989
Earlier work this paper cites.
Biroli M., Mosco U.: Formes de Dirichlet et estimations structurelles dans les milieux discontinus, C. R. Acad. Sci. Paris , 313, 1991, p 593-598. \MR
1991
Cited alongside, same era.
Varopoulos N., Saloff-Coste L., Coulhon T.: Analysis and geometry on groups, Cambridge University Press, 1992. \MR
1992
Cited alongside, same era.
Ginsparg P. and Moore G.: Lectures on 2D gravity and 2D string theory, in Recent direction in particle theory
1993
Cited alongside, same era.
Fukushima M., Oshima Y., Takeda M., Dirichlet Forms and Symmetric Markov Processes, De Gruyter Studies in Mathematics 19, Walter de Gruyter, Berlin and Hawthorne, New York, 1994. \MR
1994
Cited alongside, same era.
Sturm K.T.: Analysis on local Dirichlet spaces. I. Recurrence, conservativeness and L p L^{p} -Liouville properties, J. Reine Angew. Math. 456
1994
Nakayama Y.: Liouville Field Theory – A decade after the revolution, Int. J. Mod. Phys. A19
2004
Later among the works it cites.
Robert, R. Vargas, V.: Hydrodynamic Turbulence and Intermittent Random Fields, Communications in Mathematical Physics , 284
2008
Later among the works it cites.
Benjamini, I., Schramm, O.: KPZ in one dimensional random geometry of multiplicative cascades, Communications in Mathematical Physics , vol. 289, no 2, 653-662, 2009. \MR
2009
Later among the works it cites.
Hu X., Miller J., Peres Y.: Thick points of the Gaussian free field, Annals of Probability , 38
2010
Later among the works it cites.
Robert, R., Vargas, V.: Gaussian multiplicative chaos revisited, Annals of Probability , 38
2010
Later among the works it cites.
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Cited alongside, same era.
Biroli M., Mosco U.: A Saint-Venant principle for Dirichlet forms on discontinuous media, Annali di Matematica Pura ed Applicata 169
1995
Cited alongside, same era.
Di Francesco P., Ginsparg P., Zinn-Justin J.: 2D gravity and random matrices, Physics Reports 254
1995
Cited alongside, same era.
Sturm K.T.: The geometric aspect of Dirichlet forms, New directions in Dirichlet forms, 233-277, AMS/IP Stud. Adv. Math. , 8, Amer. Math. Soc., Providence, RI, 1998. \MR
1998
Cited alongside, same era.
Barral, J., Mandelbrot, B.B.: Random Multiplicative Multifractal Measures I, II, III, in M. Lapidus, M. van Frankenhuijsen, eds., Fractal geometry and applications: a jubilee of Benoît Mandelbrot, Proceedings of Symposia in Pure Mathematics, 72
2004
Cited alongside, same era.
Cited in the paper.
Cited in the paper.
Stollmann P.: A dual characterization of length spaces with application to Dirichlet metric spaces, Studia Mathematica . 2010. \MR
2010
Later among the works it cites.
Duplantier, B., Sheffield, S.: Liouville Quantum Gravity and KPZ, Inventiones Mathematicae 185
2011
Later among the works it cites.
Kim P., Song R., Vondraček: On harmonic functions for trace processes, Math. Nachr. 284
2011
Later among the works it cites.
Rhodes, R. Vargas, V.: KPZ formula for log-infinitely divisible multifractal random measures, ESAIM Probability and Statistics , 15
2011
Later among the works it cites.