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In this article we study the tail probability of the mass of Gaussian multiplicative chaos.
Y.K. Belyaev. Continuity and Hölder’s conditions for sample functions of stationary Gaussian processes. Proc. Fourth Berkeley Sympos. Math. Statist. and Prob. (Berkeley, Calif., 1960), vol. 2, Univ. of California Press, Berkeley, 1961, pp. 23–33. MR 26 #815
1961
Earlier work this paper cites.
W. Feller. An Introduction to Probability and Its Applications, vol. II. Wiley, New York (1971)
1971
Earlier work this paper cites.
L. de Haan (1976). An Abel-Tauber Theorem for Laplace Transforms. Journal of the London Mathematical Society, s2-13(3), 537–542. https://doi:10.1112/jlms/s2-13.3.537
1976
Earlier work this paper cites.
J.-P. Kahane. Sur le chaos multiplicatif. Ann. Sci. Math. Québec 9 (1985), no. 2, 105–150
1985
Earlier work this paper cites.
N.H. Bingham, C.M. Goldie and J.L. Teugels. (1989). Regular variation (Vol. 27). Cambridge university press
1989
Earlier work this paper cites.
C.M. Goldie. Implicit Renewal Theory and Tails of Solutions of Random Equations. Ann. Appl. Probab. Volume 1, Number 1 (1991), 126-166
1991
Earlier work this paper cites.
Y. Fyodorov and J.-P. Bouchaud : Freezing and extreme value statistics in a Random Energy Model with logarithmically correlated potential, J. Phys.A: Math.Theor 41 (2008) 372001
2008
Earlier work this paper cites.
R. Rhodes and V. Vargas. Multidimensional Multifractal Random Measures Electron. J. Probab. Volume 15 (2010), paper no. 9, 241–258
2010
Earlier work this paper cites.
R. Robert and V. Vargas. Gaussian multiplicative chaos revisited. Ann. Probab., Volume 38, Number 2 (2010), 605-631
2010
Earlier work this paper cites.
B. Duplantier and S. Sheffield. Liouville quantum gravity and KPZ. Inventiones mathematicae, August 2011, Volume 185, Issue 2, pp 333–393
2011
Cited alongside, same era.
J. Duchon, R. Robert and V. Vargas. Forecasting volatility with the multifractal random walk model. Mathematical Finance, 22.1 (2012): 83-108
2012
Cited alongside, same era.
J. Barral and X. Jin: On exact scaling log-infinitely divisible cascades. Probability Theory and Related Fields 160 (3-4), 521-565 (2014)
2014
Cited alongside, same era.
B. Duplantier, R. Rhodes, S. Sheffield and V. Vargas. Critical Gaussian multiplicative chaos: convergence of the derivative martingale. Ann. Probab., 42(5):1769–1808, 2014
2014
Cited alongside, same era.
B. Duplantier, R. Rhodes, S. Sheffield and V. Vargas. (2014) Renormalization of Critical Gaussian Multiplicative Chaos and KPZ Relation. Comm. Math. Phys. 330 283–330
F. David, A. Kupiainen, R. Rhodes and V. Vargas. Liouville Quantum Gravity on the Riemann Sphere. Commun. Math. Phys. (2016) 342: 869. https://doi.org/10.1007/s00220-016-2572-4
2016
Later among the works it cites.
A. Shamov. On Gaussian multiplicative chaos. J. Funct. Anal. 270 (9) (2016) 3224–3261
2016
Later among the works it cites.
N. Berestycki. An elementary approach to Gaussian multiplicative chaos. Electr. Comm. Probab., vol. 22 (2017), no.27, 1-12
2017
Later among the works it cites.
F. David, A. Kupiainen, R. Rhodes and V. Vargas. Renormalizability of Liouville quantum field theory at the Seiberg bound. Electron. J. Probab. 22 (2017), paper no. 93, 26 pp. doi:10.1214/17-EJP113. https://projecteuclid.org/euclid.ejp/1509501716
2017
Later among the works it cites.
J. Junnila and E. Saksman. Uniqueness of critical Gaussian chaos. Electron. J. Probab., 22:Paper No. 11, 31, 2017
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2014
Cited alongside, same era.
R. Rhodes and V. Vargas. Gaussian multiplicative chaos and applications: a review. Probab. Surv. 11 (2014), 315– 392
2014
Cited alongside, same era.
J. Barral, A. Kupiainen, M. Nikula, E. Saksman and C. Webb. Basic properties of critical lognormal multiplicative chaos. Ann. Probab., Volume 43, Number 5 (2015), 2205-2249
2015
Cited alongside, same era.
C. Webb. The characteristic polynomial of a random unitary matrix and Gaussian multiplicative chaos - The L 2 L^{2} -phase. Electron. J. Probab. Volume 20 (2015), paper no. 104, 21 pp
2015
Cited alongside, same era.
M. Biskup and O. Louidor. Extreme Local Extrema of Two-Dimensional Discrete Gaussian Free Field. Comm. Math. Phys. 345, 271-304 (2016)
2016
Cited alongside, same era.
Cited in the paper.
Cited in the paper.
N. Berestycki. Introduction to the Gaussian Free Field and Liouville Quantum Gravity. Available on the author’s website
Cited in the paper.
2017
Later among the works it cites.
N. Berestycki, C. Webb and M.D. Wong. Random Hermitian matrices and Gaussian multiplicative chaos. Probab. Theory Relat. Fields (2018) 172:103–189 https://doi.org/10.1007/s00440-017-0806-9
2018
Later among the works it cites.
M. Biskup and O. Louidor. Full extremal process, cluster law and freezing for the two-dimensional discrete Gaussian Free Field. Advances in Mathematics 330 (2018) 589–687
2018
Later among the works it cites.
G. Lambert, D. Ostrovsky and N. Simm. Subcritical Multiplicative Chaos for Regularized Counting Statistics from Random Matrix Theory. Commun. Math. Phys. (2018) 360: 1. https://doi.org/10.1007/s00220-018-3130-z
2018
Later among the works it cites.
E. Powell. Critical Gaussian chaos: convergence and uniqueness in the derivative normalisation. Electron. J. Probab. 23 (2018), no. 31, 1–26
2018
Later among the works it cites.