Log-correlated Gaussian fields: an overview
暂无分享,去创建一个
Scott Sheffield | Vincent Vargas | R'emi Rhodes | V. Vargas | S. Sheffield | R. Rhodes | B. Duplantier | Bertrand Duplantier | Rémi Rhodes
[1] M. Jimbo,et al. Introduction to Microlocal Analysis , 1976 .
[2] Lionel Levine,et al. Internal DLA and the Gaussian free field , 2011, 1101.0596.
[3] C. Lanczos. Applied Analysis , 1961 .
[4] J. Bell. Gaussian Hilbert spaces , 2015 .
[5] T. Lindstrøm,et al. FRACTIONAL BROWNIAN FIELDS AS INTEGRALS OF WHITE NOISE , 1993 .
[6] Sheldon Goldstein,et al. JOURNAL OF STATISTICAL PHYSICS Vol.67, Nos.5/6, June 1992 QUANTUM EQUILIBRIUM AND The , 2002 .
[7] Scott Sheffield,et al. Fractional Gaussian fields: A survey , 2014, 1407.5598.
[8] P. Hintz. 18.157: INTRODUCTION TO MICROLOCAL ANALYSIS , 2019 .
[9] William H. Ruckle,et al. Nuclear Locally Convex Spaces , 1972 .
[10] Zhengyuan Zhu,et al. PARAMETER ESTIMATION FOR FRACTIONAL BROWNIAN SURFACES , 2003 .
[11] O. Schramm,et al. A contour line of the continuum Gaussian free field , 2010, 1008.2447.
[12] Statistica Sinica , .
[13] Xuelei Chen,et al. Cosmological parameter fittings with the BICEP2 data , 2014, 1403.6462.
[14] A. Cipriani. High points for the membrane model in the critical dimension , 2013, 1303.6792.
[15] Scott Sheffield,et al. Liouville quantum gravity and KPZ , 2008, 0808.1560.
[16] J. Kahane. Sur le chaos multiplicatif , 1985 .
[17] Scott Sheffield,et al. Critical Gaussian multiplicative chaos: Convergence of the derivative martingale , 2012, 1206.1671.
[18] D. Jutras. Quebec. , 1907 .
[19] A. Krall. Applied Analysis , 1986 .
[20] E. Stein,et al. Introduction to Fourier analysis on Euclidean spaces (PMS-32) , 1972 .
[21] Shirley Dex,et al. JR 旅客販売総合システム(マルス)における運用及び管理について , 1991 .
[22] E. Harrell. Communications in Partial Differential Equations , 2007 .
[23] Scott Sheffield,et al. Renormalization of Critical Gaussian Multiplicative Chaos and KPZ Relation , 2012, Communications in Mathematical Physics.
[24] D. Jakobson,et al. Gaussian Free Fields and KPZ Relation in $${\mathbb{R}^4}$$R4 , 2014 .
[25] Luis G. Gorostiza,et al. Fractional Brownian motion via fractional Laplacian , 1999 .
[26] R. W. Ogburn,et al. Detection of B-mode polarization at degree angular scales by BICEP2. , 2014, Physical review letters.
[27] P. Levy. Processus stochastiques et mouvement brownien , 1948 .
[28] L. Caffarelli,et al. An Extension Problem Related to the Fractional Laplacian , 2006, math/0608640.
[29] Raoul Robert,et al. FORECASTING VOLATILITY WITH THE MULTIFRACTAL RANDOM WALK MODEL , 2008, 0801.4220.
[30] Josselin Garnier. Probability Theory and Related Fields. Manuscript-nr. Stochastic Invariant Imbedding Application to Stochastic Diierential Equations with Boundary Conditions , 2007 .
[31] N. Kurt. Maximum and entropic repulsion for a Gaussian membrane model in the critical dimension , 2008, 0801.0551.
[32] Log-Normal continuous cascades: aggregation properties and estimation. Application to financial time-series , 2008, 0804.0185.
[33] Xavier Ros-Oton,et al. The Dirichlet problem for the fractional Laplacian: Regularity up to the boundary , 2012, 1207.5985.
[34] E. Stein,et al. Introduction to Fourier Analysis on Euclidean Spaces. , 1971 .
[35] R. Wilson. Modern Cosmology , 2004 .
[36] Z. Ciesielski,et al. On Lévy's Brownian Motion with several - dimensional time , 1975 .
[37] S. Sheffield. Gaussian free fields for mathematicians , 2003, math/0312099.
[38] P. Levy. Le mouvement brownien , 1955 .
[39] J. P. McKean. Brownian Motion with a Several-Dimensional Time , 1963 .
[40] Luis Silvestre,et al. Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian , 2007, math/0702392.
[41] Romain Allez,et al. Lognormal $${\star}$$ -scale invariant random measures , 2011, 1102.1895.
[42] Hironobu Sakagawa. On the Free Energy of a Gaussian Membrane Model with External Potentials , 2012 .
[43] B. M. Fulk. MATH , 1992 .
[44] V. Vargas,et al. KPZ formula for log-infinitely divisible multifractal random measures , 2008, 0807.1036.