Complex Gaussian multiplicative chaos
From MaRDI portal
Publication:2346832
DOI10.1007/s00220-015-2362-4zbMath1322.60065arXiv1307.6117OpenAlexW4300099033MaRDI QIDQ2346832
Hubert Lacoin, Rémi Rhodes, Vincent Vargas
Publication date: 4 June 2015
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1307.6117
renormalization theoryGaussian multiplicative chaosLiouville quantum gravityGaussian free fieldstachyon fields
Random fields (60G60) Gaussian processes (60G15) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Random measures (60G57)
Related Items (32)
On Gaussian multiplicative chaos ⋮ Solutions to complex smoothing equations ⋮ Maximum and coupling of the sine-Gordon field ⋮ Random Hermitian matrices and Gaussian multiplicative chaos ⋮ Glassy phase and freezing of log-correlated Gaussian potentials ⋮ Convergence in law for complex Gaussian multiplicative chaos in phase III ⋮ The dynamical sine-Gordon model ⋮ Imaginary multiplicative chaos: moments, regularity and connections to the Ising model ⋮ Brownian loops, layering fields and imaginary Gaussian multiplicative chaos ⋮ A second-quantized Kolmogorov-Chentsov theorem via the operator product expansion ⋮ Liouville quantum gravity with matter central charge in (1, 25): a probabilistic approach ⋮ Multiscale coupling and the maximum of \(\mathcal{P}(\phi)_2\) models on the torus ⋮ Lee-Yang property and Gaussian multiplicative chaos ⋮ Secular coefficients and the holomorphic multiplicative chaos ⋮ Loewner evolution driven by complex Brownian motion ⋮ The Riemann zeta function and Gaussian multiplicative chaos: statistics on the critical line ⋮ The phase diagram of the complex branching Brownian motion energy model ⋮ On the Riemann Zeta Function and Gaussian Multiplicative Chaos ⋮ Liouville Brownian motion at criticality ⋮ Invariant Gibbs dynamics for the dynamical sine-Gordon model ⋮ On the parabolic and hyperbolic Liouville equations ⋮ Large deviations for the two-dimensional two-component plasma ⋮ The glassy phase of complex branching Brownian motion ⋮ Renormalization of critical Gaussian multiplicative chaos and KPZ relation ⋮ Precise high moment asymptotics for parabolic Anderson model with log-correlated Gaussian field ⋮ On the two-dimensional hyperbolic stochastic sine-Gordon equation ⋮ Continuum directed random polymers on disordered hierarchical diamond lattices ⋮ A review of conjectured laws of total mass of Bacry–Muzy GMC measures on the interval and circle and their applications ⋮ Dynamical fractional and multifractal fields ⋮ Density of imaginary multiplicative chaos via Malliavin calculus ⋮ A universality result for subcritical complex Gaussian multiplicative chaos ⋮ Semiclassical limit of Liouville field theory
Cites Work
- Unnamed Item
- Unnamed Item
- Liouville quantum gravity on the Riemann sphere
- Glassy phase and freezing of log-correlated Gaussian potentials
- Liouville Brownian motion
- Gaussian multiplicative chaos and KPZ duality
- Planar maps, circle patterns and 2D gravity
- Critical Gaussian multiplicative chaos: convergence of the derivative martingale
- Gaussian multiplicative chaos and applications: a review
- Convergence in law for the branching random walk seen from its tip
- Liouville quantum gravity and KPZ
- Basic properties of critical lognormal multiplicative chaos
- Maximum of a log-correlated Gaussian field
- Gaussian multiplicative chaos revisited
- Multidimensional multifractal random measures
- Uniform convergence for complex [0,1-martingales]
- Convergence of complex multiplicative cascades
- Minimal position and critical martingale convergence in branching random walks, and directed polymers on disordered trees
- Mean field theory of directed polymers with random complex weights
- Log-infinitely divisible multifractal processes
- Multifractal products of cylindrical pulses
- Lognormal \(\star\)-scale invariant random measures
- The glassy phase of complex branching Brownian motion
- Complex random energy model: zeros and fluctuations
- Levy multiplicative chaos and star scale invariant random measures
- Renormalization of critical Gaussian multiplicative chaos and KPZ relation
- Extreme local extrema of two-dimensional discrete Gaussian free field
- Gaussian free fields for mathematicians
- WARD IDENTITIES IN TWO-DIMENSIONAL STRING THEORY
- Gaussian free field and conformal field theory
- LIOUVILLE FIELD THEORY: A DECADE AFTER THE REVOLUTION
- Convergence in Law of the Maximum of the Two‐Dimensional Discrete Gaussian Free Field
- KPZ formula for log-infinitely divisible multifractal random measures
- Log-correlated Gaussian Fields: An Overview
- College Admissions and the Stability of Marriage
- Fractional Gaussian fields: a survey
This page was built for publication: Complex Gaussian multiplicative chaos
