Critical Gaussian chaos: convergence and uniqueness in the derivative normalisation
From MaRDI portal
Publication:1748935
DOI10.1214/18-EJP157zbMath1390.60182arXiv1704.06058OpenAlexW2951626560MaRDI QIDQ1748935
Publication date: 15 May 2018
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.06058
Related Items
Convergence in law for complex Gaussian multiplicative chaos in phase III ⋮ Maxima of log-correlated fields: some recent developments* ⋮ Critical Liouville measure as a limit of subcritical measures ⋮ The Fyodorov-Bouchaud formula and Liouville conformal field theory ⋮ Liouville measure as a multiplicative cascade via level sets of the Gaussian free field ⋮ Introduction to the Liouville quantum gravity metric ⋮ Brownian half‐plane excursion and critical Liouville quantum gravity ⋮ Extrema of the Two-Dimensional Discrete Gaussian Free Field ⋮ On the Riemann Zeta Function and Gaussian Multiplicative Chaos ⋮ Conformal symmetries in the extremal process of two-dimensional discrete Gaussian free field ⋮ Critical Brownian multiplicative chaos ⋮ Decompositions of log-correlated fields with applications ⋮ UNIQUENESS OF THE WELDING PROBLEM FOR SLE AND LIOUVILLE QUANTUM GRAVITY ⋮ Conformal welding for critical Liouville quantum gravity ⋮ Planar Brownian motion and Gaussian multiplicative chaos
Cites Work
- Unnamed Item
- On Gaussian multiplicative chaos
- Critical Gaussian multiplicative chaos: convergence of the derivative martingale
- Gaussian multiplicative chaos and applications: a review
- Spectral dimension of Liouville quantum gravity
- Diffusion in planar Liouville quantum gravity
- Uniqueness of critical Gaussian chaos
- Liouville quantum gravity and KPZ
- Proof of the law of iterated logarithm through diffusion equation
- KPZ relation does not hold for the level lines and \(\hbox {SLE}_\kappa \) flow lines of the Gaussian free field
- Gaussian multiplicative chaos revisited
- Sur certaines martingales de Benoit Mandelbrot
- Martingale convergence and the stopped branching random walk
- Lognormal \(\star\)-scale invariant random measures
- The Seneta-Heyde scaling for the branching random walk
- Renormalization of critical Gaussian multiplicative chaos and KPZ relation
- Tightness of the recentered maximum of log-correlated Gaussian fields
- An elementary approach to Gaussian multiplicative chaos
- Martingale convergence in the branching random walk
- Convolution roots of radial positive definite functions with compact support
- Measure change in multitype branching
- KPZ formula for log-infinitely divisible multifractal random measures
This page was built for publication: Critical Gaussian chaos: convergence and uniqueness in the derivative normalisation