Extreme local extrema of two-dimensional discrete Gaussian free field

DOI10.1007/s00220-015-2565-8zbMath1347.82007arXiv1306.2602OpenAlexW2255272027MaRDI QIDQ2630734

Publication date: 21 July 2016

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.2602

zbMATH Keywords

Brownian motion Poisson point process Gaussian free field discrete Gaussian fields

Mathematics Subject Classification ID

Extreme value theory; extremal stochastic processes (60G70) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Martingales and classical analysis (60G46) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items

The extremal process of critical points of the pure $p$-spin spherical spin Glass model, Maximum and coupling of the sine-Gordon field, The minimum modulus of Gaussian trigonometric polynomials, Glassy phase and freezing of log-correlated Gaussian potentials, Maxima of log-correlated fields: some recent developments*, Extreme local extrema of two-dimensional discrete Gaussian free field, Exceptional points of two-dimensional random walks at multiples of the cover time, Subsequential tightness of the maximum of two dimensional Ginzburg-Landau fields, Full extremal process, cluster law and freezing for the two-dimensional discrete Gaussian free field, Convergence in Law of the Maximum of the Two‐Dimensional Discrete Gaussian Free Field, Non-universality for first passage percolation on the exponential of log-correlated Gaussian fields, Dynamical freezing in a spin glass system with logarithmic correlations, A strong law of large numbers for super-critical branching Brownian motion with absorption, Ballot theorems for the two-dimensional discrete Gaussian free field, Tightness for the cover time of the two dimensional sphere, The Fyodorov-Bouchaud formula and Liouville conformal field theory, The maximum of the four-dimensional membrane model, Subsequential scaling limits for Liouville graph distance, Branching random walks, stable point processes and regular variation, Multiscale coupling and the maximum of $\mathcal{P}(\phi)_2$ models on the torus, Quantitative bounds on vortex fluctuations in 2d$2d$ Coulomb gas and maximum of the integer‐valued Gaussian free field, Heat kernels, stochastic processes and functional inequalities. Abstracts from the workshop held October 30 -- November 5, 2022, Exceptional points of discrete-time random walks in planar domains, Extremes of the 2d scale-inhomogeneous discrete Gaussian free field: Convergence of the maximum in the regime of weak correlations, A limit law for the most favorite point of simple random walk on a regular tree, Universality of the minimum modulus for random trigonometric polynomials, The fixed points of branching Brownian motion, The maximum of log‐correlated Gaussian fields in random environment, Maximum of the Ginzburg-Landau fields, High points of branching Brownian motion and McKean's Martingale in the Bovier-Hartung extremal process, Gaussian multiplicative chaos and applications: a review, Extrema of the Two-Dimensional Discrete Gaussian Free Field, Is the Riemann Zeta Function in a Short Interval a 1-RSB Spin Glass?, Conformal symmetries in the extremal process of two-dimensional discrete Gaussian free field, Maximum of the characteristic polynomial of random unitary matrices, On the maximum of the C$\beta$E field, Extremes of local times for simple random walks on symmetric trees, Extremes of some Gaussian random interfaces, Diffusion processes on branching Brownian motion, The glassy phase of complex branching Brownian motion, Freezing and decorated Poisson point processes, 1-stable fluctuations in branching Brownian motion at critical temperature. I: The derivative martingale, Critical Brownian multiplicative chaos, Renormalization of critical Gaussian multiplicative chaos and KPZ relation, On intermediate level sets of two-dimensional discrete Gaussian free field, Two-temperatures overlap distribution for the 2D discrete Gaussian free field, From Spin Glasses to Branching Brownian Motion—and Back?, Extremes of the 2d scale-inhomogeneous discrete Gaussian free field: Extremal process in the weakly correlated regime, Large deviations for level sets of a branching Brownian motion and Gaussian free fields, On the branching convolution equation $\mathcal{E}=\mathcal{Z}\circledast \mathcal{E} $, A new proof of Liggett's theorem for non-interacting Brownian motions, Planar Brownian motion and Gaussian multiplicative chaos, Universal tail profile of Gaussian multiplicative chaos, Complex Gaussian multiplicative chaos, Unnamed Item, A universality result for subcritical complex Gaussian multiplicative chaos

Cites Work