Maximum and coupling of the sine-Gordon field
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Publication:2129691
DOI10.1214/21-AOP1537zbMath1505.60054arXiv2009.09664OpenAlexW3087046466MaRDI QIDQ2129691
Roland Bauerschmidt, Michael Hofstetter
Publication date: 22 April 2022
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.09664
Random fields (60G60) Gaussian processes (60G15) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)
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Cites Work
- Unnamed Item
- Convergence in law of the minimum of a branching random walk
- Exponential and double exponential tails for maximum of two-dimensional discrete Gaussian free field
- Gaussian multiplicative chaos and applications: a review
- A theory of regularity structures
- Maximum of the characteristic polynomial of random unitary matrices
- Large deviations for the two-dimensional two-component plasma
- Fluctuations for the Ginzburg-Landau \(\nabla \phi\) interface model on a bounded domain
- Convergence of the centered maximum of log-correlated Gaussian fields
- Maximum of a log-correlated Gaussian field
- On the massive sine-Gordon equation in all regions of collapse
- On the massive sine-Gordon equation in the first few regions of collapse
- Bosonization of massive fermions
- Strong solutions to the stochastic quantization equations.
- Sine-Gordon revisited
- Spectral gap for the stochastic quantization equation on the 2-dimensional torus
- Full extremal process, cluster law and freezing for the two-dimensional discrete Gaussian free field
- Conformal symmetries in the extremal process of two-dimensional discrete Gaussian free field
- On the maximum of the C\(\beta\)E field
- The \(\Phi_3^4\) measure via Girsanov's theorem
- The maximum of the four-dimensional membrane model
- Maximum of the Ginzburg-Landau fields
- A variational method for \(\Phi^4_3\)
- Decompositions of log-correlated fields with applications
- Complex Gaussian multiplicative chaos
- Massless sine-Gordon and massive Thirring models: Proof of Coleman's equivalence
- Extreme local extrema of two-dimensional discrete Gaussian free field
- Subsequential tightness of the maximum of two dimensional Ginzburg-Landau fields
- The dynamical sine-Gordon model
- Imaginary multiplicative chaos: moments, regularity and connections to the Ising model
- PARACONTROLLED DISTRIBUTIONS AND SINGULAR PDES
- Extrema of the Two-Dimensional Discrete Gaussian Free Field
- Convergence in Law of the Maximum of the Two‐Dimensional Discrete Gaussian Free Field
- Random Walk: A Modern Introduction
- The Maximum of the CUE Field
- Extremes of the 2d scale-inhomogeneous discrete Gaussian free field: Convergence of the maximum in the regime of weak correlations
- Maximum of the Characteristic Polynomial for a Random Permutation Matrix
- <scp>Space‐Time</scp> Localisation for the Dynamic Model
- <scp>Log‐Sobolev</scp> Inequality for the Continuum <scp>Sine‐Gordon</scp> Model
- Random Fields and Geometry
- Classical and quantum statistical mechanics in one and two dimensions: two-component Yukawa- and Coulomb systems.
- On the maximal inequalities of Burkholder, Davis and Gundy
