The critical 2d stochastic heat flow

DOI10.1007/s00222-023-01184-7arXiv2109.03766OpenAlexW3196501854MaRDI QIDQ6101152

Nikos Zygouras, Francesco Caravenna, Rongfeng Sun

Publication date: 20 June 2023

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.03766

zbMATH Keywords

renormalizationstochastic heat equationKPZ equationcoarse-grainingLindeberg principledirected polymer in random environment

Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (8)

Moments of partition functions of 2d Gaussian polymers in the weak disorder regime-I ⋮ Delta-Bose gas from the viewpoint of the two-dimensional stochastic heat equation ⋮ The stochastic heat equation with multiplicative Lévy noise: existence, moments, and intermittency ⋮ Moments of the 2D directed polymer in the subcritical regime and a generalisation of the Erdös-Taylor theorem ⋮ The critical 2d stochastic heat flow is not a Gaussian multiplicative chaos ⋮ Gaussian fluctuations for the stochastic Burgers equation in dimension \(d \geq 2\) ⋮ Local KPZ behavior under arbitrary scaling limits ⋮ Continuum models of directed polymers on disordered diamond fractals in the critical case

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