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Optimal mass normalizability for Gibbs measure associated with NLS on the 2D disc

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arxiv 2204.09561 v1 pith:57RAB5HJ submitted 2022-04-20 math.PR math.AP

Tianhao Xian This is my paper · ORCID
classification math.PRmath.AP
keywords massnormalizabilityassociateddiscgibbsmathbbmeasureoptimal
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abstract

We prove the normalizability of Gibbs measure associated with radial focusing nonlinear Schr\"{o}dinger equation (NLS) on the 2-dimensional disc $\mathbb{D}$, at critical mass threshold. The result completes the study of optimal mass normalizability on $\mathbb{D}$ by Oh-Sosoe-Tolomeo (2021).

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  1. Gibbs measures as local equilibrium KMS states for focusing nonlinear Schr\"odinger equations

    math.AP 2024-12 conditional novelty 7.0 of 10

    Local KMS equilibrium states of focusing NLS and Hartree flows on T^d for d=1,2,3 coincide, on mass sublevel sets, with truncated Gibbs measures.

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