3 problems

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Superdiffusive KPZ scaling conjecture for classical G-invariant integrable field theories
Superdiffusive KPZ scaling conjecture. The KPZ scaling profiles, and hence superdiffusive dynamics characterized by the anomalous dynamical exponent $z=3/2$ , occur across all such…
Conjecturesolvedintegrable-systems kpz-universality superdiffusionarXiv posted 2 days ago
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Superdiffusion in isotropic media of odd spatial dimension
Consider a spatially extended system with symmetry, reduced into dynamics along the symmetry group and an orthogonal shape dynamics. The group variables are driven by the shape var…
Conjecturesolveddynamical-systems superdiffusion symmetryarXiv posted 2 days ago
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Non-vanishing sound speed conjecture for thermal-energy superdiffusion
The model consists of charged harmonic oscillators arranged on a $d$ -dimensional lattice, with each oscillator moving in a $d^*$ -dimensional space, where $d^*\geq 2$ so that a magn…
Conjectureopenharmonic-systems superdiffusion thermal-conductivityarXiv posted 2 days ago

Superdiffusive KPZ scaling conjecture for classical G-invariant integrable field theories