4 problems

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The all-order Fermi golden rule formula for nonlinear Schrödinger equations
Fermi golden rule formula. The identity
Conjectureopenfermi-golden-rule nonlinear-schrodinger-equations perturbation-theoryarXiv posted 2 days ago
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The general Fermi golden rule formula for nonlinear Schrödinger operators
General Fermi golden rule formula. The formula
Conjectureopenfermi-golden-rule nonlinear-schrodinger-equations spectral-theoryarXiv posted 2 days ago
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Discreteness conjecture for the fourth-order Fermi Golden Rule exceptional set
Discreteness conjecture. As in the case $n=3$ , $(p_3,p_4)\setminus F_4$ is a discrete subset of $(p_3,p_4)$ .
Conjectureopenasymptotic-stability fermi-golden-rule nonlinear-schrodinger-equationarXiv posted 2 days ago
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Soffer–Weinstein's weak-resonance Fermi golden rule conjecture
Consider a Hamiltonian nonlinear perturbation of the linear dispersive Klein–Gordon equation with a discrete eigenfrequency $\omega$ and continuous spectral threshold $m$ , in the w…
Conjectureopenfermi-golden-rule nonlinear-klein-gordon weak-resonancearXiv posted 2 days ago

The all-order Fermi golden rule formula for nonlinear Schrödinger equations