4 problems
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The trace-class conjecture for the fourth power of the collision kernel
Trace conjecture. The fourth power of should have finite trace:
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The kinetic conjecture on leading Feynman diagrams
Kinetic conjecture. In a leading Feynman diagram, the sum of these phases vanishes for every choice of internal wave numbers, with the cancellation holding for .
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Kinetic conjecture for leading Feynman diagrams
Kinetic conjecture. In a leading Feynman diagram, the Kirchhoff rule never forces an identification of the form with some wave vector . In addition, the sum of t…
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The phonon Boltzmann equation conjecture for weakly anharmonic lattices
Let … by in the interaction parameter, and let be the dispersion relation whose square is the Fourier transform of the lattice operator . For macroscopic va…