2 problems
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The crystallization conjecture for ground states of interacting systems
A ground state is a configuration of interacting particles that minimizes the system's energy, and a periodic lattice is a particle arrangement invariant under translations by the…
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KPZ universality conjecture for long-wavelength dynamics of classical one-dimensional fluids
A classical one-dimensional fluid at finite temperature is described at long wavelengths by the Kardar–Parisi–Zhang universality class. KPZ universality conjecture. The long-wavele…