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Aspects of aperiodicity and randomness in theoretical physics
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math-phmath.MP
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changequantumaperiodicityapproachesaspectsbrownianconstructiondiffusion
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In this work we explore how the heat kernel, which gives the solution to the diffusion equation and the Brownian motion, would change when we introduce quasiperiodicity in the scenario. We also study the random walk in the Fibonacci sequence. We discuss how these ideas would change the discrete approaches to quantum gravity and the construction of quantum geometry.
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