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12 papers · 1 filter
Model Reduction via Parametrized Locally Invariant Manifolds: Some Examples
Aarti Sawant, Amit Acharya
A method for model reduction in nonlinear ODE systems is demonstrated through computational examples. The method does not require an implicit separation of time-scales in the fine…
Fundamental decoherence from relational time in discrete quantum gravity: Galilean covariance
Rodolfo Gambini, Rafael Porto, Jorge Pullin
We have recently argued that if one introduces a relational time in quantum mechanics and quantum gravity, the resulting quantum theory is such that pure states evolve into mixed s…
Online convex optimization in the bandit setting: gradient descent without a gradient
Abraham D. Flaxman, Adam Tauman Kalai, H. Brendan McMahan
We consider a the general online convex optimization framework introduced by Zinkevich. In this setting, there is a sequence of convex functions. Each period, we must choose a sign…
Predicate Abstraction with Indexed Predicates
Shuvendu K. Lahiri, Randal E. Bryant
Predicate abstraction provides a powerful tool for verifying properties of infinite-state systems using a combination of a decision procedure for a subset of first-order logic and…
Realistic clocks, universal decoherence and the black hole information paradox
Rodolfo Gambini, Rafael Porto, Jorge Pullin
Ordinary quantum mechanics is formulated on the basis of the existence of an ideal classical clock external to the system under study. This is clearly an idealization. As emphasize…
Dirac-like approach for consistent discretizations of classical constrained theories
Cayetano Di Bartolo, Rodolfo Gambini, Rafael Porto +1
We analyze the canonical treatment of classical constrained mechanical systems formulated with a discrete time. We prove that under very general conditions, it is possible to intro…