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Cauchy-born Rule and the Stability of Crystalline Solids:Dynamic Problems
Cauchy-born Rule the Stability Crystalline Solids Dynamic Problems
2012/8/7
We study continuum and atomistic models for the elastodynamics of crystalline
solids at zero temperature. We establish sharp criterion for the regime of validity of the
nonlinear elastic wave equati...
Page has recently argued that the Born rule does not suffice for computing all probabilities in quantum cosmology. He further asserts that the Born rule's failure gives rise to the cosmological measur...
This note is a somewhat-lighthearted comment on a recent paper by David Wallace entitled "A formal proof of the Born rule from decision-theoretic assumptions".
A formal proof of the Born rule from decision-theoretic assumptions
Everett interpretation Probability in quantum theory
2009/6/19
I develop the decision-theoretic approach to quantum probability, originally proposed by David Deutsch, into a mathematically rigorous proof of the Born rule in (Everett-interpreted) quantum mechanics...
Cauchy-Born Rule and the Stability of Crystalline Solids: Static Problems
Atomistic models of solids nonlinear elasticity Cauchy-Born rule stability of crystals
2012/8/1
We study the connection between atomistic and continuum models for the elastic deformation of crystalline solids at zero temperature. We prove, under certain sharp stability conditions, that the corre...