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40 papers · 1 filter
On asymptotics for the Mabuchi energy functional
D. H. Phong, Jacob Sturm
If is a projective manifold in , then one can associate to each one parameter subgroup of the Mumford invariant. The manifold is Chow-Mumford stable…
Understanding Deutsch's probability in a deterministic multiverse
Hilary Greaves
Difficulties over probability have often been considered fatal to the Everett interpretation of quantum mechanics. Here I argue that the Everettian can have everything she needs fr…
Optimal length and signal amplification in weakly activated signal transduction cascades
Madalena Chaves, Eduardo D. Sontag, Robert J. Dinerstein
Weakly activated signaling cascades can be modeled as linear systems. The input-to-output transfer function and the internal gain of a linear system, provide natural measures for t…
On the Role of Density Matrices in Bohmian Mechanics
Detlef Duerr, Sheldon Goldstein, Roderich Tumulka +1
It is well known that density matrices can be used in quantum mechanics to represent the information available to an observer about either a system with a random wave function (``s…
Geometric Algebra Techniques for General Relativity
Matthew R. Francis, Arthur Kosowsky
Geometric (Clifford) algebra provides an efficient mathematical language for describing physical problems. We formulate general relativity in this language. The resulting formalism…
Scaling of the Coercive Field with Thickness in Thin-Film Ferroelectrics
P. Chandra, M. Dawber, P. B. Littlewood +1
Motivated by the observed thickness-scaling of the coercive field in ferroelectric films over five decades, we develop a statistical approach towards understanding the conceptual u…