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5 papers · 1 filter
Multidimensional Stability of Waves Travelling Through Rectangular Lattices in Rational Directions
A. Hoffman, H. J. Hupkes, E. Van Vleck
We consider general reaction diffusion systems posed on rectangular lattices in two or more spatial dimensions. We show that travelling wave solutions to such systems that propagat…
Effects of electrostatic correlations on electrokinetic phenomena
Brian D. Storey, Martin Z. Bazant
Classical theory of the electric double layer is based on the fundamental assumption of a dilute solution of point ions. There are a number of situations such as high applied volta…
Laminar flow of two miscible fluids in a simple network
Casey M. Karst, Brian D. Storey, John B. Geddes
When a fluid comprised of multiple phases or constituents flows through a network, non-linear phenomena such as multiple stable equilibrium states and spontaneous oscillations can…
Invariant measures concentrated on countable structures
Nathanael Ackerman, Cameron Freer, Rehana Patel
Let L be a countable language. We say that a countable infinite L-structure M admits an invariant measure when there is a probability measure on the space of L-structures with the…
Estimating the age of renal tumors
Allen B. Downey
We present a Bayesian method for estimating the age of a renal tumor given its size. We use a model of tumor growth based on published data from observations of untreated tumors. W…