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Pathwise Information Theory in Two Dimensions

Student-Run Applied & Math Seminar

Speaker: Jordan Snyder, UC Davis
Location: 2112 MSB
Start time: Wed, Nov 26 2014, 12:10PM

We consider an approach to extending Information Theory to spatially extended systems based on computing information quantities along collections of self-avoiding walks on the underlying lattice. Several test cases are analyzed and techniques are proposed for extracting geometric information from pathwise information quantities. Finally, we consider some data sets of physical interest (2D Ising model) and discuss possible generalizations.