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- Charles D. Brummitt, Raissa M. D'Souza, E. A. Leicht
- Proceedings of the National Academy of Sciencesâ€¦
- 2012

Understanding how interdependence among systems affects cascading behaviors is increasingly important across many fields of science and engineering. Inspired by cascades of load shedding in coupledâ€¦ (More)

- Charles D. Brummitt, Kyu-Min Lee, K I Goh
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2012

Elements of networks interact in many ways, so modeling them with graphs requires multiple types of edges (or network layers). Here we show that such multiplex networks are generically moreâ€¦ (More)

We introduce a new kind of percolation on finite graphs called jigsaw percolation. This model attempts to capture networks of people who innovate by merging ideas and who solve problems by piecingâ€¦ (More)

- Kyu-Min Lee, Charles D. Brummitt, K I Goh
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2014

Threshold cascade models have been used to describe the spread of behavior in social networks and cascades of default in financial networks. In some cases, these networks may have multiple kinds ofâ€¦ (More)

- Charles D. Brummitt, Paul Hines, Ian Dobson, Cristopher Moore, Raissa M. D'Souza
- Proceedings of the National Academy of Sciencesâ€¦
- 2013

Opinion article + supporting information Charles D. Brummitt1,2, Paul D. H. Hines3, Ian Dobson4, Cristopher Moore5, and Raissa M. Dâ€™Souza2,5,6 1Department of Mathematics, University of California,â€¦ (More)

- Charles D. Brummitt, Rajiv Sethi, Duncan J. Watts
- PloS one
- 2014

We explore a model of the interaction between banks and outside investors in which the ability of banks to issue inside money (short-term liabilities believed to be convertible into currency at par)â€¦ (More)

- Charles D. Brummitt, Eric S. Rowland
- Complex Systems
- 2012

We systematically study the boundaries of one-dimensional, 2color cellular automata depending on 4 cells, begun from simple initial conditions. We determine the exact growth rates of the boundariesâ€¦ (More)

- Charles D. Brummitt, Teruyoshi Kobayashi
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2015

The seniority of debt, which determines the order in which a bankrupt institution repays its debts, is an important and sometimes contentious feature of financial crises, yet its impact on systemwideâ€¦ (More)

- Pierre-AndrÃ© NoÃ«l, Charles D. Brummitt, Raissa M. D'Souza
- Physical review letters
- 2013

Controlling self-organizing systems is challenging because the system responds to the controller. Here, we develop a model that captures the essential self-organizing mechanisms ofâ€¦ (More)

- Charles D. Brummitt, Hannah Delventhal, Michael Retzlaff
- J. Cellular Automata
- 2008

In 1984, Packard [1] introduced simple planar cellular automata to emulate the growth of snow crystals. These Packard Snowflakes have since been popularized by S. Wolfram and others, most recently inâ€¦ (More)