78 citations · 154 across the 5 of their papers we have counts for
6 papers
Network and Phase Symmetries Reveal That Amplitude Dynamics Stabilize Decoupled Oscillator Clusters
J. Emenheiser, A. Salova, J. Snyder +2
Oscillator networks display intricate synchronization patterns. Determining their stability typically requires incorporating the symmetries of the network coupling. Going beyond an…
Koopman Operator and its Approximations for Systems with Symmetries
Anastasiya Salova, Jeffrey Emenheiser, Adam Rupe +2
Nonlinear dynamical systems with symmetries exhibit a rich variety of behaviors, including complex attractor-basin portraits and enhanced and suppressed bifurcations. Symmetry argu…
Unique Information and Secret Key Agreement
Ryan G. James, Jeffrey Emenheiser, James P. Crutchfield
The partial information decomposition (PID) is a promising framework for decomposing a joint random variable into the amount of influence each source variable Xi has on a target va…
A Perspective on Unique Information: Directionality, Intuitions, and Secret Key Agreement
Ryan G. James, Jeffrey Emenheiser, James P. Crutchfield
Recently, the partial information decomposition emerged as a promising framework for identifying the meaningful components of the information contained in a joint distribution. Its…
Unique Information via Dependency Constraints
Ryan G. James, Jeffrey Emenheiser, James P. Crutchfield
The partial information decomposition (PID) is perhaps the leading proposal for resolving information shared between a set of sources and a target into redundant, synergistic, and…
Evolution of opinions on social networks in the presence of competing committed groups
J. Xie, J. Emenheiser, M. Kirby +3
Public opinion is often affected by the presence of committed groups of individuals dedicated to competing points of view. Using a model of pairwise social influence, we study how…