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Amanda Hampton, Department of Applied Mathematics, Â鶹ӰԺAnti-integrability for Quadratic Volume Preserving MapsThe dynamics of volume preserving maps can model a variety of mixing problems ranging from microscopic granular

Perrin Ruth, Department of Applied Mathematics, Â鶹ӰԺDodge and survive: modeling the predatory nature of dodgeballThe analysis of games and sports as complex systems can give insights into the dynamics of human competition,

Juan Restrepo, Department of Applied Mathematics, Â鶹ӰԺUsing machine learning to assess short term causal dependence and infer network linksThe general problem of determining causal dependencies in an unknown time-evolving

Nathan Duignan, Department of Applied Mathematics, Â鶹ӰԺNon-Existence of Invariant Surfaces Transverse to FoliationsOf fundamental importance to the qualitative understanding of dynamical systems are invariant manifolds. In

Nicholas Landry, Department of Applied Mathematics, Â鶹ӰԺThe effect of heterogeneity on hypergraph contagion modelsThe dynamics of network social contagion processes such as opinion formation and epidemic spreading are often

Bernd Krauskopf and Hinka OsingaDepartment of Mathematics, University of AucklandHetero-dimensional Cycles and BlendersRecent theoretical work on partially hyperbolic systems by Bonatti and Diaz (and others) has shown that chaotic dynamics may occur

Data-driven modeling of zebrafish individual and collective behaviorZebrafish have recently emerged as an important animal model in preclinical studies due to their genetic similarity with humans and ease of use in laboratory studies. Along with

Statistical Description of Hamiltonian Mixed Phase space systems and many Body Localization  Typical physical systems follow deterministic behavior. This behavior can be sensitive to initial conditions, such that it is very difficult to predict

Dynamics of Nonlinear Random Walks on Complex NetworksRandom walks serve as an important tool in the complex networks community due to widespread applications including Google’ PageRank algorithm, community detection, network exploration, and

Suspensions of active particles in fluids exhibit incredibly rich behavior, from organization on length scales much longer than the individual particle size to mixing flows and negative viscosities. We will discuss the dynamics of hydrodynamically