All research directions01 / MOTIVATING OBSERVATION
A system can be governed by simple local rules and still produce behavior that is difficult to anticipate. A convincing explanation of a past pattern may offer little ability to predict the next one.
02 / STARTING CONTEXT
Nonlinear dynamics and agent-based modeling provide starting tools for examining this gap. The lab's question is which patterns remain useful when observations are incomplete, initial conditions change, or a system adapts.
03 / WORKING HYPOTHESIS
Some aggregate features may be more stable and predictable than individual trajectories. A model should identify the scale and time horizon at which its forecasts remain informative.
04 / PROPOSED INVESTIGATION
- Build a small model with explicit local rules and observable aggregate behavior.
- Vary initial conditions, measurement noise, and interaction strength.
- Compare forecasts across individual and collective scales.
- Measure uncertainty and performance on cases held out from model development.
05 / WHAT WOULD CHALLENGE THE IDEA?
If a pattern disappears under small plausible changes, or offers no improvement over a simple baseline, the claimed predictive structure needs to be reconsidered.
STARTING LITERATURE
External work by other researchers provides context for this direction.
DOCUMENTING THE WORK
Papers, simulations, and video explanations will be linked as this investigation develops.
Visit the notebookConnected questions.
06Emergence & prediction
Can the mathematics of stress and failure help us understand financial instability?
Translate a physical analogy into a testable model of market stress, then assess its usefulness against established risk measures and unseen periods.