Kenneth Cheng · Macau
From pattern formation and nonlinear mechanics to scientific institutions, reliability, and experimental design: reproducible computation, explicit assumptions, and honest limits turn models into testable research questions.
Latest writing
Every research article is manually written from verified private ScienceProject results and supported by approved figures, numerical checks, negative findings, claim boundaries, and references.
A mathematical-modeling study of how a quantum repeater should trade speed against decoherence when link generation and entanglement swapping are probabilistic.
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A cellular Potts study tests when differential adhesion produces sorting, engulfment, arrested mixtures, or misleadingly similar end states.
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A controlled stress test compares Gaussian, Student-t, historical, and extreme-value risk forecasts under volatility clustering, leverage, heavy tails, and jumps.
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Research is organized by questions and methods, not only by publication date.
Spatial disease, ecosystems, coastal risk, climate forcing, and energy-environment interactions.
Pathways from an open-ended question to assumptions, computation, critique, and communication.
Sensitivity, calibration, robustness, and decision-making when model inputs or operating conditions are uncertain.
Models of routing, accessibility, traffic stability, fleet operations, and infrastructure trade-offs.
Selected research
Only projects with a clear question, reviewed figures, and visible assumptions and limitations appear here.
A cohort-aware model of how slopes, stairs, transfers, crowding, and missing elevators change routes through a border hub.
A verified stochastic population study compares fixed, proportional, and refuge-based harvesting near a nonlinear collapse threshold.
A reproducible obstacle-PDE study resolves the American put exercise boundary and audits price, Greeks, convergence, and complementarity across three numerical methods.
Teaching
Courses, interactive models, Python laboratories, and mentoring form a path from first assumptions to independent inquiry.