Unified Growth Theory disproved by lack of economic takeoffs.
problem The absence of economic takeoffs from stagnation to growth.
method Analysis of historical economic growth data.
result Takeoffs from stagnation to growth never occurred.
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Analyzes historical economic growth trends using hyperbolic distributions.
problem Understanding the natural tendency of historical economic growth.
method Data analysis of world and regional economic growth using hyperbolic distributions.
result Historical economic growth follows hyperbolic distributions with specific parameters.
Unified Growth Theory contradicted by Asian economic data.
problem Unified Growth Theory fails to explain Asian economic growth.
method Analysis of historical economic growth data in Asia.
result Asian economic growth was hyperbolic, not stagnant.
Unified Growth Theory found to be incorrect by GDP/cap data analysis.
problem Misinterpretation of historical GDP/cap distributions.
method Analysis of mathematical properties of historical GDP/cap distributions.
result Unified Growth Theory contradicted by data, showing a single growth process.
Unified Growth Theory contradicted by Latin American economic data.
problem Unified Growth Theory fails to explain Latin American economic growth.
method Analysis of historical economic growth data from Maddison.
result Unified Growth Theory is inconsistent with Latin American data.
The article develops a model for predicting aircraft motion in terminal airspace.
problem Predicting aircraft motion for collision avoidance and safety analysis.
method Fits a probabilistic generative model to historical position data of aircraft landings and takeoffs.
result The model generates realistic trajectories, provides accurate predictions, and captures statistical properties of aircraft trajectories.
This paper extends stock trading results to include stop-loss orders.
problem Generalizing stock trading results with stop-loss orders.
method Geometric Brownian motion model, affine feedback controller, closed-form expression for cumulative distribution function.
result Affine feedback controller with stop-loss order generalizes results without stop-loss orders.
New control strategy mitigates stock trading drawdowns.
problem Mitigating drawdowns in stock trading.
method Drawdown-modulated feedback control using control theory.
result Optimal investment strategy that maximizes logarithmic growth.
Unified Growth Theory debunked: economic growth is insecure and unsustainable.
problem The mystery of the great divergence in income per capita.
method Analysis of economic data to show that growth trajectories are increasing vertically over time.
result Unified Growth Theory is incorrect and promotes misleading concepts.
This paper explores using nonlinear control for robust logarithmic growth in coin flipping games.
problem Tackles the use of nonlinear control in recursive betting games with logarithmic growth.
method Formulates a robust nonlinear control problem for a simple coin flipping game, considering a probability range for the coin's bias.
result Provides a closed-form description of the optimal robust nonlinear controller, which outperforms linear controllers.