Static Models | Spatial Interaction Models | Constraints | Maximum Entropy Models | Dynamic Models | Harris and Wilson Equilibrium Values | A Dynamic Model: The Boltzmann–Lotka–Volterra Model | Diversity | Self-Exchange Configurations | Location Domination and Terminals | Domination Graphs | Potential function from Osawa et al (2025) | The potential function | Gradient of the potential function | Hessian of the potential function | The general Hessian | Simplification at an interior equilibrium | KKT Conditions and Equilibrium Structure | References

Locations and setup | Computing a collection of models | Exploring the results | Single model extraction | Variability plot | Statistics-oriented display | Organising the results | Clustering the models | Showing cluster variability | Finding representative models | Real-world examples | European cities | Models | Clustering | Medoids | French cities | Production effects

Executive summary | Likelihood functions for Markov chains | Likelihood functions for VLMC | Truncated solution | Specific contexts | Extended contexts | Complete example | Monotonicity | Nested models | Theoretical analysis | Experimental illustration | Model selection | Specific and extended likelihood | Truncated likelihood | Coherence with other uses of a VLMC | Sampling | Prediction

Theoretical results | Sampling from a VLMC | Introduction | CAC time series | Sampling from a COVLMC | CAC example continued | What-if scenarios

Contexts | Definition | Extracting contexts from a time series in mixvlmc | Direct manipulation of nodes

Limitations of Variable Length Markov Chains | A typical example | Theoretical aspects | Variable memory | Conditional distributions | Beta-Context algorithm | COVLMC in practice | Estimation | Model choice | Diagnostics | Contexts

Theoretical aspects | High order Markov chains | Sparse models | Variable length Markov chain | VLMC estimation | VLMC in practice | Estimation | Model choice | Automatic model choice | Model choice representation | Diagnostics | Contexts

Introduction | VLMC case | COVLMC case | Initial values | In practice | VLMC | COVLMC | Metrics