RISK INTELLIGENCE LIBRARY
Foundational thinking. Executable models.
Coastlight papers and interactive models for understanding the enterprise as a connected risk system - its pathways, regimes, transition boundaries, recovery choices and economic value of transfer.
Published Risk Intelligence
01 PAPER · 01 INTERACTIVE MODEL
CORPORATE RISK TOPOLOGY
Risk Topology
Algebraic Topology for the Enterprise System
From individual Risk Traces to a governed map of enterprise regimes, pathways, tipping points and capital-efficient interventions. The paper connects Topological Data Analysis and Persistent Homology with sensitivity screening, causal dynamics, robust optimisation and Risk Financing.
- Corporate Risk Topology
- System transitions and phase-transition-like behaviour
- System Leverage and Safe Operating Envelope
- Risk Financing Frontier and Value of Transfer
Discussion paper. Enterprise examples use governed synthetic assumptions. Company-specific conclusions require validated company inputs, explicit assumptions and recorded decision thresholds.
FROM PAPER TO MODEL
The paper defines the architecture. The model makes it visible.
Map the state space
Generate plausible operational, financial, recovery and transfer states from one governed enterprise model.
Locate structural change
Identify persistent regimes, pathways, gaps and the boundaries at which the enterprise becomes a different kind of risk system.
Compare decisions
Test which combination of resilience, liquidity, retention and insurance creates the strongest economic and structural improvement.
INTERACTIVE MODEL
Explore Risk Topology
INTERACTIVE MODEL 01
RISK TOPOLOGY
Algebraic topology for the enterprise system.
Move one synthetic supplier-interruption model through its plausible state space. Observe the shift between contained disruption, recovery stress and liquidity pressure — then compare operational resilience with risk transfer.
CORPORATE RISK TOPOLOGY
SYNTHETIC SUPPLIER-RISK LANDSCAPE
SYSTEM TRANSITION
One operating day separates two risk regimes.
The current state is close to a transition boundary. A small improvement in buffer or substitute timing can move the enterprise into a more stable region.
ILLUSTRATIVE H₀ PERSISTENCE
ROBUST REGIME STRUCTURE
Longer bars represent connected risk regions that survive across a wider range of thresholds. This is a synthetic H₀ demonstration, not a company-specific conclusion.
TOPOLOGICAL STATE SPACE
PLAUSIBLE ENTERPRISE SCENARIO CLOUD
STRUCTURAL READOUT
Distinct operating regions remain visible.
Proximity means that two scenarios behave similarly across operations, liquidity and transfer. Connections reveal the local geometry of the state space.
Increase ε to connect scenarios that are farther apart. Structures that remain visible across a broad range of ε are the persistent features.
SYSTEM LEVERAGE
WHICH CHANGE MOVES THE SYSTEM MOST?
HIGHEST-LEVERAGE DECISION
Accelerate the substitute pathway.
An earlier substitute pathway produces the largest one-step reduction in the modelled enterprise stress index from the current state.
Together they move the enterprise into a contained-disruption regime.
RISK DIFF
REFERENCE STATE VS CURRENT STATE
CRITICAL PATH
DISRUPTION AND RECOVERY TIMELINE
RISK FINANCING FRONTIER
ANNUAL COMMITTED COST VS RESIDUAL ENTERPRISE STRESS
VALUE OF TRANSFER
The transfer layer is useful, but operations drive the regime change.
The modelled programme reduces retained contribution pressure. The larger structural improvement comes from shortening the period before partial recovery.
- Illustrative premium proxy
- €37,500
- Resilience cost proxy
- €0
- Potential transfer mapping
- €390,960
- Retained contribution gap
- €108,000