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Core-periphery dynamics in market-conditioned financial networks: A conditional p-threshold mutual information
Kundan Mukhia1, Imran Ansari2, Salam Rabindrajit Luwang1
1Department of Physics, National Institute of Technology Sikkim, Sikkim 737139, India.
Chaos (Woodbury, N.Y.)
|August 3, 2026
Summary
The COVID-19 crash triggered significant financial market reorganization across the US, Japan, Australia, and India. Networks became more integrated yet fragile, showing persistent structural effects post-crisis.
Area of Science:
- Financial economics
- Network science
- Complexity science
Background:
- The COVID-19 pandemic caused unprecedented global economic disruption.
- Understanding financial market dynamics during crises is crucial for stability.
- Existing network frameworks may not fully capture nonlinear dependencies during extreme events.
Purpose of the Study:
- To investigate financial market structure reorganization during the COVID-19 crash.
- To analyze nonlinear dependencies among stocks in four major economies.
- To assess systemic vulnerability and shock transmission mechanisms.
Main Methods:
- Utilized a conditional p-threshold mutual information (MI) based Minimum Spanning Tree (MST) network framework.
- Identified crash periods using Hellinger distance and Hilbert spectrum analysis.
- Applied permutation-based significance testing to validate stock-level dependencies.
Main Results:
- Market networks became more integrated with shorter path lengths and higher centrality during the crash.
- Declining core concentration and increasing periphery fragility were observed, facilitating shock transmission.
- Post-crash recovery was partial and non-uniform, with evidence of persistent structural effects and increased aftershock frequency.
Conclusions:
- The conditional p-threshold MI framework effectively captures nonlinear interdependencies and systemic vulnerability.
- Financial markets exhibit common crisis-related dynamics and structural reorganization during severe downturns.
- The study highlights persistent structural effects and increased volatility post-crisis.
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