What question did this study set out to answer?

The research aims to establish a minimal axiomatic framework for understanding exponential persistence in open dynamical systems.

February 21, 2026Open Access

Structural Origins of Exponential Persistence I (SOEP)

Key Points

The research aims to establish a minimal axiomatic framework for understanding exponential persistence in open dynamical systems.
Developed an axiomatic framework to analyze structural factors
Investigated dynamics related to openness and metastability
Examined the relationship between constraint geometry and persistence
Explored large-deviation escape structures and stochastic forcing
Found that exponential persistence scaling is a consequence of structural dynamics
Demonstrated that stochastic forcing affects survival laws in open systems
Revealed quasi-stationary behavior and its relevance to persistence universality

Abstract

Structural Origins of Exponential Persistence I (SOEP) develops a minimal axiomatic framework showing that exponential persistence scaling arises as a structural consequence of openness, metastability, constraint geometry, and multiplicative survival aggregation in open dynamical systems. The work demonstrates that effective stochastic forcing, large-deviation escape structure, quasi-stationary behavior, and exponential survival laws emerge generically under these conditions, providing a structural foundation for a broader persistence universality theory. Related resourcesAdditional preprints, theoretical frameworks, and ongoing work by the author are available at:https://murad-ahmadov.github.io/

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