Universal Exponential Barrier Sensitivity in Heterogeneous Complex Systems (EBS)
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| Natura: | Recurso digital |
| Lingua: | inglese |
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Zenodo
2026
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| _version_ | 1866901197989871616 |
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| author | Ahmadov, Murad |
| author_facet | Ahmadov, Murad |
| contents | <p>A statistical framework is introduced for persistence and transition dynamics in heterogeneous complex systems. The formulation proposes that event rates exhibit exponential sensitivity to effective stability barriers relative to fluctuation intensity. Macroscopic transition rates emerge from distributions of local barrier strengths through heterogeneous barrier escape processes. The framework predicts log-linear scaling between event rates and stability measures and explains the emergence of non-exponential macroscopic persistence behavior. The formulation connects barrier-controlled transition dynamics to rare-event stochastic processes and large-deviation structure.</p> <p><strong>Related resources</strong><br>Additional preprints, theoretical frameworks, and ongoing work by the author are available at:<br><a href="https://murad-ahmadov.github.io/" target="_new" rel="noopener">https://murad-ahmadov.github.io/</a></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18648253 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Universal Exponential Barrier Sensitivity in Heterogeneous Complex Systems (EBS) Ahmadov, Murad complex systems rare events large deviation theory stochastic processes persistence transition rates statistical physics barrier crossing escape rate theory heterogeneous systems metastability stochastic transitions nonequilibrium systems interdisciplinary physics systems science statistical modeling complex networks survival analysis <p>A statistical framework is introduced for persistence and transition dynamics in heterogeneous complex systems. The formulation proposes that event rates exhibit exponential sensitivity to effective stability barriers relative to fluctuation intensity. Macroscopic transition rates emerge from distributions of local barrier strengths through heterogeneous barrier escape processes. The framework predicts log-linear scaling between event rates and stability measures and explains the emergence of non-exponential macroscopic persistence behavior. The formulation connects barrier-controlled transition dynamics to rare-event stochastic processes and large-deviation structure.</p> <p><strong>Related resources</strong><br>Additional preprints, theoretical frameworks, and ongoing work by the author are available at:<br><a href="https://murad-ahmadov.github.io/" target="_new" rel="noopener">https://murad-ahmadov.github.io/</a></p> |
| title | Universal Exponential Barrier Sensitivity in Heterogeneous Complex Systems (EBS) |
| topic | complex systems rare events large deviation theory stochastic processes persistence transition rates statistical physics barrier crossing escape rate theory heterogeneous systems metastability stochastic transitions nonequilibrium systems interdisciplinary physics systems science statistical modeling complex networks survival analysis |
| url | https://doi.org/10.5281/zenodo.18648253 |