9 papers
Stochastic Pharmacokinetic Escape: A Field-Theoretic Approach to Fluctuation-Induced Tumor Relapse
Jose de Jesus Bernal-Alvarado, David Delepine, Georges Delepine
Classical mathematical oncology employs deterministic mean-field models predicting that sufficiently high chemotherapy doses drive tumor density to zero. We show that this apparent…
Topological Signatures of Imperial Collapse and Fragmentation: Administrative Dissolution, Territorial Reorganization and Early-Warning Observables in the Han Dynasty Network (206~BCE\,--\,220~CE)
Jose de Jesus Bernal-Alvarado, David Delepine, Carlos Pinedo Guadarrama
We extend the persistent homology formalism done in references~\cite{paper1,paper2} to the Han Dynasty (--), testing whether the collapse thresho…
Structural Divergence of the Roman--Byzantine Trade Network, 0--1453\,CE: Persistent Homology, Topological Velocity, and Criticality Indicators of Imperial Collapse
Jose de Jesus Bernal-Alvarado, David Delepine, Carlos Pinedo Guadarrama
We extend the persistent homology analysis of~\paperone{} to the full Roman--Byzantine trade network (0--1453\,\textsc{ce}), using 2{,}599 nodes and 4{,}503 trimodal edges calibrat…
Macroscopic Signatures of Gauge-Mediated Contagion: Deriving Behavioral Shielding from Stochastic Field Theory
Jose de Jesus Bernal-Alvarado, David Delepine
We present a unified theoretical model relating stochastic microscopic epidemic dynamics with macroscopic non-linear population behavior. Utilizing the Doi-Peliti formalism, we mod…
Early warning indicators of spatial epidemics from gauge mediated contagion: a statistical mechanics approach applied to COVID19 in Germany
Jose de Jesus Bernal-Alvarado, David Delepine
We develop a statistical mechanics model for spatially extended epidemic dynamics in which contagion is mediated by an explicit environmental field rather than by instantaneous loc…
Fractional epidemics from quantum loops
Jose Jesus Bernal-Alvarado, David Delepine
Classical compartmental models of epidemiology rely on well-mixed, local interaction approximations that fail to capture the heavy-tailed burst dynamics and long-range spatial corr…