scholarly journals Alternative Life‐History Pathways and the Elasticity of Stochastic Matrix Models

2005 ◽  
Vol 165 (2) ◽  
pp. E27-E35 ◽  
Author(s):  
David Claessen
1990 ◽  
Vol 59 ◽  
pp. 171-181 ◽  
Author(s):  
PO Ang ◽  
RE De Wreede

2021 ◽  
Vol 11 (6) ◽  
Author(s):  
Anton Kutlin ◽  
Ivan Khaymovich

We study the effects of partial correlations in kinetic hopping terms of long-range disordered random matrix models on their localization properties. We consider a set of models interpolating between fully-localized Richardson’s model and the celebrated Rosenzweig-Porter model (with implemented translation-invariant symmetry). In order to do this, we propose the energy-stratified spectral structure of the hopping term allowing one to decrease the range of correlations gradually. We show both analytically and numerically that any deviation from the completely correlated case leads to the emergent non-ergodic delocalization in the system unlike the predictions of localization of cooperative shielding. In order to describe the models with correlated kinetic terms, we develop the generalization of the Dyson Brownian motion and cavity approaches basing on stochastic matrix process with independent rank-one matrix increments and examine its applicability to the above set of models.


2007 ◽  
Vol 201 (2) ◽  
pp. 127-143 ◽  
Author(s):  
Emmanuelle Sebert-Cuvillier ◽  
Frédéric Paccaut ◽  
Olivier Chabrerie ◽  
Patrick Endels ◽  
Olivier Goubet ◽  
...  

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