most citedLinear stability analysis for large dynamical systems on directed random graphs

29 citations · 29 across the 1 of their papers we have counts for

collaborators

6 papers

cond-mat.stat-mech202629 cited

Linear stability analysis for large dynamical systems on directed random graphs

Izaak Neri, Fernando Lucas Metz

We present a linear stability analysis of stationary states (or fixed points) in large dynamical systems defined on random directed graphs with a prescribed distribution of indegre…

cond-mat.dis-nn2025

Antagonistic interactions can stabilise fixed points in heterogeneous linear dynamical systems

Samuel Cure, Izaak Neri

We analyse the stability of large, linear dynamical systems of variables that interact through a fully connected random matrix and have inhomogeneous growth rates. We show that in…

cond-mat.dis-nn2025

Eigenvalue spectral tails and localization properties of asymmetric networks

Pietro Valigi, Joseph W. Baron, Izaak Neri +2

In contrast to the neatly bounded spectra of densely populated large random matrices, sparse random matrices often exhibit unbounded eigenvalue tails on the real and imaginary axis…

cond-mat.stat-mech2025

Estimating Entropy Production Rates with First-Passage Processes

Izaak Neri

We consider the problem of estimating the mean entropy production rate in a nonequilibrium process from the measurements of first-passage quantities associated with a single curren…

cond-mat.stat-mech2025

Universal tradeoff relation between speed, uncertainty, and dissipation in nonequilibrium stationary states

Izaak Neri

We derive universal thermodynamic inequalities that bound from below the moments of first-passage times of stochastic currents in nonequilibrium stationary states of Markov jump pr…

cond-mat.stat-mech2025

Dynamical systems on large networks with predator-prey interactions are stable and exhibit oscillations

Andrea Marcello Mambuca, Chiara Cammarota, Izaak Neri

We analyse the stability of linear dynamical systems defined on sparse, random graphs with predator-prey, competitive, and mutualistic interactions. These systems are aimed at mode…