24 citations · 96 across the 13 of their papers we have counts for
15 papers
A Response Theory Probe for Learned Stochastic AI Simulators, Tested on Lorenz-63
João Böger, Simon Driscoll, Niccolò Zagli +2
Machine-learning emulators of chaotic and stochastic systems are usually validated on forecast skill and long-run statistics. Neither certifies that an emulator responds correctly…
Nonequilibrium ensemble averages using nonlinear response relations
Manuel Santos-Gutierrez, Valerio Lucarini, John Moroney +1
The transient time correlation function (TTCF) method is widely used in molecular fluids to compute non-equilibrium transport quantities, providing improved signal-to-noise ratios…
Markov matrix perturbations to optimize dynamical and entropy functionals
Manuel Santos Gutierrez, Niccolo Zagli, Giulia Carigi
An important problem in applied dynamical systems is to compute the external forcing that provokes the largest response of a desired observable quantity. For this, we investigate t…
A General Framework for Linking Free and Forced Fluctuations via Koopmanism
Valerio Lucarini, Manuel Santos Gutierrez, John Moroney +1
The link between forced and free fluctuations for nonequilibrium systems can be described via a generalized version of the celebrated fluctuation-dissipation theorem. The use of th…
Phase transitions for interacting particle systems on random graphs
Benedetta Bertoli, Grigorios A. Pavliotis, Niccolò Zagli
In this paper, we study weakly interacting diffusion processes on random graphs. Our main focus is on the properties of the mean-field limit and, in particular, on the nonuniquenes…
Kolmogorov Modes and Linear Response of Jump-Diffusion Models
Mickaël D. Chekroun, Niccolò Zagli, Valerio Lucarini
We present a generalized linear response theory for mixed jump-diffusion models -- combining Gaussian and Lévy noise interacting with nonlinear dynamics -- by deriving comprehensiv…
Bridging the Gap between Koopmanism and Response Theory: Using Natural Variability to Predict Forced Response
Niccolò Zagli, Matthew Colbrook, Valerio Lucarini +2
The fluctuation-dissipation theorem is a cornerstone result in statistical mechanics that can be used to translate the statistics of the free natural variability of a system into i…
Resolving the kinetics of an ensemble of muscle myosin motors via a temperature-dependent fitting procedure
Valentina Buonfiglio, Niccolò Zagli, Irene Pertici +3
A data fitting procedure is devised and thoroughly tested to provide self-consistent estimates of the relevant mechanokinetic parameters involved in a plausible scheme underpinning…
Response Theory Identifies Reaction Coordinates and Explains Critical Phenomena in Noisy Interacting Systems
Niccolò Zagli, Valerio Lucarini, Grigorios Pavliotis
We consider a class of nonequilibrium systems of interacting agents with pairwise interactions and quenched disorder in the dynamics featuring, in the thermodynamic limit, phase tr…
Dimension reduction of noisy interacting systems
Niccolò Zagli, Grigorios A. Pavliotis, Valerio Lucarini +1
We consider a class of models describing an ensemble of identical interacting agents subject to multiplicative noise. In the thermodynamic limit, these systems exhibit continuous a…
Spectroscopy of phase transitions for multiagent systems
Niccolo Zagli, Valerio Lucarini, Grigorios. A. Pavliotis
In this paper we study phase transitions for weakly interacting multiagent systems. By investigating the linear response of a system composed of a finite number of agents, we are a…
Response Theory and Phase Transitions for the Thermodynamic Limit of Interacting Identical Systems
Valerio Lucarini, G. A. Pavliotis, Niccolò Zagli
We study the response to perturbations in the thermodynamic limit of a network of coupled identical agents undergoing a stochastic evolution which, in general, describes non-equili…
Resilience for stochastic systems interacting via a quasi-degenerate network
Sara Nicoletti, Duccio Fanelli, Niccolò Zagli +6
A stochastic reaction-diffusion model is studied on a networked support. In each patch of the network two species are assumed to interact following a non-normal reaction scheme. Wh…
Non normal amplification of stochastic quasi-cycles
Sara Nicoletti, Niccolò Zagli, Duccio Fanelli +3
Stochastic quasi-cycles for a two species model of the excitatory-inhibitory type, arranged on a triangular loop, are studied. By increasing the strength of the inter-nodes couplin…
Noise driven neuromorphic tuned amplifier
Duccio Fanelli, Francesco Ginelli, Roberto Livi +2
Living systems implement and execute an extraordinary plethora of computational tasks. The inherent degree of large scale coordination emerges as a global property, from the intric…