5 papers
Comparison principles and long time behavior for a diffusive Energy Balance Model with vertical resolution
Piermarco Cannarsa, Valerio Lucarini, Patrick Martinez +2
We study a two-layer one-dimensional energy balance model, which allows for vertical energy exchanges between a surface layer and the atmosphere, as well as meridional energy trans…
Geometric early warning indicator from stochastic separatrix structure in a random two-state ecosystem model
Yuzhu Shi, Larissa Serdukova, Yayun Zheng +2
Under-ice blooms in the Arctic can develop rapidly under conditions where conventional early warning signals based on critical slowing down fail due to strong noise or limited obse…
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…
Tipping points in complex ecological systems
Alan Hastings, Sergei Petrovskii, Valerio Lucarini +1
Tipping points are one of the hot topics in modern physics of complex systems. But what is a tipping point? A generic definition declares it as ``a state of the system where a smal…
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…