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Existence of a Lorenz renormalization fixed point of an arbitrary critical order
Lorenz renormalization fixed point arbitrary critical order Dynamical Systems
2011/9/19
Abstract: We present a proof of the existence of a renormalization fixed point for Lorenz maps of the simplest non-unimodal combinatorial type ({0,1},{1,0,0}), and with a critical point of arbitrary o...
Early warning signals for critical transitions: A generalized modeling approach
critical transitions Populations and Evolution Dynamical Systems
2011/10/9
Critical transitions are sudden, often irreversible, changes that can occur in a large variety of complex systems. Signals that warn of critical transitions are highly desirable, but their constructio...
Survival of near-critical branching Brownian motion
ival near-critical branching Brownian motion
2010/11/29
Consider a system of particles performing branching Brownian motion with negative
drift μ = √2 − " and killed upon hitting zero. Initially there is one particle at x > 0.
Kesten [12] showed th...