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Emergence of unstable modes in an expanding domain for energy-conserving wave equations
Simulated energy wave equation the nonlinear schrodinger equation the coupling
2014/12/25
Motivated by recent work on instabilities in expanding domains in reaction–diffusion settings, we propose an analog of such mechanisms in energy-conserving wave equations. In particular, we consider a...
Continuous-time trading and the emergence of volatility
Continuous-time trading emergence of volatility
2009/3/20
This note continues investigation of randomness-type properties emerging in idealized financial markets with continuous price processes. It is shown, without making any probabilistic assumptions, that...
Emergence and resilience of cooperation in the spatial Prisoner's Dilemma via a reward mechanism
Emergence of cooperation Evolutionary game theory
2010/4/29
We study the problem of the emergence of cooperation in the spatial Prisoner’s Dilemma.
The pioneering work by Nowak and May (1992) showed that large initial populations of
cooperators can survive a...