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Properties of systems with majority voting rules have been exhaustingly studied. In this work we focus on the randomized case-where the system is initialized by randomized initial set of seeds. Our main aim is to give an asymptotic estimate for sampling probability, such that the initial set of seeds is (is not) a dynamic monopoly almost surely. After(More)
The origin of altruistic behavior has long been a challenge for students of evolutionary biology. The populations with altruistic individuals do better than those without altruists; however, the altruists within a population do worse than the non-altruists and their prevalence in the population decreases due to individual selection. Under certain(More)
The origin of altruistic behavior, i.e. the behavior that is useful for a population or a species but goes at the expense of an altruistic individual, has long been a challenge for students of evolutionary biology. The populations with altruistic individuals thrive better than those without altruists; however, the altruists within a population thrive worse(More)
A recently developed Thouless-expansion-based diagonalization-free approach for improving the efficiency of self-consistent field (SCF) methods (Noga and Šimunek, J. Chem. Theory Comput. 2010, 6, 2706) has been adapted to the four-component relativistic scheme and implemented within the program package ReSpect. In addition to the implementation, the method(More)
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