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Creators/Authors contains: "Olson, Connor"

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  1. ; ; ; (, Transactions of the American Mathematical Society)
    We construct an ancient solution to planar curve shortening. The solution is at all times compact and embedded. For t ≪<#comment/> 0 t\ll 0 it is approximated by the rotating Yin-Yang soliton, truncated at a finite angle α<#comment/> ( t ) = −<#comment/> t \alpha (t) = -t , and closed off by a small copy of the Grim Reaper translating soliton. 
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  2. ; ; (, Chaos: An Interdisciplinary Journal of Nonlinear Science)
    We study a dynamical system defined by a repeated game on a 1D lattice, in which the players keep track of their gross payoffs over time in a bank. Strategy updates are governed by a Boltzmann distribution, which depends on the neighborhood bank values associated with each strategy, relative to a temperature scale, which defines the random fluctuations. Players with higher bank values are, thus, less likely to change strategy than players with a lower bank value. For a parameterized rock–paper–scissors game, we derive a condition under which communities of a given strategy form with either fixed or drifting boundaries. We show the effect of a temperature increase on the underlying system and identify surprising properties of this model through numerical simulations. 
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  3. ; ; ; ; (, Mathematische Annalen)
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