Maciej Kuna - Science profile - MOST Wiedzy

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  • Quantum structure in competing lizard communities

    - ECOLOGICAL MODELLING - 2014

    Almost two decades of research on applications of the mathematical formalism of quantum theory as a modeling tool in domains different from the micro-world has given rise to many successful applications in situations related to human behavior and thought, more specifically in cognitive processes of decision-making and the ways concepts are combined into sentences. In this article, we extend this approach to animal behavior, showing...

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  • Crystallization of space: Space-time fractals from fractal arithmetic

    Fractals such as the Cantor set can be equipped with intrinsic arithmetic operations (addition, subtraction, multiplication, division) that map the fractal into itself. The arithmetics allows one to define calculus and algebra intrinsic to the fractal in question, and one can formulate classical and quantum physics within the fractal set. In particular, fractals in space-time can be generated by means of homogeneous spaces associated...

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  • Systems, environments, and soliton rate equations: A non-Kolmogorovian framework for population dynamics

    - ECOLOGICAL MODELLING - 2013

    Soliton rate equations are based on non-Kolmogorovian models of probability and naturally include autocatalytic processes. The formalism is not widely known but has great unexplored potential for applications to systems interacting with environments. Beginning with links of contextuality to non- Kolmogorovity we introduce the general formalism of soliton rate equations and work out explicit examples of subsystems interacting with...

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Obtained scientific degrees/titles

  • 1994-11-17

    Obtained science degree

    dr
    Uniwersytet Gdański Wydział Matematyki i Fizyki

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