Maciej Kuna - Publikacje - MOST Wiedzy

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Katalog Publikacji

Rok 2019
  • Systems, Environments, and Soliton Rate Equations: Toward Realistic Modeling
    Publikacja

    In order to solve a system of nonlinear rate equations one can try to use some soliton methods. The procedure involves three steps: (1) find a ‘Lax representation’ where all the kinetic variables are combined into a single matrix ρ, all the kinetic constants are encoded in a matrix H; (2) find a Darboux–Bäcklund dressing transformation for the Lax representation iρ˙=[H,f(ρ)], where f models a time-dependent environment; (3) find...

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Rok 2016
  • Crystallization of space: Space-time fractals from fractal arithmetic
    Publikacja

    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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  • Fourier transforms on Cantor sets: A study in non-Diophantine arithmetic and calculus
    Publikacja

    Fractals equipped with intrinsic arithmetic lead to a natural definition of differentiation, integration, and complex structure. Applying the formalism to the problem of a Fourier transform on fractals we show that the resulting transform has all the required basic properties. As an example we discuss a sawtooth signal on the ternary middle-third Cantor set. The formalism works also for fractals that are not self-similar.

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Rok 2014
  • Quantum structure in competing lizard communities
    Publikacja

    - ECOLOGICAL MODELLING - Rok 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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Rok 2013
Rok 2010
Rok 2003
Rok 2002

wyświetlono 1997 razy