Parity properties and terminal points for lattice walks with steps of equal length |
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| Authors: | Krzysztof Ko?odziejczyk |
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| Institution: | Institute of Mathematics and Computer Science, Wroc?aw University of Technology, Wybrze?e Wyspiańskiego 27, 50-370 Wroc?aw, Poland |
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| Abstract: | A lattice walk with all steps having the same length d is called a d-walk. In this note we examine parity properties of closed d-walks in RN in relation to N and d. We also characterize real numbers d for which in R2 every lattice point can be the terminal point in a d-walk starting from the origin. |
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| Keywords: | Lattice point Lattice walk Closed lattice walk d-Walk Reduced walk |
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