Partitions and Branching Processes

• Autorzy: Arkadiusz Maciuk , Antoni Smoluk
• Języki publikacji: EN

Abstrakty

EN

A partition, i.e. a division of a finite set into nonempty subsets, is a simple and essential concept of quantitatively understanding the reality. A partition of a number n is a decreasing sequence of natural numbers whose sum equals n. Greater numbers are seen only in terms of the union of partitions. The most important processes such as stochastic processes of branching processes can be expressed most simply using the language of partitions. By means of partitions any Sacała's line defines a wide class of related quasibranching processes which are more general than Markov processes. Didactically such an approach is extremely useful.(original abstract)

Słowa kluczowe

EN

Set theory; Mathematics; Mathematical economics

PL

Teoria zbiorów; Matematyka; Ekonomia matematyczna

• Czasopismo: Mathematical Economics
• Rocznik: 2015
• Numer: nr 11 (18)
• Strony: 69--76

Twórcy

autor

Arkadiusz Maciuk

• Wrocław University of Economics, Poland

autor

Antoni Smoluk

• Wrocław University of Economics, Poland

Bibliografia

• Drabik E. (2007). Wykorzystanie ciągu Ulama do analizy fal giełdowych [An application of the Ulam sequence to analysis of the stock exchange waves]. Ekonomika i Organizacja Gospodarki Żywnościowej 69. Pp. 77-87.
• Florek J., Juzwiszyn J., Misztal A., Sacała J. (2009). O ciągu Ulama, równaniu Pella i rotacjach rynku finansowego [On the Ulam sequence, Pell equation and financial market rotations]. Didactics of Mathematics 5-6 (9-10). Pp. 5-18.
• Łyko J., Smoluk A. (2000). Problem of group choice and the 2/3 rule. Ekonomia Matematyczna 4. Wydawnictwo AE we Wrocławiu.
• Narkiewicz W. (1977). Teoria liczb [Number theory]. PWN.
• Smoluk A. (2000). Standardy, normy i algebra wielkości mianowanych [Standards, norms and algebra of quantities with dimensions]. In: A. Smoluk [ed.]. Elementy metrologii ekonomicznej [Elements of economic metrology]. Wydawnictwo AE we Wrocławiu. Pp. 17-42.

Identyfikatory

DOI

10.15611/me.2015.11.06