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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2006 Volume 80, Issue 6, Pages 856–863 (Mi mzm3362)

This article is cited in 11 papers

Negative asymptotic topological dimension, a new condensate, and their relation to the quantized Zipf law

V. P. Maslov

M. V. Lomonosov Moscow State University, Faculty of Physics

Abstract: We introduce the notion of weight for the asymptotic topological dimension. Planck's formula for black-body radiation is refined. We introduce the notion of negative asymptotic topological dimension (of hole dimension). The condensate in the hole dimension is applied to the quantized Zipf law for frequency dictionaries (obtained earlier by the author).

UDC: 519

Received: 01.11.2006

DOI: 10.4213/mzm3362


 English version:
Mathematical Notes, 2006, 80:6, 806–813

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