Negative asymptotic topological dimension, a new condensate, and their relation to the quantized Zipf law
Matematičeskie zametki, Tome 80 (2006) no. 6, pp. 856-863
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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).
@article{MZM_2006_80_6_a4,
author = {V. P. Maslov},
title = {Negative asymptotic topological dimension, a new condensate, and their relation to the quantized {Zipf} law},
journal = {Matemati\v{c}eskie zametki},
pages = {856--863},
publisher = {mathdoc},
volume = {80},
number = {6},
year = {2006},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2006_80_6_a4/}
}
TY - JOUR AU - V. P. Maslov TI - Negative asymptotic topological dimension, a new condensate, and their relation to the quantized Zipf law JO - Matematičeskie zametki PY - 2006 SP - 856 EP - 863 VL - 80 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2006_80_6_a4/ LA - ru ID - MZM_2006_80_6_a4 ER -
V. P. Maslov. Negative asymptotic topological dimension, a new condensate, and their relation to the quantized Zipf law. Matematičeskie zametki, Tome 80 (2006) no. 6, pp. 856-863. http://geodesic.mathdoc.fr/item/MZM_2006_80_6_a4/