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Negative asymptotic topological dimension, a new condensate, and their relation to the quantized Zipf law |
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| Authors: | V P Maslov |
| Institution: | (1) M. V. Lomonosov Moscow State University, Russia |
| 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). |
| Keywords: | asymptotic topological dimension condensate Zipf ’ s law Plank’ s formula for black-body radiation rank distribution frequency dictionary |
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