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A Brief History of Generative Models for Power Law and Lognormal Distributions
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In the copying model, α ≈ 2 corresponds to near-pure preferential attachment (γ → 0) in a one-edge-per-arrival regime, where each impression or recommendation resolves into a single allocation of attention - predominantly steered toward already-popular creators, with a small net exploratory component.
“In the copying model (Mitzenmacher 2004; Easley, J. Kleinberg, et al. 2010; Chung et al. 2003), α ≈ 2 corresponds to near-pure preferential attachment ( γ → 0) in a one-edge-per-arrival regime, where each impression or recommendation resolves into a single allocation of attention - predominantly steered toward already-popular creators, with a small net exploratory component.”
From "Rich-Get-Richer"? Platform Attention and Earnings Inequality using Patreon Earnings Data (2025) · cites this paper as Mitzenmacher 2004
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Metadata
- Authors
- Mitzenmacher, M.
- Venue
- Internet Mathematics
- Publisher
- Internet Mathematics
- Published
- 2004-01
- Volume
- 1
- Issue
- 2
- Pages
- 226-251
- ISSN
- 1542-7951
- 1944-9488
- Cited by
- 1,188
- References
- 1
- Language
- en
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