Precise asymptotics for random matrices and random growth models
β Scribed by Zhong Gen Su
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2008
- Tongue
- English
- Weight
- 250 KB
- Volume
- 24
- Category
- Article
- ISSN
- 1439-7617
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π SIMILAR VOLUMES
-the positive d-dimensional lattice points with partial ordering p; let fX k ; kAZ d ΓΎ g be i.i.d. random variables with mean 0, and set S n ΒΌ P kpn X k ; nAZ d ΓΎ : We establish precise asymptotics for P n jnj r=pΓ2 PΓ°jS n jXejnj 1=p Γ; and for P n Γ°log jnjΓ d jnj PΓ°jS n jX e ffiffiffiffiffiffiffiff
In the mathematical modeling of population growth, and in particular of bacterial growth, parameters are either measured directly or determined by curve fitting. These parameters have large variability that depends on the experimental method and its inherent error, on differences in the actual popul