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Limit theorems for stochastic growth models. II

Advances in Applied Probability, 1972
We consider d-dimensional stochastic processes which take values in (R+)d These processes generalize Galton-Watson branching processes, but the main assumption of branching processes, independence between particles, is dropped. Instead, we assume for some Here τ:(R+)d→R +, |x| = σ1d |x(i)|, A {x ∈(R+)d: |x| 1} and T: A→A.
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A New Proof of Uzawa's Steady-State Growth Theorem

Review of Economics and Statistics, 2008
C. I. Jones, Dean Scrimgeour
semanticscholar   +1 more source

The Growth Theorem and Schwarz Lemma on Infinite Dimensional Domains

Mathematische Nachrichten, 2002
Let D be a balanced convex domain in a sequentially complete locally convex space E. If f : D E is a convex biholomorphic mapping with f(0) = 0 and df(0) = id, we have an upper bound of the growth of f. Also let D1, D2 be bounded balanced pseudoconvex domains in complex normed spaces E1, E2 respectively.
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V.16 Gromov’s Polynomial-Growth Theorem

, 2010
T. Gowers, J. Barrow-Green, I. Leader
semanticscholar   +1 more source

Gromov's’ theorem on groups of polynomial growth

The aim of this project is to prove Gromov’s theorem on groups of polynomial growth. In order to do so, we will follow the original proof from Mikhail Gromov [Gro81], in which he introduced a convergence for metric spaces, called the Gromov-Hausdorff convergence, that is now widely used in geometry.
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Existence and uniqueness theorem for uncertain heat equation

Journal of Ambient Intelligence and Humanized Computing, 2017
Xiangfeng Yang, Yaodong Ni
semanticscholar   +1 more source

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