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- Karsten Chipeniuk, Mariah Hamel
- J. London Math. Society
- 2011

We provide a characterization of aggregation in the neoclassical growth model with aggregate shocks and uninsurable employment risk. The extent to which an economy aggregates can be determined by examining the (lack of) linearity with respect to wealth in the household’s savings function. We take advantage of this fact and separate the consumption-savings… (More)

Let A and B be finite subsets of C such that |B| = C|A|. We show the following variant of the sum product phenomenon: If |AB| < α|A| and α ! log |A|, then |kA+ lB|" |A|k|B|l. This is an application of a result of Evertse, Schlickewei, and Schmidt on linear equations with variables taking values in multiplicative groups of finite rank, in combination with an… (More)

X iv :0 90 2. 35 06 v1 [ m at h. C O ] 2 0 Fe b 20 09 Sums and Products of Distinct Sets and Distinct Elements in Fields of Characteristic 0 Karsten O. Chipeniuk 1 Department of Mathematics, University of British Columbia, 1984 Mathematics Road, Vancouver, B.C. V6T 1Z2 Canada Abstract Let A and B be finite subsets of an algebraically closed field K of… (More)

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