Strong Convergence and a Game of Numbers
β Scribed by Kimmo Eriksson
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 262 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0195-6698
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
For a diffusion type process dX, = d w + a(t, X) dt and a sequence (f,) of nonnegative functions necessary and sufficient conditions to the f, are established which guarantee the as. convergence of fn(X,) dt to zero. This result is applied to derive simple necessary and sufficient conditions for the
Let G be a planar graph and let g(G) and Γ(G) be its girth and maximum degree, respectively. We show that G has an edge-partition into a forest and a subgraph H so that (i) -cycles (though it may contain 3-cycles). These results are applied to find the following upper bounds for the game coloring n