Weak Limit of the Sample Extremal Quotient
โ Scribed by H.M. Barakat
- Book ID
- 108521373
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 97 KB
- Volume
- 40
- Category
- Article
- ISSN
- 1369-1473
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The recurrence quotient is a real number associated to any symbolic sequence. In the case of Sturmian sequences, Morse and Hedlund proved that the smallest possible value is (5 + &)/2. We study here the structure of the set of values taken by the recurrence quotient for a Sturmian sequence.
We consider the semilinear elliptic problem where \* is a nonnegative parameter and g is a positive, nondecreasing, convex nonlinearity. There exists a value \*\* of the parameter which is extremal in terms of existence of solution. We study the linearization of the semilinear problem at the extrem