The d-Dimensional Gauss Transformation: Strong Convergence and Lyapunov Exponents

Autor: Hardcastle, D. M., Khanin, K.
Jazyk: angličtina
Rok vydání: 2002
Předmět:
Zdroj: Experiment. Math. 11, iss. 1 (2002), 119-129
Popis: We discuss a method of producing computer assisted proofs of almost everywhere strong convergence of the d-dimensional Gauss algorithm. This algorithm is equivalent to Brun's algorithm and to the modified Jacobi-Perron algorithm considered by Podsypanin and Schweiger. In this paper we focus on the reduction of the problem to a finite number of calculations. These calculations have been carried out for the three-dimensional algorithm and the results, which prove almost everywhere strong convergence, will be published separately.
Databáze: OpenAIRE