On the generalized Avez method

• Autorzy: Antoni Leon Dawidowicz
• Języki publikacji: EN

Abstrakty

EN

A generalization of the Avez method of construction of an invariant measure is presented.

Słowa kluczowe

EN

Avez measure; invariant measure

Kategorie tematyczne

• 28D05: Measure-preserving transformations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1992
• Tom: 57
• Numer: 3
• Strony: 209-218

Daty

wydano

1992

otrzymano

1989-08-10

poprawiono

1991-02-15

Twórcy

autor

Antoni Leon Dawidowicz

• Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

Bibliografia

• [1] A. Avez, Propriétés ergodiques des endomorphismes dilatants des variétes compacts, C. R. Acad. Sci. Paris Sér. A 266 (1968), 610-612.
• [2] S. Banach, Théorie des opérations linéaires, Warszawa 1932.
• [3] A. L. Dawidowicz, On the existence of an invariant measure for the dynamical system generated by partial differential equation, Ann. Polon. Math. 41 (1983), 129-137.
• [4] A. L. Dawidowicz, Invariant measures supported on compact sets, Univ. Iagell. Acta Math. 25 (1985), 277-283.
• [5] A. L. Dawidowicz, On the positivity of an invariant measure on open non-empty sets, Ann. Polon. Math. 50 (1989), 185-190.
• [6] A. L. Dawidowicz, On the lifting of invariant measure, Ann. Polon. Math. 51 (1990), 137-139.
• [7] U. Krengel, Ergodic Theorems, W. de Gruyter, Berlin 1985.
• [8] A. Lasota, Invariant measure and a linear model of turbulence, Rend. Sem. Mat. Univ. Padova 61 (1979), 39-48.
• [9] A. Lasota and G. Pianigiani, Invariant measures on topological spaces, Boll. Un. Mat. Ital. (5) 15-B (1977), 592-603.
• [10] F. Schweiger, Some remarks on ergodicity and invariant measures, Michigan Math. J. 22 (1975), 181-187.
• [11] F. Schweiger, tan x is ergodic, Proc. Amer. Math. Soc. 71 (1978), 54-56.