0-1 law for product measures in product of groups

• Autorzy: Wiśniewski A.
• Języki publikacji: EN

Abstrakty

EN

The 0-1 law for measurable subgroups and cosets in arbitrary product of Abelian groups with product measure is investigated.

Słowa kluczowe

EN

abelian group; line spaces

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2000
• Tom: Vol. 33, nr 4
• Strony: 901--908
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Wiśniewski A.

• Institute of Mathematics Szczecin University ul. Wielkopolska 15 70-451 Szczecin, Poland,

Bibliografia

• [1] T. Byczkowski, Zero-one laws for Gaussian measures on metric abelian groups, Studia Math. 69 (1980), 159-189.
• [2] P. R. Halmos, Measure Theory, Springer, New York-Berlin-Heidelberg, 1974.
• [3] J. Hoffmann-Jørgensen, Integrability of seminorms, the 0-1 law and the affine kernel for product measures, Studia Math. 61 (1977), 137-159.
• [4] B. Jamison and S. Orey, Subgroups and sequences of paths, Proc. Amer. Math. Soc. 24 (1970), 739-744.
• [5] A. Janssen, A Survey About Zero-One Laws for Probability Measures on Linear Spaces and Locally Compact Groups, in: Lecture Notes in Math 1064, Springer, Berlin, Heidelberg, New York, 1984, 119-138.
• [6] M. Loeve, Probability Theory I, 4th ed., Springer, New York-Heidelberg-Berlin, 1977.
• [7] J. Zinn, Zero-one laws for non-Gaussian measures, Proc. Amer. Math. Soc. 44 (1974), 179-185.