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space a trasformation is conservative iff for every set A of positive charge and for every n, a1most every point of A is n-times ricurrent.

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(1)

- 6 -

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F,T (F),T (F), ... are pairwise disjoint) one can see that in a charge

space a trasformation is conservative iff for every set A of positive charge and for every n, a1most every point of A is n-times ricurrent.

The other aspects of Ergodic Theory for charges are being worked out by the Authors.

Accettato

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~~e 6avo~evoLe d{

R. Scozza6ava

R E F E R E N C E S

[lJ H. Poincaré,

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Acta Math.

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(1890),1-270

[2] C. Carathéodory,

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den

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Sitzungs berichte der Preussischen Akad der Wiss 32 (1919) 580-584.

[3] E. Hewitt K. A. Ross -

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I, Springer-Ver1ag (1963) [4] E. BARONE,K.P.S. BHASKARA RAO,

Nkh~e d{ p~bab~ 6~~mente ad~ve

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co~nue, ~nv~a~ p~ ~6o~maz~o~

(in print).

E. BARONE - ISTITUTO DI MATEMATICA - Via Arnesano - 73100 LECCE (lta1y)

K.P.S. BHASKARA RAO , INDIAN STATISTICAL INSTITUTE - CALCUTTA (INDIA)

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