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1

Structure of mixing and category of complete mixing for stochastic operators

100%

Iwanik A., Rębowski R.

Annales Polonici Mathematici

|

1991-1992

|

tom 56

|

nr 3

233-242

EN

Let T be a stochastic operator on a σ-finite standard measure space with an equivalent σ-finite infinite subinvariant measure λ. Then T possesses a natural "conservative deterministic factor" Φ which is the Frobenius-Perron operator of an invertible measure preserving transformation φ. Moreover, T is mixing ("sweeping") iff φ is a mixing transformation. Some stronger versions of mixing are also discussed. In particular, a notion of *L¹-s.o.t. mixing is introduced and characterized in terms of weak compactness. Finally, it is shown that most stochastic operators are completely mixing and that the same holds for convolution stochastic operators on l.c.a. groups.

2

Krengel-Lin decomposition for noncompact groups

100%

Bartoszek W., Rębowski R.

Colloquium Mathematicum

|

1996

|

tom 69

|

nr 1

87-94

3

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On invariant functions and ergodic measures of Markov operators on C(X)

79%

Rębowski R.

Colloquium Mathematicum

|

1987

|

tom 54

|

nr 1

77-81

4

On the lattice properties of invariant functions for Markov operators on C(X)

79%

Rębowski R.

Colloquium Mathematicum

|

1990

|

tom 59

|

nr 1

97-101

5

Most Markov operators on C(X) are quasi-compact and uniquely ergodic

79%

Rębowski R.

Colloquium Mathematicum

|

1987

|

tom 52

|

nr 2

277-280

6

On the lattice boundary of Markov operators

60%

Bartoszek W., Rębowski R.

Colloquium Mathematicum

|

1988

|

tom 55

|

nr 2

305-309

Ograniczanie wyników

5 Colloquium Mathematicum

1 Annales Polonici Mathematici

6 Rębowski R.

2 Bartoszek W.

1 Iwanik A.

1 1996

1 1992

1 1990

1 1988

2 1987

Structure of mixing and category of complete mixing for stochastic operators

Krengel-Lin decomposition for noncompact groups

On invariant functions and ergodic measures of Markov operators on C(X)

On the lattice properties of invariant functions for Markov operators on C(X)

Most Markov operators on C(X) are quasi-compact and uniquely ergodic

On the lattice boundary of Markov operators