Wyniki wyszukiwania

1

Weak* convergence of iterates of Lasota-Mackey-Tyrcha operators

100%

Bartoszek W.

Colloquium Mathematicum

|

2001

|

tom 88

|

nr 1

29-38

2

Convergence of iterates of Lasota-Mackey-Tyrcha operators

100%

Bartoszek W.

Annales Polonici Mathematici

|

1996

|

tom 63

|

nr 3

281-292

EN

We provide sufficient and necessary conditions for asymptotic periodicity of iterates of strong Feller stochastic operators.

3

On asymptotic cyclicity of doubly stochastic operators

100%

Bartoszek W.

Annales Polonici Mathematici

|

1999

|

tom 72

|

nr 2

145-152

EN

It is proved that a doubly stochastic operator P is weakly asymptotically cyclic if it almost overlaps supports. If moreover P is Frobenius-Perron or Harris then it is strongly asymptotically cyclic.

4

On concentrated probabilities

100%

Bartoszek W.

Annales Polonici Mathematici

|

1995

|

tom 61

|

nr 1

25-38

EN

Let G be a locally compact Polish group with an invariant metric. We provide sufficient and necessary conditions for the existence of a compact set A ⊆ G and a sequence $g_n ∈ G$ such that $μ^{∗n}(g_n A) ≡ 1$ for all n. It is noticed that such measures μ form a meager subset of all probabilities on G in the weak measure topology. If for some k the convolution power $μ^{∗k}$ has nontrivial absolutely continuous component then a similar characterization is obtained for any locally compact, σ-compact, unimodular, Hausdorff topological group G.

5

On iterates of strong Feller operators on ordered phase spaces

100%

Bartoszek W.

Colloquium Mathematicum

|

2004

|

tom 101

|

nr 1

121-134

EN

Let (X,d) be a metric space where all closed balls are compact, with a fixed σ-finite Borel measure μ. Assume further that X is endowed with a linear order ⪯. Given a Markov (regular) operator P: L¹(μ) → L¹(μ) we discuss the asymptotic behaviour of the iterates Pⁿ. The paper deals with operators P which are Feller and such that the μ-absolutely continuous parts of the transition probabilities ${P(x,·)}_{x∈X}$ are continuous with respect to x. Under some concentration assumptions on the asymptotic transition probabilities $P^{m}(y,·)$, which also satisfy inf(supp Pf₁) ⪯ inf(supp Pf₂) whenever inf(supp f₁) ⪯ inf(supp f₂), we prove that the iterates Pⁿ converge in the weak* operator topology.

6

Krengel-Lin decomposition for noncompact groups

64%

Bartoszek W., Rębowski R.

Colloquium Mathematicum

|

1996

|

tom 69

|

nr 1

87-94

7

Strong mixing Markov semigroups on C₁ are meager

64%

Bartoszek W., Kuna B.

Colloquium Mathematicum

|

2006

|

tom 105

|

nr 2

311-317

EN

We show that the set of those Markov semigroups on the Schatten class 𝓒₁ such that in the strong operator topology $lim_{t→ ∞}T(t) = Q$, where Q is a one-dimensional projection, form a meager subset of all Markov semigroups.

8

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Asymptotic properties of the iterates of stochastic operators on (AL) Banach lattices

63%

Bartoszek W.

Annales Polonici Mathematici

|

1990-1991

|

tom 52

|

nr 2

165-173

9

On a theorem of H. P. Lotz on quasi-compactness of Markov operators

51%

Bartoszek W.

Colloquium Mathematicum

|

1987

|

tom 52

|

nr 2

281-284

10

Asymptotic periodicity of the iterates of positive contractions on Banach lattices

51%

Bartoszek W.

Studia Mathematica

|

1988

|

tom 91

|

nr 3

179-188

11

"Zero-two'' law for conservative Markov operators

44%

Bartoszek W.

Colloquium Mathematicum

|

1987

|

tom 52

|

nr 1

99-103

12

On the lattice boundary of Markov operators

38%

Bartoszek W., Rębowski R.

Colloquium Mathematicum

|

1988

|

tom 55

|

nr 2

305-309

Ograniczanie wyników

7 Colloquium Mathematicum

4 Annales Polonici Mathematici

1 Studia Mathematica

12 Bartoszek W.

2 Rębowski R.

1 Kuna B.

1 2006

1 2004

1 2001

1 1999

2 1996

1 1995

1 1990

2 1988

2 1987

Weak* convergence of iterates of Lasota-Mackey-Tyrcha operators

Convergence of iterates of Lasota-Mackey-Tyrcha operators

On asymptotic cyclicity of doubly stochastic operators

On concentrated probabilities

On iterates of strong Feller operators on ordered phase spaces

Krengel-Lin decomposition for noncompact groups

Strong mixing Markov semigroups on C₁ are meager

Asymptotic properties of the iterates of stochastic operators on (AL) Banach lattices

On a theorem of H. P. Lotz on quasi-compactness of Markov operators

Asymptotic periodicity of the iterates of positive contractions on Banach lattices

"Zero-two'' law for conservative Markov operators

On the lattice boundary of Markov operators