Wyniki wyszukiwania

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Semigroup actions on tori and stationary measures on projective spaces

100%

Guivarc'h Y., Urban R.

Studia Mathematica

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2005

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tom 171

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nr 1

33-66

EN

Let Γ be a subsemigroup of G = GL(d,ℝ), d > 1. We assume that the action of Γ on $ℝ^{d}$ is strongly irreducible and that Γ contains a proximal and quasi-expanding element. We describe contraction properties of the dynamics of Γ on $ℝ^{d}$ at infinity. This amounts to the consideration of the action of Γ on some compact homogeneous spaces of G, which are extensions of the projective space $ℙ^{d-1}$. In the case where Γ is a subsemigroup of GL(d,ℝ) ∩ M(d,ℤ) and Γ has the above properties, we deduce that the Γ-orbits on $𝕋^{d} = ℝ^{d}/ℤ^{d}$ are finite or dense.

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Corrigendum to the paper "Semigroup actions on tori and stationary measures on projective spaces" (Studia Math. 171 (2005), 33-66)

100%

Guivarc'h Y., Urban R.

Studia Mathematica

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2007

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tom 183

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nr 2

195-196

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Marches en milieu aléatoire et mesures quasi-invariantes pour un système dynamique

100%

Conze J.-P., Yves Guivarc'h

Colloquium Mathematicum

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2000

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tom 84/85

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nr 2

457-480

EN

The invariant measures for a Markovian operator corresponding to a random walk, in a random stationary one-dimensional environment defined by a dynamical system, are quasi-invariant measures for the system. We discuss the construction of such measures in the general case and show unicity, under some assumptions, for a rotation on the circle.

Ograniczanie wyników

2 Studia Mathematica

1 Colloquium Mathematicum

2 Guivarc'h Y.

2 Urban R.

1 Conze J.-P.

1 Yves Guivarc'h

1 2007

1 2005

1 2000

Semigroup actions on tori and stationary measures on projective spaces

Corrigendum to the paper "Semigroup actions on tori and stationary measures on projective spaces" (Studia Math. 171 (2005), 33-66)

Marches en milieu aléatoire et mesures quasi-invariantes pour un système dynamique