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Displaying 141 – 160 of 246

Pointwise limits for sequences of orbital integrals

Claire Anantharaman-Delaroche (2010)

Colloquium Mathematicae

In 1967, Ross and Stromberg published a theorem about pointwise limits of orbital integrals for the left action of a locally compact group G on (G,ρ), where ρ is the right Haar measure. We study the same kind of problem, but more generally for left actions of G on any measure space (X,μ), which leave the σ-finite measure μ relatively invariant, in the sense that sμ = Δ(s)μ for every s ∈ G, where Δ is the modular function of G. As a consequence, we also obtain a generalization of a theorem of Civin...

Pointwise representation method.

Osipov, Vladimir Mihajlovich, Osipov, Vladimir Vladimirovich (2005)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Pointwise theorems for amenable groups.

Lindenstrauss, Elon (1999)

Electronic Research Announcements of the American Mathematical Society [electronic only]

Poisson cohomology and canonical homology of Poisson manifolds

Marisa Fernández, Raúl Ibáñez, Manuel de León (1996)

Archivum Mathematicum

In this paper we present recent results concerning the Lichnerowicz-Poisson cohomology and the canonical homology of Poisson manifolds.

Poisson cohomology of regular Poisson manifolds

Ping Xu (1992)

Annales de l'institut Fourier

The main purpose of this paper is to suggest a method of computing Poisson cohomology of a Poisson manifold by means of symplectic groupoids. The key idea is to convert the problem of computing Poisson cohomology to that of computing de Rham cohomology of certain manifolds. In particular, we shall derive an explicit formula for the Poisson cohomology of a regular Poisson manifold where the symplectic foliation is a trivial fibration.

Poisson geometry of flat connections for SU(2)-bundles on surfaces.

Johannes Huebschmann (1996)

Mathematische Zeitschrift

Poisson Lie groups and their relations to quantum groups

Janusz Grabowski (1995)

Banach Center Publications

The notion of Poisson Lie group (sometimes called Poisson Drinfel'd group) was first introduced by Drinfel'd [1] and studied by Semenov-Tian-Shansky [7] to understand the Hamiltonian structure of the group of dressing transformations of a completely integrable system. The Poisson Lie groups play an important role in the mathematical theories of quantization and in nonlinear integrable equations. The aim of our lecture is to point out the naturality of this notion and to present basic facts about...

Poisson structures on $ℝ^{2 N}$ having only two symplectic leaves: the origin and the rest

S. Zakrzewski (2000)

Banach Center Publications

Examples of Poisson structures with isolated non-symplectic points are constructed from classical r-matrices.

Poisson structures on certain moduli spaces for bundles on a surface

Johannes Huebschmann (1995)

Annales de l'institut Fourier

Let $Σ$ be a closed surface, $G$ a compact Lie group, with Lie algebra $g$ , and $ξ : P \to Σ$ a principal $G$ -bundle. In earlier work we have shown that the moduli space $N (ξ)$ of central Yang-Mills connections, with reference to appropriate additional data, is stratified by smooth symplectic manifolds and that the holonomy yields a homeomorphism from $N (ξ)$ onto a certain representation space ${Rep}_{ξ} (Γ, G)$ , in fact a diffeomorphism, with reference to suitable smooth structures $C^{\infty} (N (ξ))$ and $C^{\infty} ({Rep}_{ξ} (Γ, G))$ , where $Γ$ denotes the universal central extension of...

Poisson suspensions of compactly regenerative transformations

Roland Zweimüller (2008)

Colloquium Mathematicae

For infinite measure preserving transformations with a compact regeneration property we establish a central limit theorem for visits to good sets of finite measure by points from Poissonian ensembles. This extends classical results about (noninteracting) infinite particle systems driven by Markov chains to the realm of systems driven by weakly dependent processes generated by certain measure preserving transformations.

Poisson thinning by monotone factors.

Ball, Karen (2005)

Electronic Communications in Probability [electronic only]

Poisson-Nijenhuis structures

Yvette Kosmann-Schwarzbach, Franco Magri (1990)

Annales de l'I.H.P. Physique théorique

Polymorphisms and linearization of nonlinear polynomials.

Erkama, Timo (1997)

Annales Academiae Scientiarum Fennicae. Mathematica

Polynômes quadratiques et attracteur de Hénon

Jean-Christophe Yoccoz (1990/1991)

Séminaire Bourbaki

Polynomial cycles in certain local domains

T. Pezda (1994)

Acta Arithmetica

1. Let R be a domain and f ∈ R[X] a polynomial. A k-tuple $x ₀, x ₁, . . ., x_{k - 1}$ of distinct elements of R is called a cycle of f if $f (x_{i}) = x_{i + 1}$ for i=0,1,...,k-2 and $f (x_{k - 1}) = x ₀$ . The number k is called the length of the cycle. A tuple is a cycle in R if it is a cycle for some f ∈ R[X]. It has been shown in [1] that if R is the ring of all algebraic integers in a finite extension K of the rationals, then the possible lengths of cycles of R-polynomials are bounded by the number $7^{7 \cdot 2^{N}}$ , depending only on the degree N of K. In this note we consider...

Polynomial decay of correlations for a class of smooth flows on the two torus

Bassam Fayad (2001)

Bulletin de la Société Mathématique de France

Kočergin introduced in 1975 a class of smooth flows on the two torus that are mixing. When these flows have one fixed point, they can be viewed as special flows over an irrational rotation of the circle, with a ceiling function having a power-like singularity. Under a Diophantine condition on the rotation’s angle, we prove that the special flows actually have a $t^{- η}$ -speed of mixing, for some $η > 0$ .

Currently displaying 141 – 160 of 246

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