Pointwise equidistribution and translates of measures on homogeneous spaces
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DOI: 10.1017/etds.2018.44
Abstract: Let $(X,\mathfrak{B},\unicode[STIX]{x1D707})$ be a Borel probability space. Let $T_{n}:X\rightarrow X$ be a sequence of continuous transformations on $X$ . Let $\unicode[STIX]{x1D708}$ be a probability measure on $X$ such that $(1/N)\sum _{n=1}^{N}(T_{n})_{\ast }\unicode[STIX]{x1D708}\rightarrow \unicode[STIX]{x1D707}$ in the… read more here.
Keywords: stix x1d708; homogeneous spaces; equidistribution; unicode stix ... See more keywords
A new mean ergodic theorem for tori and recurrences
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DOI: 10.1017/etds.2019.70
Abstract: Let $X$ be a finite-dimensional connected compact abelian group equipped with the normalized Haar measure $\unicode[STIX]{x1D707}$ . We obtain the following mean ergodic theorem over ‘thin’ phase sets. Fix $k\geq 1$ and, for every $n\geq… read more here.
Keywords: stix; ergodic theorem; mean ergodic; unicode stix ... See more keywords
SOME NEW LOWER BOUNDS FOR THE KIRCHHOFF INDEX OF A GRAPH
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DOI: 10.1017/s0004972717000831
Abstract: Let $G$ be a simple connected graph with $n$ vertices and $m$ edges and $d_{1}\geq d_{2}\geq \cdots \geq d_{n}>0$ its sequence of vertex degrees. If $\unicode[STIX]{x1D707}_{1}\geq \unicode[STIX]{x1D707}_{2}\geq \cdots \geq \unicode[STIX]{x1D707}_{n-1}>\unicode[STIX]{x1D707}_{n}=0$ are the Laplacian eigenvalues of… read more here.
Keywords: stix; unicode stix; index; stix x1d707 ... See more keywords
RANDOM SPARSE SAMPLING IN A GIBBS WEIGHTED TREE AND PHASE TRANSITIONS
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DOI: 10.1017/s1474748017000433
Abstract: Let $\unicode[STIX]{x1D707}$ be the projection on $[0,1]$ of a Gibbs measure on $\unicode[STIX]{x1D6F4}=\{0,1\}^{\mathbb{N}}$ (or more generally a Gibbs capacity) associated with a Hölder potential. The thermodynamic and multifractal properties of $\unicode[STIX]{x1D707}$ are well known to… read more here.
Keywords: stix; unicode stix; widetilde unicode; stix x1d707 ... See more keywords
Embeddings of Müntz Spaces in $L^{\infty }(\unicode[STIX]{x1D707})$
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DOI: 10.4153/cmb-2018-031-8
Abstract: Abstract In this paper, we discuss the properties of the embedding operator $i_{\unicode[STIX]{x1D707}}^{\unicode[STIX]{x1D6EC}}:M_{\unicode[STIX]{x1D6EC}}^{\infty }{\hookrightarrow}L^{\infty }(\unicode[STIX]{x1D707})$ , where $\unicode[STIX]{x1D707}$ is a positive Borel measure on $[0,1]$ and $M_{\unicode[STIX]{x1D6EC}}^{\infty }$ is a Müntz space. In particular, we… read more here.
Keywords: unicode stix; stix; infty unicode; stix x1d707 ... See more keywords
Infinitesimal Hilbertianity of Weighted Riemannian Manifolds
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DOI: 10.4153/s0008439519000328
Abstract: Abstract The main result of this paper is the following: any weighted Riemannian manifold $(M,g,\unicode[STIX]{x1D707})$, i.e., a Riemannian manifold $(M,g)$ endowed with a generic non-negative Radon measure $\unicode[STIX]{x1D707}$, is infinitesimally Hilbertian, which means that its… read more here.
Keywords: weighted riemannian; unicode stix; infinitesimal hilbertianity; stix x1d707 ... See more keywords