Andrea Schioppa (2015)
Analysis and Geometry in Metric Spaces
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Using an inverse system of metric graphs as in [3], we provide a simple example of a metric space X that admits Poincaré inequalities for a continuum of mutually singular measures.
di Prisco, Carlos Augusto (2006)
Boletín de la Asociación Matemática Venezolana
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Andreica, Mugurel Ionuţ, Ţăpuş, Nicolae (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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Nicola Gigli (2014)
Analysis and Geometry in Metric Spaces
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Hernando, Carmen, Mora, Mercè, Pelayo, Ignacio M., Seara, Carlos, Wood, David R. (2010)
The Electronic Journal of Combinatorics [electronic only]
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Duchi, E., Sulanke, R.A. (2004)
Séminaire Lotharingien de Combinatoire [electronic only]
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Miermont, Grégory (2008)
Electronic Communications in Probability [electronic only]
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Mikhail Ostrovskii (2014)
Analysis and Geometry in Metric Spaces
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We show that superreflexivity can be characterized in terms of bilipschitz embeddability of word hyperbolic groups.We compare characterizations of superrefiexivity in terms of diamond graphs and binary trees.We show that there exist sequences of series-parallel graphs of increasing topological complexitywhich admit uniformly bilipschitz embeddings into a Hilbert space, and thus do not characterize superrefiexivity.
Kager, Wouter, Levine, Lionel (2010)
The Electronic Journal of Combinatorics [electronic only]
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Datta, Basudeb (2005)
Beiträge zur Algebra und Geometrie
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West, Alan (2004)
Beiträge zur Algebra und Geometrie
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González, Samuel, González, Leida, Ordaz, Oscar (2009)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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