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Sequential narrative binding by hippocampal CA2/3 sustains lifespan episodic detail retrieval
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On Invariant Means which are Not Inverse Invariant
Canadian Journal of Mathematics, 1968In (1) R. G. Douglas says: “For a finite abelian group there exists a unique invariant mean which must be inversion invariant. For an infinite torsion abelian group it is not clear what the situation is.” It is not hard to see that if every element of an abelian group G is of order 2, then every invariant mean on G is also inversion invariant (see 1 ...
Rajagopalan, M., Witz, K. G.
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Journal of the London Mathematical Society, 1988
Adapting a technique used by \textit{C. Chou} [Trans. Am. Math. Soc. 273, 207-229 (1982; Zbl 0507.22007)] which consists in embedding a large set into the set of all invariant means, the author establishes the following theorem: If G is a locally compact noncompact amenable group, then the set of all topological invariant, inversion invariant means on \
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Adapting a technique used by \textit{C. Chou} [Trans. Am. Math. Soc. 273, 207-229 (1982; Zbl 0507.22007)] which consists in embedding a large set into the set of all invariant means, the author establishes the following theorem: If G is a locally compact noncompact amenable group, then the set of all topological invariant, inversion invariant means on \
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On the Invariance of a Mean Voter Theorem
Journal of Economic Theory, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ma, Barry K., Weiss, Jeffrey H.
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1967
Doctor of Education (EdD) ; Mathematics ; University of Michigan, Horace H. Rackham School of Graduate Studies ; http://deepblue.lib.umich.edu/bitstream/2027.42/185099/2/6807650 ...
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Doctor of Education (EdD) ; Mathematics ; University of Michigan, Horace H. Rackham School of Graduate Studies ; http://deepblue.lib.umich.edu/bitstream/2027.42/185099/2/6807650 ...
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Invariant means on CHART groups
2015Summary: The purpose of this paper is to give a stream-lined proof of the existence and uniqueness of a right-invariant mean on a CHART group. A CHART group is a slight generalisation of a compact topological group. The existence of an invariant mean on a CHART group can be used to prove Furstenberg's fixed point theorem.
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Expanding graphs and invariant means
Combinatorica, 1997The paper studies explicit constructions of expander families, the Cayley graphs determined by a group and a generator set. These constructions are far from being trivial, see, for example, \textit{A. Lubotzky, R. Phillips} and \textit{P. Sarnak} [Combinatorica 8, No. 3, 261-277 (1988; Zbl 0661.05035)] and \textit{G. A. Margulis} [Probl. Inf.
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