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The computational complexity of recognising embeddings in finitely presented groups
Finitely presented groups embeddings Kleene’s arithmetical hierarchy decidability universal finitely presented group
2011/8/29
Abstract: We extend a result by Lempp that recognising torsion-freeness for finitely presented groups is $\Pi^{0}_{2}$-complete; we show that the problem of recognising embeddings of finitely presente...
On the manifold structure of the set of unparameterized embeddings with low regularity
manifold structure unparameterized embeddings
2010/11/24
Given manifolds $M$ and $N$, with $M$ compact, we study the geometrical structure of the space of embeddings of $M$ into $N$, having less regularity than $\mathcal C^\infty$, quotiented by the group o...
L-cumulants, L-cumulant embeddings and algebraic statistics
L-cumulant embeddings algebraic statistics
2010/11/12
In this paper we generalize the combinatorial definition of cumulants. Obtained in this way L-cumulants keep all the desired properties of the classical cumulants like semi-invariance and vanishing f...