This study explored the claim that invariant acoustic properties corresponding to phonetic features generalize across languages. Experiment I examined whether the same invariant properties can characterize diffuse stop consonants in Malayalam, French, and English. Results showed that, contrary to theoretical predictions, we could not distinguish labials from dentals, nor could we classify denta...

We study the multiplicity modulo 2 of real analytic hypersurfaces. We prove that, under some assumptions on the singularity, the multiplicity modulo 2 is preserved by subanalytic bi-Lipschitz homeomorphisms of R. In the first part of the paper, we find a subset of the tangent cone which determines the multiplicity mod 2 and prove that this subset of S is preserved by the antipodal map. The stud...

Due to Čencov’s theorem, there exists a unique family of invariant symmetric (0, 2)-tensor fields on the space positive probability measures set n-points indexed by $$n\in \mathbb {N}$$ under Markov embeddings. We deform embeddings keeping sufficiency, and prove existence uniqueness families

A notion of metric invariance entropy is constructed with respect to a conditionally invariant measure for control systems in discrete time. It is shown that the metric invariance entropy is invariant under conjugacies, the power rule holds, and the (topological) invariance entropy provides an upper bound. November 20, 2014 Key words. invariance entropy, conditionally invariant measures, quasi-...