Abstract A d -dimensional framework is a pair $(G,p)$ , where $G=(V,E)$ graph and p map from V to $\mathbb {R}^d$ . The length of an edge $uv\in E$ in the distance between $p(u)$ $p(v)$ said be globally rigid if G its lengths uniquely determine up congruence. called every generic rigid. In this paper, we consider problem reconstructing set arising framework. Roughly speaking, strongly reconstru...

Abstract We study infinite systems of globally coupled Anosov diffeomorphisms with weak coupling strength. Using transfer operators acting on anisotropic Banach spaces, we prove that the system admits a unique physical invariant state, $$h_\varepsilon $$ h ε . Moreover,...