A topological classification of locally constant potentials via zero-temperature measures
Sign Up to like & getrecommendations! Published in 2019 at "Transactions of the American Mathematical Society"
DOI: 10.1090/tran/7659
Abstract: We provide a topological classification of locally constant functions over subshifts of finite type via their zero-temperature measures. Our approach is to analyze the relationship between the distribution of the zero-temperature measures and the boundary… read more here.
Keywords: zero temperature; classification locally; temperature measures; topological classification ... See more keywords
Unique topological classification of complex reentrant atrial tachycardias enables optimal ablation strategy
Sign Up to like & getrecommendations! Published in 2023 at "Europace"
DOI: 10.1093/europace/euad122.078
Abstract: Type of funding sources: Public grant(s) – EU funding. Main funding source(s): ERC starting grant - SMARTHEART (Nele Vandersickel) B Reentry is a common underlying mechanism of atrial tachycardia (AT). Reentry loops form around anatomical… read more here.
Keywords: topological classification; ablation strategy; suppressed loops; ablation ... See more keywords
Topological classification of Chern-type insulators by means of the photonic Green function
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DOI: 10.1103/physrevb.97.115146
Abstract: The Chern topological numbers of a material system are traditionally written in terms of the Berry curvature which depends explicitly on the material band structure and on the Bloch eigenwaves. Here, we demonstrate that it… read more here.
Keywords: photonic green; green function; chern type; topological classification ... See more keywords
On Topological Classification of Gradient-like Flows on an $$n$$ -sphere in the Sense of Topological Conjugacy
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DOI: 10.1134/s1560354720060143
Abstract: In this paper, we study gradient-like flows without heteroclinic intersections on an $$n$$ -sphere up to topological conjugacy. We prove that such a flow is completely defined by a bicolor tree corresponding to a skeleton… read more here.
Keywords: like flows; topological classification; topological conjugacy; gradient ... See more keywords