832 citations
- Max Planck Institute for MathematicsDE454 papers
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119 papers · 1 filter
Incompatibility probability of random quantum measurements
Lin Zhang, Hua Xiang, Xianqing Li-Jost +1
Incompatibility of quantum measurements is of fundamental importance in quantum mechanics. It is closely related to many nonclassical phenomena such as Bell nonlocality, quantum un…
Forman-Ricci curvature and Persistent homology of unweighted complex networks
Indrava Roy, Sudharsan Vijayaraghavan, Sarath Jyotsna Ramaia +1
We present the application of topological data analysis (TDA) to study unweighted complex networks via their persistent homology. By endowing appropriate weights that capture the i…
Short-time existence of the -Dirac-harmonic map flow and applications
Jürgen Jost, Jingyong Zhu
In this paper, we discuss the general existence theory of Dirac-harmonic maps from closed surfaces via the heat flow for -Dirac-harmonic maps and blow-up analysis. More precisel…
Twenty-Seven Questions about the Cubic Surface
Kristian Ranestad, Bernd Sturmfels
We present a collection of research questions on cubic surfaces in 3-space. These questions inspired a collection of papers to be published in a special issue of the journal Le Mat…
Effective potential reveals evolutionary trajectories in complex fitness landscapes
Matteo Smerlak
Growing efforts to measure fitness landscapes in molecular and microbial systems are premised on a tight relationship between landscape topography and evolutionary trajectories. Th…
Information transfer in generalized probabilistic theories based on weak repeatability
Zhaoqi Wu, Shao-Ming Fei, Xianqing Li-Jost +1
Information transfer in generalized probabilistic theories (GPT) is an important problem. We have dealt with the problem based on repeatability postulate, which generalizes Zurek's…