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Lin, Yong, Lu, Linyuan, Yau, Shing-Tung
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Radiometric Constraints on the Timing, Tempo, and Effects of Large Igneous Province Emplacement
Exploring the links between Large Igneous Provinces and dramatic environmental impact
An emerging consensus suggests that Large Igneous Provinces (LIPs) and Silicic LIPs (SLIPs) are a significant driver of dramatic global environmental and biological changes, including mass extinctions.
Jennifer Kasbohm +2 more
wiley +3 more sources
Ricci curvature: An economic indicator for market fragility and systemic risk. [PDF]
Sandhu RS, Georgiou TT, Tannenbaum AR.
europepmc +2 more sources
Relation between Combinatorial Ricci Curvature and Lin-Lu-Yau's Ricci Curvature on Cell Complexes [PDF]
In this paper we compare the combinatorial Ricci curvature on cell complexes and the LLY-Ricci curvature defined on graphs. A cell complex is correspondence to a graph such that the vertexes are cells and the edges are vectors on the cell complex. We compare this two Ricci curvature by the cooupling and Kantrovich duality.
WATANABE, Kazuyoshi, YAMADA, Taiki
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Implementing quantum Ricci curvature [PDF]
Quantum Ricci curvature has been introduced recently as a new, geometric observable characterizing the curvature properties of metric spaces, without the need for a smooth structure. Besides coordinate invariance, its key features are scalability, computability and robustness.
Klitgaard, N.F. +3 more
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On Almost Nonpositive k-Ricci Curvature
Motivated by the recent work of Chu-Lee-Tam on the nefness of canonical line bundle for compact K hler manifolds with nonpositive $k$-Ricci curvature, we consider a natural notion of {\em almost nonpositive $k$-Ricci curvature}, which is weaker than the existence of a K hler metric with nonpositive $k$-Ricci curvature.
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Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
Ricci curvatures on Hermitian manifolds
In this paper, we introduce the first Aeppli-Chern class for complex manifolds and show that the ( 1 , 1 ) (1,1) -component of the curvature 2 2 -form of the Levi-Civita connection on the anti-canonical line bundle represents this class. We systematically investigate the relationship
Liu, Kefeng, Yang, Xiaokui
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Depressive symptoms as independent correlates of epilepsy‐related cognitive burden
Abstract Objective This study was undertaken to assess the relationship between the severity of depression and anxiety symptoms and epilepsy‐related variables and cognitive burden in people with epilepsy (PwE), as assessed using EpiTrack. Methods We prospectively enrolled a cohort of PwE who underwent EpiTrack and evaluation by Generalized Anxiety ...
Biagio Maria Sancetta +10 more
wiley +1 more source
Ricci Curvature on Birth-Death Processes
In this paper, we study curvature dimension conditions on birth-death processes which correspond to linear graphs, i.e., weighted graphs supported on the infinite line or the half line. We give a combinatorial characterization of Bakry and Émery’s CD(K,n) condition for linear graphs and prove the triviality of edge weights for every linear graph ...
Bobo Hua, Florentin Münch
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