Results 51 to 60 of about 34,327 (198)
Renormalization Group and the Ricci Flow [PDF]
30 pages, 16 PNG figures, Conference talk at the Riemann International School of Mathematics: Advances in Number Theory and Geometry, Verbania April 19-24, 2009- Proceedings to appear in Milan Journal of Mathematics (Birkhauser)
openaire +3 more sources
Pseudolocality for the Ricci Flow and Applications [PDF]
Abstract Perelman established a differential Li-Yau-Hamilton (LYH) type inequality for fundamental solutions of the conjugate heat equation corresponding to the Ricci flow on compact manifolds. As an application of the LYH inequality, Perelman proved a pseudolocality result for the Ricci flow on compact manifolds. In this article we provide the details
Chau, Albert +2 more
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Four decades of retinal vessel segmentation research (1982–2025) are synthesized, spanning classical image processing, machine learning, and deep learning paradigms. A meta‐analysis of 428 studies establishes a unified taxonomy and highlights performance trends, generalization capabilities, and clinical relevance.
Avinash Bansal +6 more
wiley +1 more source
The Impact of Socio-Economic Challenges and Technological Progress on Economic Inequality: An Estimation with the Perelman Model and Ricci Flow Methods [PDF]
The article examines the impact of 16 key parameters of the Georgian economy on economic inequality, using the Perelman model and Ricci flow mathematical methods.
Davit Gondauri
doaj +1 more source
Lymphatic Abnormalities in Noonan Syndrome Extend Beyond Clinically Apparent Disease
ABSTRACT Lymphatic disease represents a well‐described manifestation of Noonan syndrome (NS), yet the full phenotypic spectrum remains incompletely characterized, especially in asymptomatic individuals. We conducted a cross‐sectional study including 10 individuals with NS (four with peripheral lymphedema and six without) and 10 age‐ and sex‐matched ...
Inger Norlyk Sheyanth +7 more
wiley +1 more source
Regularising the Ricci Flow Embedding [PDF]
This paper concerns the analysis of patterns that are specified in terms of non-Euclidean dissimilarity or proximity rather than ordinal values. In prior work we have reported a means of correcting or rectifying the similarities so that the non-Euclidean artifacts are minimized.
Weiping Xu +2 more
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A note on conformal Ricci flow [PDF]
In this note we study conformal Ricci flow introduced by Arthur Fischer. We use DeTurck's trick to rewrite conformal Ricci flow as a strong parabolic-elliptic partial differential equations. Then we prove short time existences for conformal Ricci flow on compact manifolds as well as on asymptotically flat manifolds.
Lu, Peng, Qing, Jie, Zheng, Yu
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ABSTRACT The transition to a circular economy (CE) has become a strategic priority for firms, yet empirical assessments of corporate circularity remain fragmented and heavily dependent on structured indicators or self‐reported metrics. This paper proposes a novel, text‐based circularity index derived from mandatory non‐financial statements of large ...
Giuseppe Pernagallo +2 more
wiley +1 more source
The conical K\"ahler-Ricci flow on Fano manifolds [PDF]
In this paper, we study the long-term behavior of the conical K\"ahler-Ricci flow on Fano manifold $M$. First, based on our work of locally uniform regularity for the twisted K\"ahler-Ricci flows, we obtain a long-time solution to the conical K\"ahler ...
Liu, Jiawei, Zhang, Xi
core
Differential Harnack Estimates for heat Equation under Finsler-Ricci Flow
In this paper we prove first order differential Harnack estimates for positive solutions of the heat equation (in the sense of distributions) under closed Finsler-Ricci flows. We assume mild non-linearities (in terms of the Chern connection, $\mathbf{S}-$
Lakzian, Sajjad
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