Results 31 to 40 of about 228,756 (169)
A proof of a trace formula by Richard Melrose
Advanced Nonlinear Studies, 2023 The goal of this article is to give a new proof of the wave trace formula proved by Richard Melrose in an impressive article. This trace formula is an extension of the Chazarain-Duistermaat-Guillemin trace formula (denoted as “CDG trace formula” in this ...
Colin de Verdière Yves
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Frontiers in Human Neuroscience, 2021 Objective: Tangent Space Mapping (TSM) using the geometric structure of the covariance matrices is an effective method to recognize multiclass motor imagery (MI).
Fan Wu +11 more
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Cortical-inspired image reconstruction via sub-Riemannian geometry and hypoelliptic diffusion
ESAIM: Proceedings and Surveys, 2018 In this paper we review several algorithms for image inpainting based on the hypoelliptic diffusion naturally associated with a mathematical model of the primary visual cortex. In particular, we present one algorithm that does not exploit the information
Boscain Ugo +4 more
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Foundations of Ghost Stability
Fortschritte der Physik, EarlyView.Abstract The authors present a new method to analytically prove global stability in ghost‐ridden dynamical systems. The proposal encompasses all prior results and consequentially extends them. In particular, it is shown that stability can follow from a conserved quantity that is unbounded from below, contrary to expectation.
Verónica Errasti Díez +2 more
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Social Rationality and Human Reasoning: Logical Expressivism and the Flat Mind
Topics in Cognitive Science, EarlyView.Abstract This paper attempts to reconcile the claims that the mind is both flat (Chater, 2018) and highly rational (Oaksford & Chater, 2020). According to the flat mind hypothesis, the mind is a mass of inconsistent and contradictory fragments of experience.
Mike Oaksford
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From the conformal anomaly to the Virasoro algebra
Proceedings of the London Mathematical Society, Volume 130, Issue 4, April 2025.Abstract The conformal anomaly and the Virasoro algebra are fundamental aspects of two‐dimensional conformal field theory and conformally covariant models in planar random geometry. In this article, we explicitly derive the Virasoro algebra from an axiomatization of the conformal anomaly in terms of real determinant lines, one‐dimensional vector spaces
Sid Maibach, Eveliina Peltola
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Multiscale Differential Geometry Learning for Protein Flexibility Analysis
Journal of Computational Chemistry, Volume 46, Issue 7, March 15, 2025.Protein structure fluctuations, as measured by B‐factors, are closely linked to protein flexibility and function. Predicting B‐factors is an important research topic that has led to the development of various predictive models. Atomic interactions within proteins can be described using a family of low‐dimensional manifolds.
Hongsong Feng +2 more
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Curvature-dimension inequalities on sub-Riemannian manifolds obtained from Riemannian foliations, Part I [PDF]
, 2015 We give a generalized curvature-dimension inequality connecting the geometry of sub-Riemannian manifolds with the properties of its sub-Laplacian. This inequality is valid on a large class of sub-Riemannian manifolds obtained from Riemannian foliations ...
Grong, Erlend, Thalmaier, Anton
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On the Alexandrov Topology of sub-Lorentzian Manifolds
, 2013 It is commonly known that in Riemannian and sub-Riemannian Geometry, the metric tensor on a manifold defines a distance function. In Lorentzian Geometry, instead of a distance function it provides causal relations and the Lorentzian time-separation ...
A Korolko +18 more
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On an evolution equation in sub-Finsler geometry
Analysis and Geometry in Metric SpacesWe study the gradient flow of an energy with mixed homogeneity, which is at the interface of Finsler and sub-Riemannian geometry.
Garofalo Nicola
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