Results 51 to 60 of about 249,760 (328)
PERSISTENT DIRECTED FLAG LAPLACIAN. [PDF]
Found Data SciTopological data analysis (TDA) has had enormous success in science and engineering in the past decade. Persistent topological Laplacians (PTLs) overcome some limitations of persistent homology, a key technique in TDA, and provide substantial insight to the behavior of various geometric and topological objects.
Jones B, Wei GW.
europepmc +5 more sources
Hypergraph $p$-Laplacian: A Differential Geometry View
, 2017 The graph Laplacian plays key roles in information processing of relational data, and has analogies with the Laplacian in differential geometry. In this paper, we generalize the analogy between graph Laplacian and differential geometry to the hypergraph ...
Mandic, Danilo P +2 more
core +1 more source
On fractional Laplacians – 3 [PDF]
ESAIM: Control, Optimisation and Calculus of Variations, 2016 We investigate the role of the noncompact group of dilations in $\mathbb R^n$ on the difference of the quadratic forms associated to the fractional Dirichlet and Navier Laplacians. Then we apply our results to study the Brezis--Nirenberg effect in two families of noncompact boundary value problems involving the Navier-Laplacian.
MUSINA, Roberta, Nazarov, A. I.
openaire +3 more sources
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 We set out to obtain estimates of the Laplacian Spectrum of Riemannian manifolds with non-empty boundary. This was achieved using standard doubled manifold techniques. In simple terms, we pasted two copies of the same manifold along their common boundary
Sabatini Luca
doaj +1 more source
Iterated Conformal Dynamics and Laplacian Growth
, 2001 The method of iterated conformal maps for the study of Diffusion Limited Aggregates (DLA) is generalized to the study of Laplacian Growth Patterns and related processes.
A. Arneódo +27 more
core +1 more source
Discrete connection Laplacians [PDF]
Proceedings of the American Mathematical Society, 2008 Final version, to appear in Proc. Amer.
openaire +2 more sources
Laplacian Distribution and Domination [PDF]
Graphs and Combinatorics, 2017 Let $m_G(I)$ denote the number of Laplacian eigenvalues of a graph $G$ in an interval $I$, and let $ (G)$ denote its domination number. We extend the recent result $m_G[0,1) \leq (G)$, and show that isolate-free graphs also satisfy $ (G) \leq m_G[2,n]$.
Domingos M. Cardoso +2 more
openaire +4 more sources
Maximally degenerate laplacians [PDF]
Annales de l'Institut Fourier, 1996 The Laplacian Δ g of a compact Riemannian manifold (M,g) is called maximally degenerate if its eigenvalue multiplicity function m g (k) is of maximal growth among metrics of the same dimension and volume. Canonical spheres (S n , can ) and CROSSes are MD, and one asks if they are the only examples.
openaire +2 more sources
Hydrogen‐Bond–Driven Ion Retention in Electrolyte‐Gated Synaptic Transistors
Advanced Functional Materials, EarlyView.Anion molecular design governs ion–polymer interactions in electrolyte‐gated synaptic transistors. Asymmetric anions induce hydrogen‐bond interactions that suppress ion back‐diffusion and stabilize doping, enabling enhanced nonvolatile synaptic properties.
Donghwa Lee +5 more
wiley +1 more source
Flexible Dielectric Acoustic Resonator Patch for Tissue Regeneration
Advanced Materials, EarlyView.A flexible dielectric acoustic resonator patch enables MHz‐range ultrasound generation through resonance amplification without using piezoelectric materials. Conformal integration on a curved substrate allows efficient acoustic delivery to tissue‐mimicking environments.
Donyoung Kang +7 more
wiley +1 more source