The total variation flow in metric random walk spaces

DOI10.1007/s00526-019-1684-zzbMath1436.60071arXiv1905.01130OpenAlexW3102973976WikidataQ126385769 ScholiaQ126385769MaRDI QIDQ2288108

Marcos Solera, Julián Toledo, José M. Mazón Ruiz

Publication date: 17 January 2020

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.01130

zbMATH Keywords

metric random walk spaces

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Discrete-time Markov processes on general state spaces (60J05) Convergence of probability measures (60B10) Random walks on graphs (05C81)

Related Items (16)

Gradient flows in metric random walk spaces ⋮ \((\mathrm{BV},L^p)\)-decomposition, \(p = 1,2\), of functions in metric random walk spaces ⋮ Evolution problems of Leray-Lions type with nonhomogeneous Neumann boundary conditions in metric random walk spaces ⋮ The Cheeger cut and Cheeger problem in metric graphs ⋮ The Neumann and Dirichlet problems for the total variation flow in metric measure spaces ⋮ The Cheeger cut and Cheeger problem in metric measure spaces ⋮ Cahn–Hilliard equations on random walk spaces ⋮ Nonlocal Perimeters and Curvature Flows on Graphs with Applications in Image Processing and High-Dimensional Data Classification ⋮ Torsional Rigidity in Random Walk Spaces ⋮ The total variation flow in metric graphs ⋮ Nonlocal doubly nonlinear diffusion problems with nonlinear boundary conditions ⋮ The heat flow on metric random walk spaces ⋮ The total variation flow in metric random walk spaces ⋮ Local and nonlocal 1-Laplacian in Carnot groups ⋮ Least gradient functions in metric random walk spaces ⋮ Bourgain-Brezis-Mironescu approach in metric spaces with Euclidean tangents

Cites Work

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• Nonlinear total variation based noise removal algorithms
• Continuum limit of total variation on point clouds
• Characterizations of sets of finite perimeter using heat kernels in metric spaces
• Rearrangements in metric spaces and in the Heisenberg group
• Cheeger's cut, maxcut and the spectral theory of 1-Laplacian on graphs
• Local and nonlocal discrete regularization on weighted graphs for image and mesh processing
• Functions of bounded variation on ``good metric spaces
• On the spectrum of the normalized graph Laplacian
• Ricci curvature of Markov chains on metric spaces
• Isoperimetric inequalities and Markov chains
• Digital picture processing. An introduction. Transl. from the Russian
• Asymptotic convergence of nonlinear contraction semigroups in Hilbert space
• On an open question about functions of bounded variation.
• Parabolic quasilinear equations minimizing linear growth functionals
• A characterization of convex calibrable sets in \(\mathbb R^N\)
• Markov chains and invariant probabilities
• Lipschitz spaces and Poincaré inequalities
• Edge isoperimetric inequalities for product graphs
• Equivalent definitions of \(BV\) space and of total variation on metric measure spaces
• Mean curvature, threshold dynamics, and phase field theory on finite graphs
• The heat flow on metric random walk spaces
• The total variation flow in metric random walk spaces
• Nonlocal perimeter, curvature and minimal surfaces for measurable sets
• Tensorization of Cheeger energies, the space \(H^{1, 1}\) and the area formula for graphs
• On isoperimetric profiles of product spaces
• Consistency of Cheeger and Ratio Graph Cuts
• The 1-Laplacian Cheeger Cut: Theory and Algorithms
• Nonlocal Operators with Applications to Image Processing
• Spectrum of the 1-Laplacian and Cheeger's Constant on Graphs
• Markov Chains
• Partial Difference Operators on Weighted Graphs for Image Processing on Surfaces and Point Clouds
• Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets
• Eigenvalues of Graphs and Sobolev Inequalities
• Deblurring and Denoising of Images by Nonlocal Functionals
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces
• A Review of Image Denoising Algorithms, with a New One

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