The Dirichlet-Ferguson diffusion on the space of probability measures over a closed Riemannian manifold
From MaRDI portal
Publication:2129694
DOI10.1214/21-AOP1541WikidataQ115240787 ScholiaQ115240787MaRDI QIDQ2129694
Publication date: 22 April 2022
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.11598
Wasserstein diffusionDirichlet-Ferguson diffusionDirichlet-Ferguson measuremodified massive Arratia flow
Probability measures on topological spaces (60B05) Markov semigroups and applications to diffusion processes (47D07) Diffusion processes (60J60) Random measures (60G57) Dirichlet form methods in Markov processes (60J46)
Related Items (9)
Density of subalgebras of Lipschitz functions in metric Sobolev spaces and applications to Wasserstein Sobolev spaces ⋮ Ergodic decompositions of Dirichlet forms under order isomorphisms ⋮ A Mecke-type characterization of the Dirichlet-Ferguson measure ⋮ The Dean-Kawasaki equation and the structure of density fluctuations in systems of diffusing particles ⋮ Reversible coalescing-fragmentating Wasserstein dynamics on the real line ⋮ Ergodic decomposition of Dirichlet forms via direct integrals and applications ⋮ Characteristic functionals of Dirichlet measures ⋮ A Rademacher-type theorem on \(L^2\)-Wasserstein spaces over closed Riemannian manifolds ⋮ On Dean-Kawasaki dynamics with smooth drift potential
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the inverse implication of Brenier-McCann theorems and the structure of \((\mathcal P_{2}(M),W_{2})\)
- Laplace operators on the cone of Radon measures
- Dirichlet forms and symmetric Markov processes.
- A new probability measure-valued stochastic process with Ferguson-Dirichlet process as reversible measure
- Mosco convergence of Dirichlet forms in infinite dimensions with changing reference measures
- The logarithmic Sobolev inequality for the Wasserstein diffusion
- Quasi-invariance of Brownian measures on the group of circle homeomorphisms and infinite-dimensional Riemannian geometry
- Continuity and weak convergence of ranked and size-biased permutations on the infinite simplex
- Some geometric calculations on Wasserstein space
- Quasi-invariance properties of a class of subordinators
- Dirichlet forms and analysis on Wiener space
- Introduction to the theory of (non-symmetric) Dirichlet forms
- Potential theory on the infinite dimensional torus
- Convergence to Fleming-Viot processes in the weak atomic topology
- A convexity principle for interacting gases
- Geometric aspects of Fleming-Viot and Dawson-Watanabe processes
- Small-time Gaussian behavior of symmetric diffusion semigroups
- Stochastic analysis on product manifolds: Dirichlet operators on differential forms
- Quasi-invariance and reversibility in the Fleming-Viot process
- Geometric analysis for symmetric Fleming-Viot operators: Rademacher's theorem and exponential families
- A system of coalescing heavy diffusion particles on the real line
- Superprocesses of stochastic flows
- Flows, coalescence and noise.
- An analytic approach to the Fleming-Viot processes with interactive selection
- Sharp estimates for capacities and applications to symmetric diffusions
- An integral characterization of the Dirichlet process
- Entropic measure and Wasserstein diffusion
- A partial Laplacian as an infinitesimal generator on the Wasserstein space
- Characteristic functionals of Dirichlet measures
- A Rademacher-type theorem on \(L^2\)-Wasserstein spaces over closed Riemannian manifolds
- Convergence of spectral structures: a functional analytic theory and its applications to spectral geometry
- A new multivariate transform and the distribution of a random functional of a Ferguson-Dirichlet process
- A Bayesian analysis of some nonparametric problems
- On equivalence of infinite product measures
- THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
- A Geometric Study of Wasserstein Spaces: Isometric Rigidity in Negative Curvature
- Second order analysis on (𝒫₂(ℳ),𝒲₂)
- Entropic Measure on Multidimensional Spaces
- Random Measures, Theory and Applications
- Differential forms on Wasserstein space and infinite-dimensional Hamiltonian systems
- Polar factorization and monotone rearrangement of vector‐valued functions
- REPRESENTATIONS OF THE GROUP OF DIFFEOMORPHISMS
- Infinite systems of stochastic differential equations and some lattice models on compact Riemannian manifolds
- On the Asymptotic Distribution of Large Prime Factors
- Quasi-homeomorphisms of Dirichlet forms
- Elliptic diffusions on infinite products.
- Topology of spaces of probability measures
- Modified Massive Arratia Flow and Wasserstein Diffusion
- Ergodicity for Infinite Dimensional Systems
- Energy measures and indices of Dirichlet forms, with applications to derivatives on some fractals
- Optimal Transport
This page was built for publication: The Dirichlet-Ferguson diffusion on the space of probability measures over a closed Riemannian manifold
