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Title of Journal: Probab Theory Relat Fields

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Abbravation: Probability Theory and Related Fields

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Springer-Verlag

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10.1016/j.archger.2011.12.003

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1432-2064

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The divergence of Banach space valued random varia

Authors: E MayerWolf M Zakai
Publish Date: 2004/12/27
Volume: 132, Issue: 2, Pages: 291-320
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Abstract

The domain of definition of the divergence operator δ on an abstract Wiener space WHμ is extended to include W–valued and Open image in new window – valued “integrands” The main properties and characterizations of this extension are derived and it is shown that in some sense the added elements in δ’s extended domain have divergence zero These results are then applied to the analysis of quasiinvariant flows induced by Wvalued vector fields and among other results it turns out that these divergencefree vector fields “are responsible” for generating measure preserving flows

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  1. Loss without recovery of Gibbsianness during diffusion of continuous spins
  2. On the Dirichlet problem for asymmetric zero-range process on increasing domains
  3. Propagation and conditional propagation of chaos for pressureless gas equations
  4. Wasserstein space over the Wiener space
  5. Markov processes on partitions
  6. Quasi-stationary distributions for structured birth and death processes with mutations
  7. Outliers in the spectrum of iid matrices with bounded rank perturbations
  8. Product of random projections, Jacobi ensembles and universality problems arising from free probability
  9. Poincaré type inequalities on the discrete cube and in the CAR algebra
  10. The largest eigenvalue of small rank perturbations of Hermitian random matrices
  11. Invariance principle for the random conductance model
  12. Modified logarithmic Sobolev inequalities and transportation inequalities
  13. Asymptotic statistical equivalence for scalar ergodic diffusions
  14. Zero-temperature Glauber dynamics on $${\mathbb{Z}^d}$$
  15. Selector processes on classes of sets
  16. A simple proof of exponential decay of subcritical contact processes
  17. Large deviations for many Brownian bridges with symmetrised initial-terminal condition
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