@article{13145,
  abstract     = {We prove a characterization of the Dirichlet–Ferguson measure over an arbitrary finite diffuse measure space. We provide an interpretation of this characterization in analogy with the Mecke identity for Poisson point processes.},
  author       = {Dello Schiavo, Lorenzo and Lytvynov, Eugene},
  issn         = {1083-589X},
  journal      = {Electronic Communications in Probability},
  pages        = {1--12},
  publisher    = {Institute of Mathematical Statistics},
  title        = {{A Mecke-type characterization of the Dirichlet–Ferguson measure}},
  doi          = {10.1214/23-ECP528},
  volume       = {28},
  year         = {2023},
}

@article{12104,
  abstract     = {We study ergodic decompositions of Dirichlet spaces under intertwining via unitary order isomorphisms. We show that the ergodic decomposition of a quasi-regular Dirichlet space is unique up to a unique isomorphism of the indexing space. Furthermore, every unitary order isomorphism intertwining two quasi-regular Dirichlet spaces is decomposable over their ergodic decompositions up to conjugation via an isomorphism of the corresponding indexing spaces.},
  author       = {Dello Schiavo, Lorenzo and Wirth, Melchior},
  issn         = {1424-3202},
  journal      = {Journal of Evolution Equations},
  number       = {1},
  publisher    = {Springer Nature},
  title        = {{Ergodic decompositions of Dirichlet forms under order isomorphisms}},
  doi          = {10.1007/s00028-022-00859-7},
  volume       = {23},
  year         = {2023},
}