@incollection{ClavierGuoPaychaetal.2020,
  author    = {Clavier, Pierre J. and Guo, Li and Paycha, Sylvie and Zhang, Bin},
  title     = {Renormalisation and locality},
  series = {Algebraic Combinatorics, Resurgence, Moulds and Applications (CARMA) Volume 2},
  booktitle = {Algebraic Combinatorics, Resurgence, Moulds and Applications (CARMA) Volume 2},
  publisher = {European Mathematical Society Publishing House},
  address   = {Z{\"u}rich},
  isbn      = {978-3-03719-205-4 print},
  doi       = {10.4171/205},
  pages     = {85 -- 132},
  year      = {2020},
  language  = {en}
}
@article{AzzaliPaycha2020,
  author    = {Azzali, Sara and Paycha, Sylvie},
  title     = {Spectral zeta-invariants lifted to coverings},
  series = {Transactions of the American Mathematical Society},
  volume    = {373},
  journal   = {Transactions of the American Mathematical Society},
  number    = {9},
  publisher = {American Mathematical Society},
  address   = {Providence, RI},
  issn      = {0002-9947},
  doi       = {10.1090/tran/8067},
  pages     = {6185 -- 6226},
  year      = {2020},
  abstract  = {The canonical trace and the Wodzicki residue on classical pseudo-differential operators on a closed manifold are characterised by their locality and shown to be preserved under lifting to the universal covering as a result of their local feature. As a consequence, we lift a class of spectral zeta-invariants using lifted defect formulae which express discrepancies of zeta-regularised traces in terms of Wodzicki residues. We derive Atiyah's L-2-index theorem as an instance of the Z(2)-graded generalisation of the canonical lift of spectral zeta-invariants and we show that certain lifted spectral zeta-invariants for geometric operators are integrals of Pontryagin and Chern forms.},
  language  = {en}
}
@article{ClavierGuoPaychaetal.2020,
  author    = {Clavier, Pierre and Guo, Li and Paycha, Sylvie and Zhang, Bin},
  title     = {Locality and renormalization: universal properties and integrals on trees},
  series = {Journal of mathematical physics},
  volume    = {61},
  journal   = {Journal of mathematical physics},
  number    = {2},
  publisher = {American Institute of Physics},
  address   = {College Park, Md.},
  issn      = {0022-2488},
  doi       = {10.1063/1.5116381},
  pages     = {19},
  year      = {2020},
  abstract  = {The purpose of this paper is to build an algebraic framework suited to regularize branched structures emanating from rooted forests and which encodes the locality principle. This is achieved by means of the universal properties in the locality framework of properly decorated rooted forests. These universal properties are then applied to derive the multivariate regularization of integrals indexed by rooted forests. We study their renormalization, along the lines of Kreimer's toy model for Feynman integrals.},
  language  = {en}
}