@article{18632,
  abstract     = {For an arbitrary dimension (Formula presented.), we study: the polyharmonic Gaussian field (Formula presented.) on the discrete torus (Formula presented.), that is the random field whose law on (Formula presented.) given by (Formula presented.) where (Formula presented.) is the Lebesgue measure and (Formula presented.) is the discrete Laplacian; the associated discrete Liouville quantum gravity (LQG) measure associated with it, that is, the random measure on (Formula presented.) (Formula presented.) where (Formula presented.) is a regularity parameter. As (Formula presented.), we prove convergence of the fields (Formula presented.) to the polyharmonic Gaussian field (Formula presented.) on the continuous torus (Formula presented.), as well as convergence of the random measures (Formula presented.) to the LQG measure (Formula presented.) on (Formula presented.), for all (Formula presented.). },
  author       = {Dello Schiavo, Lorenzo and Herry, Ronan and Kopfer, Eva and Sturm, Karl Theodor},
  issn         = {1522-2616},
  journal      = {Mathematische Nachrichten},
  number       = {1},
  pages        = {244--281},
  publisher    = {Wiley},
  title        = {{Polyharmonic fields and Liouville quantum gravity measures on tori of arbitrary dimension: From discrete to continuous}},
  doi          = {10.1002/mana.202400169},
  volume       = {298},
  year         = {2025},
}

@article{12429,
  abstract     = {In this paper, we consider traces at initial times for functions with mixed time-space smoothness. Such results are often needed in the theory of evolution equations. Our result extends and unifies many previous results. Our main improvement is that we can allow general interpolation couples. The abstract results are applied to regularity problems for fractional evolution equations and stochastic evolution equations, where uniform trace estimates on the half-line are shown.},
  author       = {Agresti, Antonio and Lindemulder, Nick and Veraar, Mark},
  issn         = {1522-2616},
  journal      = {Mathematische Nachrichten},
  number       = {4},
  pages        = {1319--1350},
  publisher    = {Wiley},
  title        = {{On the trace embedding and its applications to evolution equations}},
  doi          = {10.1002/mana.202100192},
  volume       = {296},
  year         = {2023},
}