@article{12707,
  abstract     = {We establish precise right-tail small deviation estimates for the largest eigenvalue of real symmetric and complex Hermitian matrices whose entries are independent random variables with uniformly bounded moments. The proof relies on a Green function comparison along a continuous interpolating matrix flow for a long time. Less precise estimates are also obtained in the left tail.},
  author       = {Erdös, László and Xu, Yuanyuan},
  issn         = {1350-7265},
  journal      = {Bernoulli},
  number       = {2},
  pages        = {1063--1079},
  publisher    = {Bernoulli Society for Mathematical Statistics and Probability},
  title        = {{Small deviation estimates for the largest eigenvalue of Wigner matrices}},
  doi          = {10.3150/22-BEJ1490},
  volume       = {29},
  year         = {2023},
}

@article{12281,
  abstract     = {We study the hydrodynamic and hydrostatic limits of the one-dimensional open symmetric inclusion process with slow boundary. Depending on the value of the parameter tuning the interaction rate of the bulk of the system with the boundary, we obtain a linear heat equation with either Dirichlet, Robin or Neumann boundary conditions as hydrodynamic equation. In our approach, we combine duality and first-second class particle techniques to reduce the scaling limit of the inclusion process to the limiting behavior of a single, non-interacting, particle.},
  author       = {Franceschini, Chiara and Gonçalves, Patrícia and Sau, Federico},
  issn         = {1350-7265},
  journal      = {Bernoulli},
  keywords     = {Statistics and Probability},
  number       = {2},
  pages        = {1340--1381},
  publisher    = {Bernoulli Society for Mathematical Statistics and Probability},
  title        = {{Symmetric inclusion process with slow boundary: Hydrodynamics and hydrostatics}},
  doi          = {10.3150/21-bej1390},
  volume       = {28},
  year         = {2022},
}