@article{10176,
  abstract     = {We give a combinatorial model for r-spin surfaces with parameterized boundary based on Novak (“Lattice topological field theories in two dimensions,” Ph.D. thesis, Universität Hamburg, 2015). The r-spin structure is encoded in terms of ℤ𝑟-valued indices assigned to the edges of a polygonal decomposition. This combinatorial model is designed for our state-sum construction of two-dimensional topological field theories on r-spin surfaces. We show that an example of such a topological field theory computes the Arf-invariant of an r-spin surface as introduced by Randal-Williams [J. Topol. 7, 155 (2014)] and Geiges et al. [Osaka J. Math. 49, 449 (2012)]. This implies, in particular, that the r-spin Arf-invariant is constant on orbits of the mapping class group, providing an alternative proof of that fact.},
  author       = {Runkel, Ingo and Szegedy, Lorant},
  issn         = {00222488},
  journal      = {Journal of Mathematical Physics},
  number       = {10},
  publisher    = {AIP Publishing},
  title        = {{Topological field theory on r-spin surfaces and the Arf-invariant}},
  doi          = {10.1063/5.0037826},
  volume       = {62},
  year         = {2021},
}

@article{8134,
  abstract     = {We prove an upper bound on the free energy of a two-dimensional homogeneous Bose gas in the thermodynamic limit. We show that for a2ρ ≪ 1 and βρ ≳ 1, the free energy per unit volume differs from the one of the non-interacting system by at most 4πρ2|lna2ρ|−1(2−[1−βc/β]2+) to leading order, where a is the scattering length of the two-body interaction potential, ρ is the density, β is the inverse temperature, and βc is the inverse Berezinskii–Kosterlitz–Thouless critical temperature for superfluidity. In combination with the corresponding matching lower bound proved by Deuchert et al. [Forum Math. Sigma 8, e20 (2020)], this shows equality in the asymptotic expansion.},
  author       = {Mayer, Simon and Seiringer, Robert},
  issn         = {00222488},
  journal      = {Journal of Mathematical Physics},
  number       = {6},
  publisher    = {AIP Publishing},
  title        = {{The free energy of the two-dimensional dilute Bose gas. II. Upper bound}},
  doi          = {10.1063/5.0005950},
  volume       = {61},
  year         = {2020},
}

@article{8670,
  abstract     = {The α–z Rényi relative entropies are a two-parameter family of Rényi relative entropies that are quantum generalizations of the classical α-Rényi relative entropies. In the work [Adv. Math. 365, 107053 (2020)], we decided the full range of (α, z) for which the data processing inequality (DPI) is valid. In this paper, we give algebraic conditions for the equality in DPI. For the full range of parameters (α, z), we give necessary conditions and sufficient conditions. For most parameters, we give equivalent conditions. This generalizes and strengthens the results of Leditzky et al. [Lett. Math. Phys. 107, 61–80 (2017)].},
  author       = {Zhang, Haonan},
  issn         = {00222488},
  journal      = {Journal of Mathematical Physics},
  number       = {10},
  publisher    = {AIP Publishing},
  title        = {{Equality conditions of data processing inequality for α-z Rényi relative entropies}},
  doi          = {10.1063/5.0022787},
  volume       = {61},
  year         = {2020},
}

@article{7226,
  author       = {Jaksic, Vojkan and Seiringer, Robert},
  issn         = {00222488},
  journal      = {Journal of Mathematical Physics},
  number       = {12},
  publisher    = {AIP Publishing},
  title        = {{Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018}},
  doi          = {10.1063/1.5138135},
  volume       = {60},
  year         = {2019},
}

@article{912,
  abstract     = {We consider a many-body system of fermionic atoms interacting via a local pair potential and subject to an external potential within the framework of Bardeen-Cooper-Schrieffer (BCS) theory. We measure the free energy of the whole sample with respect to the free energy of a reference state which allows us to define a BCS functional with boundary conditions at infinity. Our main result is a lower bound for this energy functional in terms of expressions that typically appear in Ginzburg-Landau functionals.
},
  author       = {Deuchert, Andreas},
  issn         = {00222488},
  journal      = { Journal of Mathematical Physics},
  number       = {8},
  publisher    = {AIP Publishing},
  title        = {{A lower bound for the BCS functional with boundary conditions at infinity}},
  doi          = {10.1063/1.4996580},
  volume       = {58},
  year         = {2017},
}