Week 5, July 2026

Title: $\mathrm{SL}(2,\mathbb{Z})$ Theta Subgroup Structure of Maxwell theory in the Lattice Villain Hamiltonian Formulation
Author: Shoto Aoki, Yoshio Kikukawa, Toshinari Takemoto
arXiv: http://arxiv.org/abs/2607.25332v1

Title: A Path Integral Model of Cognition
Author: Haruki Emori, Kazunori Kondo, Atsushi Iriki, Andrei Khrennikov
arXiv: http://arxiv.org/abs/2607.24807v1

Title: Universality of dual mass-scaled fundamental modes in two-fluid neutron stars with mirror dark matter
Author: Hajime Sotani, Ankit Kumar
arXiv: http://arxiv.org/abs/2607.27005v1

Title: Expected number density of critical points of smooth Gaussian random fields in arbitrary dimensions
Author: Satoshi Kuriki, Takahiko Matsubara, Satoshi Iso
arXiv: http://arxiv.org/abs/2607.23903v1

Title: Page transition for the complexity of an evaporating black hole
Author: Violet Concepcion, Yasunori Nomura, Kyle Ritchie, Samuel Weiss
arXiv: http://arxiv.org/abs/2607.21734v1

Title: Continuous solutions of the complex Kac--Bernstein functional equation on the integers and the real numbers
Author: Takashi Satomi
arXiv: http://arxiv.org/abs/2607.24033v1

Title: On the Nucleon Effective Mass in Neutron Stars Cooling
Author: Yuuki Sugiyama, Akira Dohi
arXiv: http://arxiv.org/abs/2607.23253v1

Title: A lower bound on primordial power spectrum from halo substructure
Author: Shin'ichiro Ando, Nagisa Hiroshima, Koji Ishiwata, Tomo Takahashi
arXiv: http://arxiv.org/abs/2607.20884v1

Title: Stochastic Quantization as Optimal Control
Author: Lingxiao Wang
arXiv: http://arxiv.org/abs/2607.21436v1

Title: Unitary $k$-designs without Hamiltonian quenches
Author: Pratik Nandy
arXiv: http://arxiv.org/abs/2607.20640v1