Disordered Systems and Neural Networks Papers

The Geometry of Semantic Space: A Continuous Geometric Framework for the Transformer Architecture Zhihua Liang arxiv.org/abs/2607.17146 [𝚌𝚘𝚗𝚍-𝚖𝚊𝚝.𝚍𝚒𝚜-𝚗𝚗 𝚌𝚜.𝙲𝙻 𝚌𝚜.𝙻𝙶]

Distinct reentrant transitions in a quasi-periodic Raman lattice Xingbo Wei, Zhentian Xie, Tong Liu, Gao Xianlong, Yunbo Zhang arxiv.org/abs/2607.17104 [𝚌𝚘𝚗𝚍-𝚖𝚊𝚝.𝚍𝚒𝚜-𝚗𝚗]

Transport-Weighted Coercivity in Granular CrO2: Why Magnetoresistance and Magnetization Can Disagree E. Yu. Beliayev, I. G. Mirzoiev, V. A. Horielyi, I. A. Chichibaba arxiv.org/abs/2607.16984 [𝚌𝚘𝚗𝚍-𝚖𝚊𝚝.𝚍𝚒𝚜-𝚗𝚗]

Point Group Equivariant Graph Neural Networks for Materials Alexander J. Heilman, Qimin Yan arxiv.org/abs/2607.16871 [𝚌𝚘𝚗𝚍-𝚖𝚊𝚝.𝚍𝚒𝚜-𝚗𝚗 𝚌𝚘𝚗𝚍-𝚖𝚊𝚝.𝚖𝚝𝚛𝚕-𝚜𝚌𝚒]

Nanowire networks' interconnection graphs from their photomicrographs Javier Tau Anzoátegui, Juan Ignacio Diaz Schneider, Eduardo D. Martínez, Pablo Levy, Oscar Filevich, … arxiv.org/abs/2607.16445 [𝚌𝚘𝚗𝚍-𝚖𝚊𝚝.𝚍𝚒𝚜-𝚗𝚗 𝚌𝚘𝚗𝚍-𝚖𝚊𝚝.𝚖𝚎𝚜-𝚑𝚊𝚕𝚕 𝚖𝚊𝚝𝚑-𝚙𝚑]

Quantum and classical entropic complexity of the thermal state: coherence, decoherence, and the ergodic-to-localized crossover in random-matrix and many-body models Imre Varga, Onur Aktan arxiv.org/abs/2607.15798 [𝚌𝚘𝚗𝚍-𝚖𝚊𝚝.𝚍𝚒𝚜-𝚗𝚗]

A Flickering Resonance Degeneracy on Entropy-Ruled Charge Transport in the Extended Hopping Sites for Biological Systems: Role of Static-to-Dynamic Disorder Transition K. Navamani, … arxiv.org/abs/2607.15785 [𝚌𝚘𝚗𝚍-𝚖𝚊𝚝.𝚍𝚒𝚜-𝚗𝚗 𝚌𝚘𝚗𝚍-𝚖𝚊𝚝.𝚖𝚎𝚜-𝚑𝚊𝚕𝚕]

Absence of Spin-Glass Order on Migdal–Kadanoff Hierarchical Lattices near Three Dimensions Manaka Okuyama, Masayuki Ohzeki arxiv.org/abs/2607.15676 [𝚌𝚘𝚗𝚍-𝚖𝚊𝚝.𝚍𝚒𝚜-𝚗𝚗 𝚖𝚊𝚝𝚑-𝚙𝚑]

Star-triangle duality estimates for triangular and honeycomb permutation models Masayuki Ohzeki arxiv.org/abs/2607.14917 [𝚌𝚘𝚗𝚍-𝚖𝚊𝚝.𝚍𝚒𝚜-𝚗𝚗 𝚚𝚞𝚊𝚗𝚝-𝚙𝚑]

Emergent quantum chaos from correlations on a random graph Mrinal Sarkar, Valerio Pagni, Tilman Enss, Nicolò Defenu arxiv.org/abs/2607.11662 [𝚌𝚘𝚗𝚍-𝚖𝚊𝚝.𝚍𝚒𝚜-𝚗𝚗]

Analytical mobility edge in nonreciprocal quasiperiodic lattices with next-nearest-neighbor hopping Wenmin Wang, Xiaosen Yang, Xianqi Tong arxiv.org/abs/2607.10996 [𝚌𝚘𝚗𝚍-𝚖𝚊𝚝.𝚍𝚒𝚜-𝚗𝚗 𝚚𝚞𝚊𝚗𝚝-𝚙𝚑]

Learning as a Geometric Phase Transition: Renormalization Group Flow and Anisotropic Symmetry Breaking in Deep Networks G. Le Pera, C. Nordio arxiv.org/abs/2607.10770 [𝚌𝚘𝚗𝚍-𝚖𝚊𝚝.𝚍𝚒𝚜-𝚗𝚗]

Spectral Signatures of Replica Symmetry Breaking in Optimization-Induced Random Matrices Isaac Pérez Castillo arxiv.org/abs/2607.10513 [𝚌𝚘𝚗𝚍-𝚖𝚊𝚝.𝚍𝚒𝚜-𝚗𝚗]

Interwoven long-range order induced by random fields Jeremiah Bender, Thomas Vojta arxiv.org/abs/2607.10337 [𝚌𝚘𝚗𝚍-𝚖𝚊𝚝.𝚍𝚒𝚜-𝚗𝚗 𝚌𝚘𝚗𝚍-𝚖𝚊𝚝.𝚜𝚝𝚊𝚝-𝚖𝚎𝚌𝚑 𝚌𝚘𝚗𝚍-𝚖𝚊𝚝.𝚜𝚝𝚛-𝚎𝚕 𝚌𝚘𝚗𝚍-𝚖𝚊𝚝.𝚜𝚞𝚙𝚛-𝚌𝚘𝚗]

A multi-ensemble mean-field reduction method for networks of globally coupled phase oscillators with arbitrary parameter distributions Richard Gast, Shotaro Takasu, Helmut Schmidt, Ann Kennedy arxiv.org/abs/2607.09516 [𝚌𝚘𝚗𝚍-𝚖𝚊𝚝.𝚍𝚒𝚜-𝚗𝚗 𝚗𝚕𝚒𝚗.𝙲𝙳 𝚚-𝚋𝚒𝚘.𝙽𝙲]

Level statistics in the fractal phase of generalized Rosenzweig–Porter models Victor Delapalme, Leticia F. Cugliandolo, Alexander K. Hartmann, Marco Tarzia, Davide Venturelli arxiv.org/abs/2607.09444 [𝚌𝚘𝚗𝚍-𝚖𝚊𝚝.𝚍𝚒𝚜-𝚗𝚗 𝚌𝚘𝚗𝚍-𝚖𝚊𝚝.𝚜𝚝𝚊𝚝-𝚖𝚎𝚌𝚑]

Transient Reserves, Sink Dampers, and the Failure of Eigenvalue Reasoning in the Attention Propagator Li Hengyu arxiv.org/abs/2607.09279 [𝚌𝚘𝚗𝚍-𝚖𝚊𝚝.𝚍𝚒𝚜-𝚗𝚗]

Lecture notes on random matrix theory: the results, the applications, and the analytical tools Joseph W. Baron arxiv.org/abs/2607.07868 [𝚌𝚘𝚗𝚍-𝚖𝚊𝚝.𝚍𝚒𝚜-𝚗𝚗]

Electron-Phonon Dephasing in Ultrathin Disordered Films: From Power Laws to Diagnostic Maps Eugeniy Yu. Beliayev arxiv.org/abs/2607.05951 [𝚌𝚘𝚗𝚍-𝚖𝚊𝚝.𝚍𝚒𝚜-𝚗𝚗]

Autoencoder-Based Unsupervised Identification of Nonequilibrium Phases in Sheared Binary Colloids Yoshitaka Miyahara, Taiki Haga arxiv.org/abs/2607.05860 [𝚌𝚘𝚗𝚍-𝚖𝚊𝚝.𝚍𝚒𝚜-𝚗𝚗]