Tootfinder

Stability characterization of impulsive linear switched systems
Yacine Chitour (L2S), Jamal Daafouz (IUF, CRAN), Ihab Haidar (ENSEA, QUARTZ), Paolo Mason (L2S), Mario Sigalotti (LJLL)
https://arxiv.org/abs/2507.02434

Stability characterization of impulsive linear switched systems
This paper addresses a class of impulsive systems defined by a mix of continuous-time and discrete-time switched linear dynamics. We first analyze a related class of weighted discrete time switched systems for which we establish two main stability results: a converse Lyapunov theorem and a Berger-Wang-type formula. These results are used to characterize the exponential stability of the considered class of systems via spectral and Lyapunov-based approaches, extending existing results in hybrid a…

Wilson Line and Disorder Invariants of Topological One-Dimensional Multiband Models
R. Moola, A. Mckenna, M. Hilke
https://arxiv.org/abs/2507.01846 https:/…

Wilson Line and Disorder Invariants of Topological One-Dimensional Multiband Models
Topological invariants, such as the winding number, the Chern number, and the Zak phase, characterize the topological phases of bulk materials. Through the bulk-boundary correspondence, these topological phases have a one-to-one correspondence to topological edge states, which are robust to certain classes of disorder. For simple models like the Su-Schrieffer-Heeger (SSH) model, the computation of the winding number and Zak phase are straightforward, however, in multiband systems, this is no lo…

Resolving structural dynamics in situ through cryogenic electron tomography
Jackson Carrion, Joseph H. Davis
https://arxiv.org/abs/2506.22719 https://

Resolving structural dynamics in situ through cryogenic electron tomography
Cryo-electron tomography (cryo-ET) has emerged as a powerful tool for studying the structural heterogeneity of proteins and their complexes, offering insights into macromolecular dynamics directly within cells. Driven by recent computational advances, including powerful machine learning frameworks, researchers can now resolve both discrete structural states and continuous conformational changes from 3D subtomograms and stacks of 2D particle-images acquired across tilt-series. In this review, we…