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Statistical procedures rarely retain all features of the observed data. A sufficient statistic removes information irrelevant to a parameter; a maximum likelihood estimate compresses an empirical objective into an optimizing point; and a…

Methodology · Statistics 2026-05-27 Yuan-chin Ivan Chang

The unpredictable process of state collapse caused by quantum measurements makes the generation of quantum randomness possible. In this paper, we explore the quantitive connection between the randomness generation and the state collapse and…

Quantum Physics · Physics 2023-08-21 Liang-Liang Sun , Xingjian Zhang , Xiang Zhou , Zheng-Da Li , Xiongfeng Ma , Jingyun Fan , Sixia Yu

Collapse models are phenomenological models introduced to solve the measurement problem in quantum mechanics. They modify the Schr\"odinger equation by adding non-linear and stochastic terms, which induce the wavefunction collapse in space.…

Quantum Physics · Physics 2025-08-27 Matteo Carlesso , Sandro Donadi

The quantum mechanical treatment of diffraction of particles, based on the standard postulates of quantum mechanics and the postulate of existence of quantum trajectories, leads to the `position measurement-induced collapse' (PMIC) states.…

Quantum Physics · Physics 2026-04-28 Moncy V. John , Kiran Mathew

Accurate determination of the complex effective permittivity is fundamental to optical material engineering, but it remains a critical metrology challenge for heterogeneous systems. In polymer blends and optical composites, scattering and…

Optics · Physics 2026-03-03 Proity Nayeeb Akbar

Post-inflationary boundary conditions are essential to the existence of our highly structured universe, and these can only come about through quantum mechanical state reductions - i.e., through measurements. The choice is between: An…

Quantum Physics · Physics 2007-05-23 Richard A Mould

Ever since the early days of quantum mechanics it has been suggested that consciousness could be linked to the collapse of the wave function. However, no detailed account of such an interplay is usually provided. In this paper we present an…

Quantum Physics · Physics 2018-07-24 Elias Okon , Miguel Ángel Sebastián

A standard assumption for causal inference from observational data is that one has measured a sufficiently rich set of covariates to ensure that within covariate strata, subjects are exchangeable across observed treatment values. Skepticism…

Methodology · Statistics 2020-09-24 Eric J Tchetgen Tchetgen , Andrew Ying , Yifan Cui , Xu Shi , Wang Miao

The assumption that wave function collapse is induced by correlating interactions of the kind that constitute measurements leads to a stochastic collapse equation that does not require the introduction of any new physical constants and that…

Quantum Physics · Physics 2022-01-14 Edward J. Gillis

Using numerical simulations, we investigate the gravitational evolution of filamentary molecular cloud structures and their condensation into dense protostellar cores. One possible process is the so called 'edge effect', the pile-up of…

Astrophysics of Galaxies · Physics 2023-04-06 Elena Hoemann , Stefan Heigl , Andreas Burkert

Positron Emission Particle Tracking (PEPT) is an imaging method for the visualization of fluid motion, capable of reconstructing three-dimensional trajectories of small tracer particles suspended in nearly any medium, including fluids that…

Instrumentation and Detectors · Physics 2023-03-20 Avshalom Offner , Sam Manger , Jacques Vanneste

Hypoelliptic diffusion processes can be used to model a variety of phenomena in applications ranging from molecular dynamics to audio signal analysis. We study parameter estimation for such processes in situations where we observe some…

Methodology · Statistics 2007-10-30 Y. Pokern , A. M. Stuart , P. Wiberg

We numerically investigate the dynamics and linear rheology of disordered systems made of patchy particles, focussing on the role of valence, temperature and bonding mechanism. We demonstrate that the dynamics is enslaved to bonding, giving…

Soft Condensed Matter · Physics 2024-03-20 Samuel S. Gomez , Lorenzo Rovigatti

Polycrystalline metal failure often begins with stress concentration at grain boundaries. Identifying which microstructural features trigger these events is important but challenging because these extreme damage events are rare and the…

Applications · Statistics 2025-10-28 Yinling Zhang , Samuel D. Dunham , Curt A. Bronkhorst , Nan Chen

Practitioners monitoring deployed probabilistic models face a fundamental trap: any fixed-sample test applied repeatedly over an unbounded stream will eventually raise a false alarm, even when the model remains perfectly stable. Existing…

Methodology · Statistics 2026-03-16 Tristan Farran

We study detection of collapse in high-dimensional point clouds, where mass concentrates near a lower-dimensional set relative to a non-collapsed geometry. We propose persistent homology-based test statistics under two well-studied…

Computational Geometry · Computer Science 2026-04-30 Alexander Kalinowski

We study how to design a secure observer-based distributed controller such that a group of vehicles can achieve accurate state estimates and formation control even if the measurements of a subset of vehicle sensors are compromised by a…

Systems and Control · Electrical Eng. & Systems 2021-01-03 Xingkang He , Ehsan Hashemi , Karl H. Johansson

We study the collapse and revival of interference patterns in the momentum distribution of atoms in optical lattices, using a projection technique to properly account for the fixed total number of atoms in the system. We consider the common…

Quantum Gases · Physics 2011-06-21 J. Schachenmayer , A. J. Daley , P. Zoller

Phenomena associated with the controlled collapse of a Bose-Einstein condensate described in the experiment of Donley et al (E. Donley et. al., Nature 412, 295 (2001); N. Claussen, Ph. D. Thesis, U. of Colorado (2003)) are explained here as…

Condensed Matter · Physics 2007-05-23 Esteban Calzetta , Bei Lok Hu