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Image persistence is a major problem in infrared detectors, potentially seriously limiting data quality in many observational regimes. The problem manifests itself as remnant images that can persist for several days after a deep exposure.…

Instrumentation and Methods for Astrophysics · Physics 2018-07-17 Simon Tulloch

Infrared hybridized detectors are widely used in astronomy, and their performance can be degraded by image persistence. This results in remnant images that can persist in the detector for many hours, contaminating any subsequent…

Instrumentation and Methods for Astrophysics · Physics 2019-09-04 Simon Tulloch , Elizabeth George

One of the most elusive challenges within the area of topological data analysis is understanding the distribution of persistence diagrams. Despite much effort, this is still largely an open problem. In this paper, we present a series of…

Statistics Theory · Mathematics 2022-07-11 Omer Bobrowski , Primoz Skraba

The persistence theory has been employed by several authors in order to study persistence properties of dynamical systems generated by ordinary differential equations or maps across diverse disciplines. In this note, the author discusses a…

Dynamical Systems · Mathematics 2025-09-09 N. Pant

Distributed energy resources are better for the environment but may cause transformer overload in distribution grids, calling for recovering meter-transformer mapping to provide situational awareness, i.e., the transformer loading. The…

Optimization and Control · Mathematics 2022-05-23 Bilal Saleem , Yang Weng

We calculate the survival probability of a stationary target in one dimension surrounded by diffusive or subdiffusive traps of time-dependent density. The survival probability of a target in the presence of traps of constant density is…

Soft Condensed Matter · Physics 2007-05-23 S. B. Yuste , J. J. Ruiz-Lorenzo , Katja Lindenberg

We consider the survival probability of a particle in the presence of a finite number of diffusing traps in one dimension. Since the general solution for this quantity is not known when the number of traps is greater than two, we devise a…

Statistical Mechanics · Physics 2009-11-07 R. A. Blythe , A. J. Bray

The performance of persistent phosphors under given charging and working conditions is determined by the properties of the traps that are responsible for these unique properties. Traps are characterized by the height of their associated…

Materials Science · Physics 2022-06-03 Ang Feng , Jonas J. Joos , Jiaren Du , Philippe F. Smet

Typically, amorphous organic materials contain high density of traps. Traps hinder charge transport and, hence, affect various working parameters of organic electronic devices. In this paper we suggest a simple but reliable method for the…

Materials Science · Physics 2013-03-21 S. V. Novikov , A. R. Tameev , A. V. Vannikov , J. -M. Nunzi

A model for diffusion on a cubic lattice with a random distribution of traps is developed. The traps are redistributed at certain time intervals. Such models are useful for describing systems showing dynamic disorder, such as ion-conducting…

Condensed Matter · Physics 2009-10-31 S. Mandal , R. Dasgupta

Persistence diagrams are useful displays that give a summary information regarding the topological features of some phenomenon. Usually, only one persistence diagram is available, and replicated persistence diagrams are needed for…

Algebraic Topology · Mathematics 2019-05-16 Sarit Agami

Persistence diagrams play a fundamental role in Topological Data Analysis where they are used as topological descriptors of filtrations built on top of data. They consist in discrete multisets of points in the plane $\mathbb{R}^2$ that can…

Computational Geometry · Computer Science 2019-03-25 Frédéric Chazal , Vincent Divol

The current understanding of charge transfer dynamics in Charge-Coupled Devices (CCDs) is that charge is moved so quickly from one phase to the next in a clocking sequence and with a density so low that trapping of charge in the inter-phase…

Instrumentation and Methods for Astrophysics · Physics 2018-01-04 Jesper Skottfelt , David J. Hall , Ben Dryer , Nathan Bush , Jason Gow , Andrew Holland

Object permanence is the concept that objects do not suddenly disappear in the physical world. Humans understand this concept at young ages and know that another person is still there, even though it is temporarily occluded. Neural networks…

Computer Vision and Pattern Recognition · Computer Science 2022-11-29 Michael Fürst , Priyash Bhugra , René Schuster , Didier Stricker

In the quest for signatures of coherent transport we consider exciton trapping in the continuous-time quantum walk framework. The survival probability displays different decay domains, related to distinct regions of the spectrum of the…

Persistent homology is a topological data analysis tool that has been widely generalized, extending its scope beyond the field of topology. Among its extensions, steady and ranging persistence were developed to study a wide variety of graph…

Algebraic Topology · Mathematics 2026-05-15 Yann-Situ Gazull

Computational topology has recently known an important development toward data analysis, giving birth to the field of topological data analysis. Topological persistence, or persistent homology, appears as a fundamental tool in this field.…

Statistics Theory · Mathematics 2013-05-28 Frédéric Chazal , Marc Glisse , Catherine Labruère , Bertrand Michel

Recently, we have experimentally demonstrated a continuous loading mechanism for an optical dipole trap from a guided atomic beam [1]. The observed evolution of the number of atoms and temperature in the trap are consequences of the unusual…

We theoretically study the trapping time distribution and the efficiency of the excitation energy transport in dendritic systems. Trapping of excitations, created at the periphery of the dendrimer, on a trap located at its core, is used as…

Materials Science · Physics 2007-05-23 Dirk-Jan Heijs , Victor A. Malyshev , Jasper Knoester

Autonomous vehicles often perceive the environment by feeding sensor data to a learned detector algorithm, then feeding detections to a multi-object tracker that models object motions over time. Probabilistic models of multi-object trackers…

Robotics · Computer Science 2019-09-19 Michael Motro , Joydeep Ghosh
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