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I set the stage for discussion of the stellar populations in interacting galaxies by looking back over the slow development of our understanding of these systems. From early anecdotal collections, to systematic cataloging, and finally to…

Cosmology and Nongalactic Astrophysics · Physics 2009-08-13 William C. Keel

Link prediction in graphs is a task that has been widely investigated. It has been applied in various domains such as knowledge graph completion, content/item recommendation, social network recommendations and so on. The initial focus of…

Social and Information Networks · Computer Science 2023-02-07 Nayana Bannur , Mashrin Srivastava , Harsha Vardhan

Recent studies have investigated various dynamic processes characterizing collective behaviors in real-world systems. However, these dynamics have been studied individually in specific contexts. In this article, we present a holistic…

Applied Physics · Physics 2025-01-28 Ming Xie , Shibo He , Aming Li , Zike Zhang , Youxian Sun , Jiming Chen

Open quantum systems have become an active area of research, owing to its potential applications in many different fields ranging from computation to biology. Here, we review the formalism of dynamical maps used to represent the time…

Quantum Physics · Physics 2019-02-05 Vinayak Jagadish , Francesco Petruccione

Networks are a widely used and efficient paradigm to model real-world systems where basic units interact pairwise. Many body interactions are often at play, and cannot be modelled by resorting to binary exchanges. In this work, we consider…

Adaptation and Self-Organizing Systems · Physics 2020-06-03 Timoteo Carletti , Duccio Fanelli , Sara Nicoletti

The goal of this paper is to consider some relations between varieties of representations of groups and varieties of associative algebras. The main emphasis is put on the varieties of representations of groups induced by the varieties of…

Representation Theory · Mathematics 2009-07-21 Elena Aladova , Boris Plotkin

Our aim is to introduce a category-theoretic framework sufficiently general to describe a wide variety of open kinematic systems in classical mechanics while uniquely characterizing systems with specified simplest components. The framework…

Mathematical Physics · Physics 2026-02-24 Andrea Abeje-Stine , David Weisbart

In Option-Driven Design, users must interact with options and settings for systems to adapt to their needs. This approach places the burden on both the user and the system to make the interaction between user and system fit. The user must…

Human-Computer Interaction · Computer Science 2023-05-02 Frank Elavsky

This paper describes a set of data made available that contains detailed subtask coding of interactions with several production vehicle human machine interfaces (HMIs) on open roadways, along with accompanying eyeglance data.

Human-Computer Interaction · Computer Science 2019-08-10 B. D. Sawyer , Sean Seaman , Linda Angell , Jon Dobres , Bruce Mehler , Bryan Reimer

A broad range of dynamical systems involve multi-body interactions, or group interactions, which may not be encoded in traditional graphical structures. In this work, we focus on a canonical example from opinion dynamics, the Majority Rule,…

Physics and Society · Physics 2021-09-01 James Noonan , Renaud Lambiotte

We adapt the study of hyperspaces and function spaces from classical topology to digital topology. We define digital hyperspaces and digital function graphs, and study some of their relationships and graphical properties.

Geometric Topology · Mathematics 2023-02-07 Laurence Boxer

Graphs are important data representations for describing objects and their relationships, which appear in a wide diversity of real-world scenarios. As one of a critical problem in this area, graph generation considers learning the…

Machine Learning · Computer Science 2022-10-06 Xiaojie Guo , Liang Zhao

This chapter presents some of the links between automata theory and symbolic dynamics. The emphasis is on two particular points. The first one is the interplay between some particular classes of automata, such as local automata and results…

Formal Languages and Automata Theory · Computer Science 2011-02-08 Marie-Pierre Béal , Jean Berstel , Søren Eilers , Dominique Perrin

The dynamics of open quantum systems (i.e., of quantum systems interacting with an uncontrolled environment) forms the basis of numerous active areas of research from quantum thermodynamics to quantum computing. One approach to modeling…

Quantum Physics · Physics 2020-09-23 Daniel Grimmer

These lectures are intended to provide an introduction to the rich interplay between N-body simulations and stellar-kinematic observations of galaxies. The first section describes the kinematic properties of galaxies that are accessible to…

Astrophysics · Physics 2007-05-23 Michael R. Merrifield

How do we summarize dynamic behavioral interactions? We introduce a possible node-embedding-based solution to this question: temporal egonet subgraph transitions.

Social and Information Networks · Computer Science 2023-03-28 Daniel Gonzalez Cedre , Sophia Abraham , Lucas Parzianello , Eric Tsai

We are faced with data comprised of entities interacting over time: this can be individuals meeting, customers buying products, machines exchanging packets on the IP network, among others. Capturing the dynamics as well as the structure of…

Artificial Intelligence · Computer Science 2021-07-29 Tiphaine Viard , Henry Soldano , Guillaume Santini

The concept of n-categories and related subject is considered. An n-category is described as an n-graph with a composition. A new definition of operad is presented. Some illustrative examples are given.

Category Theory · Mathematics 2007-05-23 Zbigniew Oziewicz , Wladyslaw Marcinek

After a preliminary discussion of the relevance of the field nature of gravitation interaction, both for the fundamental interaction of particles and the topology of space time, a method is proposed to produce and detect a dynamical…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Bruno Ferretti

Active visual perception refers to the ability of a system to dynamically engage with its environment through sensing and action, allowing it to modify its behavior in response to specific goals or uncertainties. Unlike passive systems that…

Computer Vision and Pattern Recognition · Computer Science 2025-12-04 Yian Li , Xiaoyu Guo , Hao Zhang , Shuiwang Li , Xiaowei Dai
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