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Theories for reasoning about programs with effects initially focused on basic manipulation of lists and other mutable data. The next challenge was to consider higher-order programming, adding functions as first class objects to mutable…

Programming Languages · Computer Science 2023-06-22 Ian A. Mason , Carolyn L. Talcott

Complex numbers play a crucial role in quantum mechanics. However, their necessity remains debated: whether they are fundamental or merely convenient. Recently, it was claimed that quantum mechanics based on real numbers can be…

Traditionally, AI has been modeled within economics as a technology that impacts payoffs by reducing costs or refining information for human agents. Our position is that, in light of recent advances in generative AI, it is increasingly…

Theoretical Economics · Economics 2024-06-04 Nicole Immorlica , Brendan Lucier , Aleksandrs Slivkins

Chaos is generic in strongly-coupled recurrent networks of model neurons, and thought to be an easily accessible dynamical regime in the brain. While neural chaos is typically seen as an impediment to robust computation, we show how such…

Neurons and Cognition · Quantitative Biology 2024-09-30 Rishidev Chaudhuri , Vivek Handebagh

The presence of physical systems whose characteristics change in a seemingly erratic manner gives rise to the study of chaotic systems. The characteristics of these systems are due to their hypersensitivity to changes in initial conditions.…

Chaotic Dynamics · Physics 2013-06-06 Louis Ehwerhemuepha , Godfrey E. Akpojotor

Agent-based models provide a flexible framework that is frequently used for modelling many biological systems, including cell migration, molecular dynamics, ecology, and epidemiology. Analysis of the model dynamics can be challenging due to…

Dynamical Systems · Mathematics 2021-04-28 John T. Nardini , Ruth E. Baker , Matthew J. Simpson , Kevin B. Flores

Agent-based modeling and network science have been used extensively to advance our understanding of emergent collective behavior in systems that are composed of a large number of simple interacting individuals or agents. With the increasing…

Multiagent Systems · Computer Science 2019-03-14 Marcos Cardinot , Colm O'Riordan , Josephine Griffith , Matjaž Perc

Numerical simulations have become an important tool to understand and predict non-perturbative phenomena in particle physics. In this article we attempt to present a general overview over the field. First, the basic concepts of lattice…

High Energy Physics - Lattice · Physics 2010-12-17 F. Karsch , E. Laermann

Agent-based models, particularly those applied to financial markets, demonstrate the ability to produce realistic, simulated system dynamics, comparable to those observed in empirical investigations. Despite this, they remain fairly…

Computational Finance · Quantitative Finance 2017-03-24 Donovan Platt , Tim Gebbie

Individual traffic significantly contributes to climate change and environmental degradation. Therefore, innovation in sustainable mobility is gaining importance as it helps to reduce environmental pollution. However, effects of new ideas…

Multiagent Systems · Computer Science 2021-11-16 Johannes Nguyen , Simon T. Powers , Neil Urquhart , Thomas Farrenkopf , Michael Guckert

Complex scheduling problems require a large amount computation power and innovative solution methods. The objective of this paper is the conception and implementation of a multi-agent system that is applicable in various problem domains.…

Multiagent Systems · Computer Science 2020-04-21 Peter Hillmann , Tobias Uhlig , Gabi Dreo Rodosek , Oliver Rose

The truly chaotic finite machines introduced by authors in previous research papers are presented here. A state of the art in this discipline, encompassing all previous mathematical investigations, is provided, explaining how finite state…

Cryptography and Security · Computer Science 2017-08-17 Christophe Guyeux , Qianxue Wang , Xiole Fang , Jacques Bahi

In various fields of natural science, the chaotic systems of differential equations are considered more than 50 years. The correct prediction of the behaviour of solutions of dynamical model equations is important in understanding of…

Dynamical Systems · Mathematics 2020-11-24 Alexander N. Pchelintsev

Agent-Based Models (ABMs) are often used to model migration and are increasingly used to simulate individual migrant decision-making and unfolding events through a sequence of heuristic if-then rules. However, ABMs lack the methods to embed…

Applications · Statistics 2021-11-09 Peter Strong , Alys McAlpine , Jim Q Smith

Chaotic dynamics have emerged as a versatile resource for neuromorphic and probabilistic computing, enabling high-dimensional nonlinear processing and classical analogues of quantum randomness. Exploiting chaos for computation requires…

Chaotic Dynamics · Physics 2026-05-20 Jungyoon Kim , Kyuho Kim , Kunwoo Park , Namkyoo Park , Sunkyu Yu

It is well known that chaotic dynamic systems (such as three-body system, turbulent flow and so on) have the sensitive dependance on initial conditions (SDIC). Unfortunately, numerical noises (such as truncation error and round-off error)…

Chaotic Dynamics · Physics 2016-09-30 Xiaoming Li , Shijun Liao

The advent of artificial intelligence has led to a growing emphasis on data-driven modeling in macroeconomics, with agent-based modeling (ABM) emerging as a prominent bottom-up simulation paradigm. In ABM, agents (e.g., households, firms)…

Artificial Intelligence · Computer Science 2024-05-27 Nian Li , Chen Gao , Mingyu Li , Yong Li , Qingmin Liao

Quantum chaos is central to understanding quantum dynamics and is crucial for generating random quantum states, a key resource for quantum information tasks. In this work, we introduce a new class of quantum many-body dynamics, termed…

Quantum Physics · Physics 2025-07-25 Wonjun Lee , Hyukjoon Kwon , Gil Young Cho

Agent-based models have emerged as a promising paradigm for addressing ever increasing complexity of information systems. In its initial days in the 1990s when object-oriented modeling was at its peak, an agent was treated as a special kind…

Artificial Intelligence · Computer Science 2021-12-13 Srinath Srinivasa , Jayati Deshmukh

Some agent-based models for growth and allocation of resources are described. The first class considered consists of conservative models, where the number of agents and the size of resources are constant during time evolution. The second…

Physics and Society · Physics 2009-11-13 Enrico Scalas , Mauro Gallegati , Eric Guerci , David Mas , Alessandra Tedeschi