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This paper presents a novel approach to understanding the role of harmonic dynamics and gaining a deeper appreciation for its impact within and outside of quantum mechanics. This includes consequences of harmonic dynamics and the…

Quantum Physics · Physics 2021-11-22 Donald J. Kouri , Caleb Broodo , Bernhard G. Bodmann , Cameron L. Williams

The character of critical behavior in physical systems depends on the range of interactions. In the limit of infinite range of the interactions, systems will exhibit mean-field critical behavior, i.e., critical behavior not affected by…

Statistical Mechanics · Physics 2014-06-11 Young C. Kim , Mikhail A. Anisimov , Jan V. Sengers , Erik Luijten

Pair interactions between active particles need not follow Newton's third law. In this work we propose a continuum model of pattern formation due to non-reciprocal interaction between multiple species of scalar active matter. The classical…

Statistical Mechanics · Physics 2020-10-21 Suropriya Saha , Jaime Agudo-Canalejo , Ramin Golestanian

The contact process is a non-equilibrium Hamiltonian model that, even in one dimension, lacks an exact solution and has been extensively studied via Monte Carlo simulations, both in steady-state and time-dependent scenarios. Although the…

Statistical Mechanics · Physics 2025-04-15 Roberto da Silva , Eliseu Venites Filho , Henrique Almeida Fernandes , Paulo F. Gomes

Neural dynamical systems with stable attractor structures, such as point attractors and continuous attractors, are hypothesized to underlie meaningful temporal behavior that requires working memory. However, working memory may not support…

Neurons and Cognition · Quantitative Biology 2023-08-25 Il Memming Park , Ábel Ságodi , Piotr Aleksander Sokół

We investigate a model of high-dimensional dynamical variables with all-to-all interactions that are random and non-reciprocal. We characterize its phase diagram and show that the model can exhibit chaotic dynamics. We show that the…

Disordered Systems and Neural Networks · Physics 2025-12-15 Samantha J. Fournier , Alessandro Pacco , Valentina Ros , Pierfrancesco Urbani

We propose a model of the speech perception of individual words in the presence of mishearings. This phenomenological approach is based on concepts used in linguistics, and provides a formalism that is universal across languages. We put…

Computation and Language · Computer Science 2020-10-19 Anita Mehta , Jean-Marc Luck

In this paper we present a pilot study which investigates how non-verbal behavior affects social influence in social robots. We also present a modular system which is capable of controlling the non-verbal behavior based on the…

Robotics · Computer Science 2021-09-06 Patrik Jonell , Anna Deichler , Ilaria Torre , Iolanda Leite , Jonas Beskow

A fundamental challenge in opinion dynamics research is the scarcity of real-world longitudinal opinion data, which complicates the validation of theoretical models. To address this, we propose a novel simulation framework using large…

Computer Science and Game Theory · Computer Science 2026-02-16 Yulong He , Dutao Zhang , Sergey Kovalchuk , Pengyi Li , Artem Sedakov

Language models are increasingly deployed in interactive online environments, from personal chat assistants to domain-specific agents, raising questions about their cooperative and competitive behavior in multi-party settings. While prior…

Artificial Intelligence · Computer Science 2025-09-08 Mukul Singh , Arjun Radhakrishna , Sumit Gulwani

We consider a kinetic model of opinion dynamics known as the Biswas-Chatterjee-Sen model with a modular interaction structure. The system consists of two groups of agents that feature more frequent interactions within each group and rarer…

Physics and Society · Physics 2024-11-28 Krzysztof Suchecki , Kathakali Biswas , Janusz A. Hołyst , Parongama Sen

We consider the stochastic patterns of a system of communicating, or coupled, self-propelled particles in the presence of noise and communication time delay. For sufficiently large environmental noise, there exists a transition between a…

Adaptation and Self-Organizing Systems · Physics 2012-04-23 Luis Mier-y-Teran-Romero , Eric Forgoston , Ira B. Schwartz

Humans convey their intentions through the usage of both verbal and nonverbal behaviors during face-to-face communication. Speaker intentions often vary dynamically depending on different nonverbal contexts, such as vocal patterns and…

Computation and Language · Computer Science 2018-11-27 Yansen Wang , Ying Shen , Zhun Liu , Paul Pu Liang , Amir Zadeh , Louis-Philippe Morency

Large language models can exhibit unexpected behavior in the blink of an eye. In a recent computer use demo, a language model switched from coding to Googling pictures of Yellowstone, and these sudden shifts in behavior have also been…

Machine Learning · Computer Science 2025-06-06 Marvin Li , Aayush Karan , Sitan Chen

The effects of interpersonal interactions on individual's agreements result in a social aggregation process which is reflected in the formation of collective states, as for instance, groups of individuals with a similar opinion about a…

Physics and Society · Physics 2017-02-08 Pablo Balenzuela , Juan Pablo Pinasco , Viktoriya Semeshenko

Human conversation involves continuous exchanges of speech and nonverbal cues such as head nods, gaze shifts, and facial expressions that convey attention and emotion. Modeling these bidirectional dynamics in 3D is essential for building…

Computer Vision and Pattern Recognition · Computer Science 2026-02-27 Junjie Chen , Fei Wang , Zhihao Huang , Qing Zhou , Kun Li , Dan Guo , Linfeng Zhang , Xun Yang

In a standard bifurcation of a dynamical system, the stationary points (or more generally attractors) change qualitatively when varying a control parameter. Here we describe a novel unusual effect, when the change of a parameter, e.g. a…

Populations and Evolution · Quantitative Biology 2017-04-26 V. I. Yukalov , E. P. Yukalova , D. Sornette

Language model representations often contain linear directions that correspond to high-level concepts. Here, we study the dynamics of these representations: how representations evolve along these dimensions within the context of (simulated)…

Computation and Language · Computer Science 2026-02-04 Andrew Kyle Lampinen , Yuxuan Li , Eghbal Hosseini , Sangnie Bhardwaj , Murray Shanahan

A model for continuous-opinion dynamics is proposed and studied by taking advantage of its similarities with a mono-dimensional granular gas. Agents interact as in the Deffuant model, with a parameter $\alpha$ controlling the persuasibility…

Statistical Mechanics · Physics 2021-04-07 Nagi Khalil

Establishing evaluation schemes for spoken dialogue systems is important, but it can also be challenging. While subjective evaluations are commonly used in user experiments, objective evaluations are necessary for research comparison and…

Computation and Language · Computer Science 2024-01-24 Koji Inoue , Divesh Lala , Keiko Ochi , Tatsuya Kawahara , Gabriel Skantze