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Ant species such as Temnothorax albipennis select a new nest site in a distributed fashion that, if modeled correctly, can serve as useful information for site selection algorithms for robotic swarms and other applications. Studying and…

Multiagent Systems · Computer Science 2021-06-15 Grace Cai , Wendy Wu , Wayne Zhao , Jiajia Zhao , Nancy Lynch

The ants process is a stochastic process introduced by Kious, Mailler and Schapira as a model for the phenomenon of ants finding shortest paths between their nest and a source of food (seen as two marked nodes in a finite graph), with no…

Probability · Mathematics 2026-02-02 Cécile Mailler , Zoé Varin

Models for the behavior of ants and pedestrians are studied in an unified way in this paper. Each ant follows pheromone put by preceding ants, hence creating a trail on the ground, while pedestrians also try to follow others in a crowd for…

Statistical Mechanics · Physics 2009-11-13 Katsuhiro Nishinari , Ken Sugawara , Toshiya Kazama , Andreas Schadschneider , Debashish Chowdhury

The automaton known as `Langton's ant' exhibits a dynamical transition from a disordered phase to an ordered phase where the particle dynamics (the ant) produces a regular periodic pattern (called `highway'). Despite the simplicity of its…

Statistical Mechanics · Physics 2007-05-23 Jean Pierre Boon

Generically, in models of driven interacting particles the average speed of the particles decreases monotonically with increasing density. We propose a counter-example, motivated by the motion of ants in a trail, where the average speed of…

Statistical Mechanics · Physics 2007-05-23 Debashish Chowdhury , Vishwesha Guttal , Katsuhiro Nishinari , Andreas Schadschneider

Pure exploration in bandits formalises multiple real-world problems, such as tuning hyper-parameters or conducting user studies to test a set of items, where different safety, resource, and fairness constraints on the decision space…

Machine Learning · Computer Science 2026-02-05 Udvas Das , Debabrota Basu

We present two generalised ants (LLRRRL and LLRLRLL) which admit both highway behaviours and other kinds of emergent behaviours from initially finite configurations. This limits the well known Highway conjecture on Langton's ant as it shows…

Discrete Mathematics · Computer Science 2025-05-09 Victor Lutfalla

Active walker models have recently proved their great value for describing the formation of clusters, periodic patterns, and spiral waves as well as the development of rivers, dielectric breakdown patterns, and many other structures. It is…

Statistical Mechanics · Physics 2009-10-31 Dirk Helbing , Frank Schweitzer , Joachim Keltsch , Peter Molnar

Given the rapid proliferation of advanced information technologies, including the Internet, modern humans can easily access vast amount of socially transmitted information. Intuitively, this situation is isomorphic to some eusocial insects…

Social and Information Networks · Computer Science 2014-07-01 Wataru Toyokawa , Hye-rin Kim , Tatsuya Kameda

We document a sequence of bifurcations and elastic patterns in sheared bent sheets of intermediate aspect ratio. The sheets undergo inversion of curvature through the passage of localized features, often in S-shaped pairs. Nested…

Soft Condensed Matter · Physics 2026-02-18 D. Gimeno , B. K. Meghwar , G. Fisher , R. S. Hutton , E. Hamm , J. A. Hanna

We consider a continuous mathematical description of a population of ants and simulate numerically their foraging behavior using a system of partial differential equations of chemotaxis type. We show that this system accurately reproduces…

Adaptation and Self-Organizing Systems · Physics 2015-10-26 Paulo Amorim

We propose two modeling approaches to describe the dynamics of ant battles, starting from laboratory experiments on the behavior of two ant species, the invasive Lasius neglectus and the authocthonus Lasius paralienus. This work is mainly…

Populations and Evolution · Quantitative Biology 2015-03-23 Gianluca Martelloni , Alisa Santarlasci , Franco Bagnoli , Giacomo Santini

This paper presents a detailed characterization of the trajectory of a single housefly with free range of a square cage. The trajectory of the fly was recorded and transformed into a time series, which was fully analyzed using an…

Data Analysis, Statistics and Probability · Physics 2009-09-29 Hisanao Takahashi , Naoto Horibe , Masakazu Shimada , Takashi Ikegami

The piecewise-stationary bandit problem is an important variant of the multi-armed bandit problem that further considers abrupt changes in the reward distributions. The main theme of the problem is the trade-off between exploration for…

Machine Learning · Computer Science 2024-10-10 Kuan-Ta Li , Ping-Chun Hsieh , Yu-Chih Huang

It is well-known in biology that ants are able to find shortest paths between their nest and the food by successive random explorations, without any mean of communication other than the pheromones they leave behind them. This striking…

Probability · Mathematics 2020-10-13 Daniel Kious , Cécile Mailler , Bruno Schapira

Limbless organisms such as snakes can navigate nearly all terrain. In particular, desert-dwelling sidewinder rattlesnakes (Crotalus cerastes) operate effectively on inclined granular media (such as sand dunes) that induce failure in…

Switching interacting particle systems studied in probability theory are the stochastic processes of hopping particles on a lattice made up of slow and fast particles, where the switching between these types of particles occurs randomly at…

Statistical Mechanics · Physics 2024-05-14 Ayana Ezoe , Saori Morimoto , Yuya Tanaka , Makoto Katori , Hiraku Nishimori

We study a bandit problem where observations from each arm have an exponential family distribution and different arms are assigned independent conjugate priors. At each of n stages, one arm is to be selected based on past observations. The…

Statistics Theory · Mathematics 2011-03-29 Yaming Yu

Braess's paradox -- where adding network capacity increases travel time -- is typically attributed to selfish agents. Although eusocial colonies maximize collective fitness, we find experimentally that \emph{Diacamma indicum} ants exhibit…

Biological Physics · Physics 2026-04-01 Joy Das Bairagya , Udipta Chakraborti , Sumana Annagiri , Sagar Chakraborty

A colony of the queenless ant species, \emph{Pristomyrmex punctatus}, can broadly be seen as consisting of small-body sized worker ants and relatively larger body-sized cheater ants. Hence, in the presence of inter-colony migration, a set…

Populations and Evolution · Quantitative Biology 2026-03-03 Joy Das Bairagya , Sagar Chakraborty