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A new type of spatial-temporal correlation in the process approaching to the self-organized criticality is investigated for the two simple models for biological evolution. The change behaviors of the position with minimum barrier are shown…

Biological Physics · Physics 2009-11-06 C. B. Yang , X. Cai , Z. M. Zhou

Unexpected increases in demand and most of all flash crowds are considered the bane of every web application as they may cause intolerable delays or even service unavailability. Proper quality of service policies must guarantee rapid…

Networking and Internet Architecture · Computer Science 2009-01-29 Novella Bartolini , Giancarlo Bongiovanni , Simone Silvestri

Systems that exhibit complex behaviours are often found in a particular dynamical condition, poised between order and disorder. This observation is at the core of the so-called criticality hypothesis, which states that systems in a…

Adaptation and Self-Organizing Systems · Physics 2016-09-19 Andrea Roli , Marco Villani , Alessandro Filisetti , Roberto Serra

A framework for asynchronous, signature free, fully local and probabilistically converging total order algorithms is developed, that may survive in high entropy, unstructured Peer-to-Peer networks with near optimal communication efficiency.…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-18 Mirco Richter

We study a directed stochastic sandpile model of Self-Organized Criticality, which exhibits recurrent, multiple topplings, putting it in a separate universality class from the exactly solved model of Dhar and Ramaswamy. We show that in the…

Statistical Mechanics · Physics 2009-10-31 Maya Paczuski , Kevin E. Bassler

In this paper, we introduce a Markov process whose unique invariant distribution is the Curie-Weiss model of self-organized criticality (SOC) we designed in arXiv:1301.6911. In the Gaussian case, we prove rigorously that it is a dynamical…

Probability · Mathematics 2015-11-17 Matthias Gorny

The brain keeps its overall dynamics in a corridor of intermediate activity and it has been a long standing question what possible mechanism could achieve this task. Mechanisms from the field of statistical physics have long been suggesting…

Disordered Systems and Neural Networks · Physics 2014-10-08 Matthias Rybarsch , Stefan Bornholdt

We show that the generating functions of avalanche observables in SOC models exhibits a Lee-Yang phenomenon. This establishes a new link between the classical theory of critical phenomena and SOC. A scaling theory of the Lee-Yang zeroes is…

Statistical Mechanics · Physics 2009-11-07 B. Cessac , J. L. Meunier

Stochastic Nonlinear Optimal Control (SNOC) involves minimizing a cost function that averages out the random uncertainties affecting the dynamics of nonlinear systems. For tractability reasons, this problem is typically addressed by…

Systems and Control · Electrical Eng. & Systems 2025-03-27 Mahrokh Ghoddousi Boroujeni , Clara Lucía Galimberti , Andreas Krause , Giancarlo Ferrari-Trecate

The hypothesis that living systems can benefit from operating at the vicinity of critical points has gained momentum in recent years. Criticality may confer an optimal balance between exceedingly ordered and too noisy states. We here…

Populations and Evolution · Quantitative Biology 2016-03-23 Jorge Hidalgo , Jacopo Grilli , Samir Suweis , Amos Maritan , Miguel A. Munoz

Stochastic Optimal Control (SOC) typically considers noise only in the process model, i.e. unknown disturbances. However, in many robotic applications involving interaction with the environment, such as locomotion and manipulation,…

Systems and Control · Computer Science 2021-06-08 Brahayam Ponton , Stefan Schaal , Ludovic Righetti

The self-organized critical state is characterized by a power law distribution of cluster sizes and other properties. However experiments with sand and rice piles reveal distributions of avalanche sizes which are not power law distributed.…

Condensed Matter · Physics 2007-05-23 A. Vazquez , O. Sotolongo-Costa

Socio-technical systems, where technological and human elements interact in a goal-oriented manner, provide important functional support to our societies. Here we draw attention to the underappreciated concept of timeliness -- i.e., system…

Physics and Society · Physics 2025-02-27 José Moran , Frank P. Pijpers , Utz Weitzel , Jean-Philippe Bouchaud , Debabrata Panja

We show that the Deterministic Lattice Gas (DLG) (Phys. Rev. Lett. 26, 3103 (1990)) model of Self-Organized Criticality (SOC) despite of its deterministic micro dynamics belongs to the Manna universality class of absorbing state phase…

Statistical Mechanics · Physics 2011-10-13 Andrea Giometto , Henrik Jeldtoft Jensen

Certain systems with slow driving and avalanche-like dissipation events are naturally close to a critical point when the ratio of two energy scales is large. The first energy scale is the threshold above which an avalanche is triggered, the…

Statistical Mechanics · Physics 2015-06-25 Barbara Drossel

We describe a new phenomenon in quantum cosmology: self-organised localisation. When the fundamental parameters of a theory are functions of a scalar field subject to large fluctuations during inflation, quantum phase transitions can act as…

High Energy Physics - Phenomenology · Physics 2021-10-27 Gian F. Giudice , Matthew McCullough , Tevong You

Autonomous driving has made significant progress in both academia and industry, including performance improvements in perception task and the development of end-to-end autonomous driving systems. However, the safety and robustness…

Robotics · Computer Science 2025-04-08 Jingzheng Li , Xianglong Liu , Shikui Wei , Zhijun Chen , Bing Li , Qing Guo , Xianqi Yang , Yanjun Pu , Jiakai Wang

The unreduced, universally nonperturbative analysis of arbitrary many-body interaction process reveals the irreducible, purely dynamic source of randomness. It leads to the universal definition of real system complexity (physics/9806002),…

General Physics · Physics 2007-05-23 Andrei P. Kirilyuk

We revisit the topic of self-organized criticality (SOC) in simple statistical graph models, with the purpose of capturing essential processes leading to the emergence of macroscopic spacetime from the microscopic dynamics in loop quantum…

General Relativity and Quantum Cosmology · Physics 2021-09-14 Christine C. Dantas

Self-Organized Criticality (SOC) phenomena could have a significant effect on the dynamics of ecosystems. The Bak-Sneppen (BS) model is a simple and robust model of biological evolution that exhibits punctuated equilibrium behavior. Here we…

Adaptation and Self-Organizing Systems · Physics 2009-11-10 E. Ahmed , M. F. Elettreby