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This article explores the concept of technological singularity and the factors that could accelerate or hinder its arrival. The butterfly effect is used as a framework to understand how seemingly small changes in complex systems can have…

Computers and Society · Computer Science 2025-03-11 Hooman Shababi

Ecosystems, which are intricate amalgams of biological communities and their surrounding environments, continually evolve under the influence of their myriad interactions. The world is currently facing intensifying environmental…

Biological Physics · Physics 2023-11-23 Ikumi Kobayashi

Accelerating climate-tech innovation in the formative stage of the technology life cycle is crucial to meeting climate policy goals. During this period, competing technologies are often undergoing major technical improvements within a…

General Finance · Quantitative Finance 2025-06-03 Zachary H. Thomas , Ellen D. Williams , Kavita Surana , Morgan R. Edwards

We investigate a selection-mutation model for the dynamics of technological innovation,a special case of reaction-diffusion equations. Although mutations are assumed to increase the variety of technologies, not their average success…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing , Martin Treiber , Nicole J. Saam

Economic transformation -- change in what an economy produces -- is foundational to development and rising standards of living. Our understanding of this process has been propelled recently by two branches of work in the field of economic…

Physics and Society · Physics 2023-03-28 James McNerney , Yang Li , Andres Gomez-Lievano , Frank Neffke

Bitcoin represents one of the most interesting technological breakthroughs and socio-economic experiments of the last decades. In this paper, we examine the role of speculative bubbles in the process of Bitcoin's technological adoption by…

Computers and Society · Computer Science 2020-05-15 Tobias A. Huber , Didier Sornette

Despite dramatic growth and cost improvements in renewables, existing energy companies exhibit significant inertia in adapting to the evolving technological landscape. This study examines technology transition patterns by analyzing over…

General Economics · Economics 2024-12-17 Anton Pichler

Models on innovation, for the most part, do not include a comprehensive and end-to-end view. Most innovation policy attention seems to be focused on the capacity to innovate and on input factors such as R&D investment, scientific…

General Economics · Economics 2021-06-30 Robert M Yawson

Noise-induced phase transitions are common in various complex systems, from physics to biology. In this article, we investigate the emergence of crucial events in noise-induced phase transition processes and their potential significance for…

Data Analysis, Statistics and Probability · Physics 2023-06-28 Jacob D. Baxley , David R. Lambert , Mauro Bologna , Bruce J. West , Paolo Grigolini

Advancements in digital technologies have a bootstrapping effect. The past fifty years of technological innovations from the computer architecture community have brought innovations and orders-of-magnitude efficiency improvements that…

Computers and Society · Computer Science 2021-08-17 Carole-Jean Wu , Srilatha Manne , Parthasarathy Ranganathan , Sarah Bird , Shane Greenstein

Nonlinear dynamical systems may be exposed to tipping points, critical thresholds at which small changes in the external inputs or in the systems parameters abruptly shift the system to an alternative state with a contrasting dynamical…

Chaotic Dynamics · Physics 2016-10-07 Everton S. Medeiros , Iberê L. Caldas , Murilo S. Baptista , Ulrike Feudel

The concept of random dynamical system is a comparatively recent development combining ideas and methods from the well developed areas of probability theory and dynamical systems. Due to our inaccurate knowledge of the particular physical…

Dynamical Systems · Mathematics 2007-05-23 Vitor Araujo

The growth of business firms is an example of a system of complex interacting units that resembles complex interacting systems in nature such as earthquakes. Remarkably, work in econophysics has provided evidence that the statistical…

Statistical Finance · Quantitative Finance 2019-01-30 Nathan C. Frey , Sakib Matin , H. Eugene Stanley , Michael Salinger

Geometric evolution represents a fundamental aspect of many physical phenomena. In this paper we consider the geometric evolution of structures that undergo topological changes. Topological changes occur when the shape of an object evolves…

Soft Condensed Matter · Physics 2019-06-11 James E. McClure , Steffen Berg , Ryan T. Armstrong

Innovation and obsolescence describe the dynamics of ever-churning social and biological systems, from the development of economic markets to scientific and technological progress to biological evolution. They have been widely discussed,…

In the scientific literature, the term emergent phenomena is invoked in the context of a collective behavior observed in a complex adaptive system that exhibits no correspondence with the behavior of the system constituents. Although this…

Physics and Society · Physics 2021-06-29 Nitish Kumar Gupta , A. M. Jayannavar

We analyse the autocatalytic structure of technological networks and evaluate its significance for the dynamics of innovation patenting. To this aim, we define a directed network of technological fields based on the International Patents…

General Economics · Economics 2019-09-10 Lorenzo Napolitano , Evangelos Evangelou , Emanuele Pugliese , Paolo Zeppini , Graham Room

Innovation or the creation and diffusion of new material, social and cultural things in society has been widely studied in sociology and across the social sciences, with investigations sufficiently diverse and dispersed to make them…

Physics and Society · Physics 2022-10-20 Likun Cao , Ziwen Chen , James Evans

We explore the nonlinear dynamics of a macroeconomic model with resource constraints. The dynamics is derived from a production function that considers capital and a generalized form of energy as inputs. Energy, the new variable, is…

Theoretical Economics · Economics 2024-08-30 Frank Schweitzer , Giona Casiraghi

We explore phenomenological consequences of coupling a non-conformal scale-invariant theory to the standard model. We point out that, under certain circumstances, non-conformal scale-invariant theories have oscillating correlation functions…

High Energy Physics - Theory · Physics 2012-03-07 Jean-François Fortin , Benjamin Grinstein , Andreas Stergiou
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