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This article attempts to place the emergence of probabilistic numerics as a mathematical-statistical research field within its historical context and to explore how its gradual development can be related both to applications and to a modern…

Numerical Analysis · Mathematics 2024-12-20 C. J. Oates , T. J. Sullivan

EC paper authors form a complex network of co-authorship which is, by itself, a example of an evolving system with its own rules, concept of fitness, and patterns of attachment. In this paper we explore the network of authors of…

Physics and Society · Physics 2007-05-23 Carlos Cotta , Juan J. Merelo

Empirical studies of graphs have contributed enormously to our understanding of complex systems. Known today as network science, what was originally a theoretical study of graphs has grown into a more scientific exploration of communities…

Quantitative Methods · Quantitative Biology 2020-01-01 Ryan E. Langendorf , Debra S. Goldberg

Using data from computer databases of scientific papers in physics, biomedical research, and computer science, we have constructed networks of collaboration between scientists in each of these disciplines. In these networks two scientists…

Statistical Mechanics · Physics 2009-10-31 M. E. J. Newman

This special issue collects contributions from the participants of the "Information in Dynamical Systems and Complex Systems" workshop, which cover a wide range of important problems and new approaches that lie in the intersection of…

Chaotic Dynamics · Physics 2015-05-19 Erik M. Bollt , Jie Sun

Communication networks, in general, and internet technology, in particular, is a fast-evolving area of research. While it is important to keep track of emerging trends in this domain, it is such a fast-growing area that it can be very…

Digital Libraries · Computer Science 2017-08-03 Bisma S. Khan , Muaz A. Niazi

Software design impacts much of statistical analysis and, as technology changes, dramatically so in recent years, it is exciting to learn how statistical software is adapting and changing. This leads to the collection of papers published…

Methodology · Statistics 2014-10-01 Vincent Carey , Dianne Cook

This text is based on a translation of a chapter in a handbook about network analysis (published in German) where we tried to make beginners familiar with some basic notions and recent developments of network analysis applied to…

Digital Libraries · Computer Science 2012-12-21 Frank Havemann , Andrea Scharnhorst

Throughout history, a relatively small number of individuals have made a profound and lasting impact on science and society. Despite long-standing, multi-disciplinary interests in understanding careers of elite scientists, there have been…

Digital Libraries · Computer Science 2020-05-26 Jichao Li , Yian Yin , Santo Fortunato , Dashun Wang

In these notes we give an introductory unified treatment to the topics of special relativity, Lorentz transformations and the Lorentz group, Einstein velocitiy addition, and gyrogroups and gyrovector spaces. An effort has been made to…

Popular Physics · Physics 2022-02-17 Jimmie D. Lawson

I present some reminiscences, both personal and scientific, over a lifetime of admiration of, and friendship with, one of the Grandmasters of our subject.

History and Philosophy of Physics · Physics 2020-01-09 S. Deser

The rapid growth of information in the field of Generative Artificial Intelligence (AI), particularly in the subfields of Natural Language Processing (NLP) and Machine Learning (ML), presents a significant challenge for researchers and…

Computers and Society · Computer Science 2023-08-15 Steffen Eger , Christoph Leiter , Jonas Belouadi , Ran Zhang , Aida Kostikova , Daniil Larionov , Yanran Chen , Vivian Fresen

In this paper, we present the results of the study on the development of social network analysis (SNA) discipline and its evolution over time, using the analysis of bibliographic networks. The dataset consists of articles from the Web of…

Physics and Society · Physics 2020-02-06 Daria Maltseva , Vladimir Batagelj

Link prediction in complex networks has attracted considerable attention from interdisciplinary research communities, due to its ubiquitous applications in biological networks, social networks, transportation networks, telecommunication…

Social and Information Networks · Computer Science 2020-12-22 Ece C. Mutlu , Toktam A. Oghaz , Amirarsalan Rajabi , Ivan Garibay

This small text was written for the AMS Notices. It is a survey of integrality properties of complex local systems, where I tried to single out one example which is not entirely explicit in the literature. The focus is on the obstruction it…

Algebraic Geometry · Mathematics 2023-08-17 Hélène Esnault

The development of Econophysics is studied from the perspective of scientific communication networks. Papers in Econophysics published from 1992 to 2003 are collected. Then a weighted and directed network of scientific communication,…

Soft Condensed Matter · Physics 2007-05-23 Ying Fan , Menghui Li , Jiawei Chen , Liang Gao , Zengru Di , Jinshan Wu

I try to describe the extremely fruitful interaction I had with Harry Lehmann and the results which came out of the analyticity unitarity programme, especially the proof of the Froissart bound, which, with recent and future measurements of…

High Energy Physics - Phenomenology · Physics 2011-07-19 A. Martin

One of the major themes of random matrix theory is that many asymptotic properties of traditionally studied distributions of random matrices are universal. We probe the edges of universality by studying the spectral properties of random…

Probability · Mathematics 2014-06-30 Tobias Johnson

This review article is the second part of the project ``Selected Topics of Social Physics". The first part has been devoted to equilibrium systems. The present part considers nonequilibrium systems. The style of the paper combines the…

Populations and Evolution · Quantitative Biology 2023-07-22 V. I. Yukalov

Scholarly impact may be metricized using an author's total number of citations as a stand-in for real worth, but this measure varies in applicability between disciplines. The detail of the number of citations per publication is nowadays…

Digital Libraries · Computer Science 2018-09-06 Peter T. Breuer , Jonathan P. Bowen