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Mass redistribution on Earth due to dynamic processes such as ice melting and sea level rise leads to a changing gravitational field, observable by geodetic techniques. Monitoring this change over time allows us to learn more about our…

General Relativity and Quantum Cosmology · Physics 2025-03-13 Eva Hackmann , Moritz Huckfeldt , Claus Lämmerzahl , Dennis Philipp , Benny Rievers

The combination of the network theoretic approach with recently available abundant economic data leads to the development of novel analytic and computational tools for modelling and forecasting key economic indicators. The main idea is to…

General Finance · Quantitative Finance 2014-03-05 Andreas Joseph , Irena Vodenska , Eugene Stanley , Guanrong Chen

We consider extensive data on Spanish international trades and population composition and, through statistical-mechanics and graph-theory driven analysis, we unveil that the social network made of native and foreign-born individuals plays a…

Physics and Society · Physics 2016-02-02 Elena Agliari , Adriano Barra , Andrea Galluzzi , Francisco Requena-Silvente , Daniele Tantari

Trajectory data mining is crucial for smart city management. However, collecting large-scale trajectory datasets is challenging due to factors such as commercial conflicts and privacy regulations. Therefore, we urgently need trajectory…

Machine Learning · Computer Science 2025-02-04 Jingyuan Wang , Yujing Lin , Yudong Li

For a given graph $\mathcal{G}$ of order $n$ with $m$ edges, and a real symmetric matrix associated to the graph, $M\left(\mathcal{G}\right)\in\mathbb{R}^{n\times n}$, the interlacing graph reduction problem is to find a graph…

Spectral Theory · Mathematics 2020-08-11 Noam Leiter , Daniel Zelazo

Consider an exchange mechanism which accepts diversified offers of various commodities and redistributes everything it receives. We impose certain conditions of fairness and convenience on such a mechanism and show that it admits unique…

Computer Science and Game Theory · Computer Science 2024-09-24 Pradeep Dubey , Siddhartha Sahi , Martin Shubik

In the globalized economic world, it has become important to understand the purpose behind infrastructural and construction initiatives occurring within developing regions of the earth. This is critical when the financing for such projects…

Computer Vision and Pattern Recognition · Computer Science 2020-09-02 Kyle McCullough , Andrew Feng , Meida Chen , Ryan McAlinden

We explore the relationship between human migration and OECD's foreign direct investment (FDI) using a gravity equation enriched with variables that account for complex-network effects. Based on a panel data analysis, we find a strong…

Physics and Society · Physics 2017-01-27 Antonios Garas , Athanasios Lapatinas , Konstantinos Poulios

Two network measures known as the Economic Complexity Index (ECI) and Product Complexity Index (PCI) have provided important insights into patterns of economic development. We show that the ECI and PCI are equivalent to a spectral…

Economics · Quantitative Finance 2021-10-05 Penny Mealy , J. Doyne Farmer , Alexander Teytelboym

In this paper a new Geophysical gravimetry approach is presented, which is based on satellite imagery in remote sensing. The method uses a satellite image, together with a set of points in the image the gravity values of which are known.…

Geophysics · Physics 2020-03-23 M. Kiani

Growth rate of real GDP per capita, GDPpc, is represented as a sum of two components, a monotonically decreasing economic trend and fluctuations related to population change. The economic trend is modelled by an inverse function of GDPpc…

General Economics · Economics 2021-03-23 Ivan Kitov

Let $G$ be a connected graph with $V(G)=\{1,\dotsc,n\}$. Then the resistance distance between any two vertices $i$ and $j$ is given by $r_{ij}:=l_{ii}^{\dag} + l_{jj}^{\dag}-2 l_{ij}^{\dag}$, where $l_{ij}^\dag$ is the $(i,j)^{\rm th}$…

Combinatorics · Mathematics 2021-11-04 R. Balaji , R. B. Bapat , Shivani Goel

We develop a novel approach to gravity that we call `matrix general relativity' (MGR) or `gravitational chromodynamics' (GCD or GQCD for quantum version). Gravity is described in this approach not by one Riemannian metric (i.e. a symmetric…

High Energy Physics - Theory · Physics 2011-03-31 Ivan G. Avramidi

This work considers the problem of computing distances between structured objects such as undirected graphs, seen as probability distributions in a specific metric space. We consider a new transportation distance (i.e. that minimizes a…

Machine Learning · Statistics 2019-05-14 Titouan Vayer , Laetitia Chapel , Rémi Flamary , Romain Tavenard , Nicolas Courty

The conventional concept of geographical space is mainly referred to actual space based on landscape, maps, and remote sensing images. However, this notion of space is not enough to interpret different types of fractal dimension of cities.…

Physics and Society · Physics 2023-08-09 Yanguang Chen

Understanding human mobility is crucial for applications such as forecasting epidemic spreading, planning transport infrastructure and urbanism in general. While, traditionally, mobility information has been collected via surveys, the…

Physics and Society · Physics 2019-09-02 Mattia Mazzoli , Alex Molas , Aleix Bassolas , Maxime Lenormand , Pere Colet , Jose J. Ramasco

The taxation of multi-national companies is a complex field, since it is influenced by the legislation of several states. Laws in different states may have unforeseen interaction effects, which can be exploited by allowing multinational…

Artificial Intelligence · Computer Science 2020-10-19 Niklas Lüdemann , Ageda Shiba , Nikolaos Thymianis , Nicolas Heist , Christopher Ludwig , Heiko Paulheim

Predicting the supply and demand of transport systems is vital for efficient traffic management, control, optimization, and planning. For example, predicting where from/to and when people intend to travel by taxi can support fleet managers…

Machine Learning · Computer Science 2022-01-26 Mathias Niemann Tygesen , Francisco C. Pereira , Filipe Rodrigues

Let $G$ be a connected simple graph with $n$ vertices. The distance Laplacian matrix $D^{L}(G)$ is defined as $D^L(G)=Diag(Tr)-D(G)$, where $Diag(Tr)$ is the diagonal matrix of vertex transmissions and $D(G)$ is the distance matrix of $G$.…

Combinatorics · Mathematics 2022-02-18 Saleem Khan , S. Pirzada

Recent availability of geo-localized data capturing individual human activity together with the statistical data on international migration opened up unprecedented opportunities for a study on global mobility. In this paper we consider it…

Social and Information Networks · Computer Science 2016-01-22 Alexander Belyi , Iva Bojic , Stanislav Sobolevsky , Izabela Sitko , Bartosz Hawelka , Lada Rudikova , Alexander Kurbatski , Carlo Ratti