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Financial and economic history is strewn with bubbles and crashes, booms and busts, crises and upheavals of all sorts. Understanding the origin of these events is arguably one of the most important problems in economic theory. In this…

Statistical Mechanics · Physics 2015-06-11 Jean-Philippe Bouchaud

When real networks are considered, coupled networks with connectivity and feedback-dependency links are not rare but more general. Here we develop a mathematical framework and study numerically and analytically percolation of interacting…

Physics and Society · Physics 2013-10-08 Gaogao Dong , Lixin Tian , Ruijin Du , Min Fu , H. Eugene Stanley

Weighted reciprocity between two agents can be defined as the minimum of sending and receiving value in their bilateral relationship. In financial networks, such reciprocity characterizes the importance of individual banks as both liquidity…

Computational Finance · Quantitative Finance 2024-12-16 Lutz Honvehlmann

This paper investigates the time-varying impacts of international macroeconomic uncertainty shocks. We use a global vector autoregressive specification with drifting coefficients and factor stochastic volatility in the errors to model six…

Econometrics · Economics 2019-12-18 Michael Pfarrhofer

The paper proposes a framework for modeling and analysis of the dynamics of supply, demand, and clearing prices in power system with real-time retail pricing and information asymmetry. Real-time retail pricing is characterized by passing on…

Systems and Control · Computer Science 2011-06-08 Mardavij Roozbehani , Munther A Dahleh , Sanjoy K Mitter

This work studies mean-square stabilizability via output feedback for a networked linear time invariant (LTI) feedback system with a non-minimum phase plant. In the feedback system, the control signals are transmitted to the plant over a…

Systems and Control · Computer Science 2018-10-31 Weizhou Su , Jieying Lu , Yilin Wu , Minyue Fu , Jie Chen

In this paper, a mathematically rigorous solution overturns existing wisdom regarding New Keynesian Dynamic Stochastic General Equilibrium. I develop a formal concept of stochastic equilibrium. I prove uniqueness and necessity, when agents…

Theoretical Economics · Economics 2024-06-04 David Staines

Hybrid Inflation is a two-field model where inflation ends by a tachyonic instability, the duration of which is determined by stochastic effects and has important observational implications. Making use of the recursive approach to the…

High Energy Physics - Theory · Physics 2013-11-13 Laurence Perreault Levasseur , Vincent Vennin , Robert Brandenberger

We study collective self-organization of weakly magnetic active suspensions in a uniform external field by analyzing a mesoscopic continuum model that we have recently developed. Our model is based on a Smoluchowski equation for a particle…

Soft Condensed Matter · Physics 2020-10-28 Fabian R. Koessel , Sara Jabbari-Farouji

We combine geometric data analysis and stochastic modeling to describe the collective dynamics of complex systems. As an example we apply this approach to financial data and focus on the non-stationarity of the market correlation structure.…

Statistical Finance · Quantitative Finance 2015-09-30 Yuriy Stepanov , Philip Rinn , Thomas Guhr , Joachim Peinke , Rudi Schäfer

Since the 2007-2009 financial crisis, substantial academic effort has been dedicated to improving our understanding of interbank lending networks (ILNs). Because of data limitations or by choice, the literature largely lacks multiple loan…

General Finance · Quantitative Finance 2019-09-12 Marnix Van Soom , Milan van den Heuvel , Jan Ryckebusch , Koen Schoors

Theoretical and numerical analysis of the relativistic effects on the Richtmyer-Meshkov (RM) instability reveals new and potentially very useful effects. We find that, in contrast with the non- relativistic case, the growth rate of the RM…

High Energy Astrophysical Phenomena · Physics 2015-06-17 F. Mohseni , M. Mendoza , S. Succi , H. J. Herrmann

Classical Kyle-type models of informed trading typically treat noise trader demand as purely exogenous. In reality, many market participants react to price movements and news, generating feedback effects that can significantly alter market…

Mathematical Finance · Quantitative Finance 2026-01-16 Eunjung Noh

A well-known model due to J.-M. Lasry and P.L. Lions that presents the evolution of prices in a market as the evolution of a free boundary in a diffusion equation is suggested to be modified in order to show instabilities for some values of…

Analysis of PDEs · Mathematics 2013-06-06 María del Mar González , Maria Pia Gualdani , Joan Solà-Morales

Volatility, as a primary indicator of financial risk, forms the foundation of classical frameworks such as Markowitz's Portfolio Theory and the Efficient Market Hypothesis (EMH). However, its conventional use rests on assumptions-most…

General Finance · Quantitative Finance 2025-08-19 Sergio Bianchi , Daniele Angelini , Massimiliano Frezza , Augusto Pianese

We investigate numerically the collective dynamical behavior of pulse-coupled non-leaky integrate-and-fire-neurons that are arranged on a two-dimensional small-world network. To ensure ongoing activity, we impose a probability for…

Computational Physics · Physics 2012-02-15 Alexander Rothkegel , Klaus Lehnertz

In the wake of the ongoing global financial crisis, interdependencies among banks have come into focus in trying to assess systemic risk. To date, such analysis has largely been based on numerical data. By contrast, this study attempts to…

Risk Management · Quantitative Finance 2013-06-26 Samuel Rönnqvist , Peter Sarlin

Financial crises are a recurrent phenomenon with important effects on the real economy. The financial system is inherently fragile and it is therefore of great importance to be able to measure and characterize its systemic stability.…

Statistics Theory · Mathematics 2011-12-08 Helena Ferreira , Marta Ferreira

Hierarchy significantly shapes interactions in social structures by organizing individuals or groups based on status, power, or privilege. This study investigates how hierarchy affects structural balance as temperature variations, which…

Physics and Society · Physics 2025-04-25 Amir Kargaran , Houman Jafari , G. Reza Jafari

This article formalizes the problem of modeling social networks into an interacting particle system on random geometric graphs. Each vertex of the graph is associated with a geometric position in a latent space describing the unobserved…

Probability · Mathematics 2021-11-03 Khader Khadraoui , Ahmed Sid-Ali