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Understanding realistic complex systems requires confronting significant conceptual, theoretical and experimental limitations rooted in the persistence of views that originated in the mechanics of simple moving bodies. We define the…

物理与社会 · 物理学 2024-03-06 Santiago Núñez-Corrales , Eric Jakobsson

We present an alternative voting system that aims at bridging the gap between proportional representative systems and majoritarian, single winner election systems. The system lets people vote for multiple parties, but then assigns each…

计算机科学与博弈论 · 计算机科学 2016-12-01 Pietro Speroni di Fenizio , Daniele A. Gewurz

Notwithstanding the usefulness of system dynamics in analyzing complex policy problems, policy design is far from straightforward and in many instances trial-and-error driven. To address this challenge, we propose to combine system dynamics…

物理与社会 · 物理学 2017-11-15 Lukas Schoenenberger , Radu Tanase

We consider dynamical systems arising from substitutions over a finite alphabet. We prove that such a system is linearly repetitive if and only if it is minimal. Based on this characterization we extend various results from primitive…

动力系统 · 数学 2015-02-24 D. Damanik , D. Lenz

I give a short review of the theory of twisted symmetries of differential equations, emphasizing geometrical aspects. Some open problems are also mentioned.

数学物理 · 物理学 2018-05-29 Giuseppe Gaeta

This paper investigates the synthesis of distributed economic control algorithms under which dynamically coupled physical systems are regulated to a variational equilibrium of a constrained convex game. We study two complementary cases: (i)…

最优化与控制 · 数学 2021-08-25 Yang Lu , Minghui Zhu

How can one change a system, in order to change its statistical properties in a prescribed way? In this note we consider a control problem related to the theory of linear response. Given an expanding map of the unit circle with an…

动力系统 · 数学 2017-06-28 Stefano Galatolo , Mark Pollicott

We propose a formal foundation for reasoning about access control policies within a Dynamic Coalition, defining an abstraction over existing access control models and providing mechanisms for translation of those models into…

密码学与安全 · 计算机科学 2010-01-26 Igor Mozolevsky , John Fitzgerald

We consider the general class of time-homogeneous stochastic dynamical systems, both discrete and continuous, and study the problem of learning a representation of the state that faithfully captures its dynamics. This is instrumental to…

机器学习 · 计算机科学 2024-03-15 Vladimir R. Kostic , Pietro Novelli , Riccardo Grazzi , Karim Lounici , Massimiliano Pontil

Some simple examples from quantum physics and control theory are used to illustrate the application of the theory of Lie systems. We will show, in particular, that for certain physical models both of the corresponding classical and quantum…

数学物理 · 物理学 2007-05-23 José F. Cariñena , Arturo Ramos

In this article we investigate the connection between regularization theory for inverse problems and dynamic programming theory. This is done by developing two new regularization methods, based on dynamic programming techniques. The aim of…

数值分析 · 数学 2021-01-26 S. Kindermann , A. Leitao

The recent usage of technical systems in human-centric environments leads to the question, how to teach technical systems, e.g., robots, to understand, learn, and perform tasks desired by the human. Therefore, an accurate representation of…

人工智能 · 计算机科学 2020-01-16 Kristina Scharei , Florian Heidecker , Maarten Bieshaar

Describing the solutions of inverse problems arising in signal or image processing is an important issue both for theoretical and numerical purposes. We propose a principle which describes the solutions to convex variational problems…

最优化与控制 · 数学 2020-08-05 Vincent Duval

A notion of delegated causality is introduced. This subtle kind of causality is dual to interventional causality. Delegated causality elucidates the causal role of dynamical systems at the "edge of chaos", explicates evident cases of…

适应与自组织系统 · 物理学 2018-09-06 Raimundas Vidunas

We describe the approximation of a continuous dynamical system on a p. l. manifold or Cantor set by a tractable system. A system is tractable when it has a finite number of chain components and, with respect to a given full background…

动力系统 · 数学 2019-06-03 Ethan Akin

Decision procedures aggregating the preferences of multiple agents can produce cycles and hence outcomes which have been described heuristically as `chaotic'. We make this description precise by constructing an explicit dynamical system…

统计力学 · 物理学 2009-10-31 David A. Meyer , Thad A. Brown

We consider the dynamics of a droplet on a vibrating fluid bath. This hydrodynamic quantum analog system is shown to elicit the canonical behavior of damped-driven systems, including a period doubling route to chaos. By approximating the…

动力系统 · 数学 2022-11-10 Aminur Rahman , J. Nathan Kutz

In this paper we study a problem of looking for an optimal solution of a system of the differential equations with a control and an optimized function. The system of differential equations is changed for two systems with the upper and lower…

最优化与控制 · 数学 2016-04-20 Igor Proudnikov

We introduce the framework of performative control, where the policy chosen by the controller affects the underlying dynamics of the control system. This results in a sequence of policy-dependent system state data with policy-dependent…

最优化与控制 · 数学 2024-10-31 Songfu Cai , Fei Han , Xuanyu Cao

We consider a stochastic control problem where the set of controls is not necessarily convex and the system is governed by a nonlinear backward stochastic differential equation. We establish necessary as well as sufficient conditions of…

概率论 · 数学 2008-12-20 Seid Bahlali