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In this work, we systematically present a new dynamical systems approach to standard inflationary processes and their variants as constant-roll inflation. Using the techniques presented in our work one can in general investigate the…

广义相对论与量子宇宙学 · 物理学 2026-01-13 Sandip Biswas , Saddam Hussain , Kaushik Bhattacharya

The application of renewable energy sources in the power grid increases the necessity of tracking the system's state, especially in smart grids, where there is a bidirectional transfer of data and power. The complexity of coupling between…

系统与控制 · 电气工程与系统科学 2021-06-24 Sajjad Asefi , Yash Madhwal , Yury Yanovich , Elena Gryazina

This paper describes how Distributed Ledger Technologies can be used to design a class of cyber-physical systems, as well as to enforce social contracts and to orchestrate the behaviour of agents trying to access a shared resource. The…

系统与控制 · 计算机科学 2019-11-12 Pietro Ferraro , Christopher King , Robert Shorten

Cryptocurrency networks such as Bitcoin have emerged as a distributed alternative to traditional centralized financial transaction networks. However, there are major challenges in scaling up the throughput of such networks. Lightning…

分布式、并行与集群计算 · 计算机科学 2021-06-25 Sushil Mahavir Varma , Siva Theja Maguluri

We analyze bribing attacks in Proof-of-Stake distributed ledgers from a game theoretic perspective. In bribing attacks, an adversary offers participants a reward in exchange for instructing them how to behave, with the goal of attacking the…

计算机科学与博弈论 · 计算机科学 2024-06-21 Dimitris Karakostas , Aggelos Kiayias , Thomas Zacharias

We study constant roll inflation systematically. This is a regime, in which the slow roll approximation can be violated. It has long been thought that this approximation is necessary for agreement with observations. However, recently it was…

高能物理 - 理论 · 物理学 2018-02-21 Lilia Anguelova , Peter Suranyi , L. C. Rohana Wijewardhana

In blockchain sharding, $n$ processing nodes are divided into $s$ shards, and each shard processes transactions in parallel. A key challenge in such a system is to ensure system stability for any ``tractable'' pattern of generated…

分布式、并行与集群计算 · 计算机科学 2025-09-03 Ramesh Adhikari , Costas Busch , Dariusz R. Kowalski

This paper is concerned with the stability of shares in a cryptocurrency where the new coins are issued according to the Proof of Stake protocol. We identify large, medium and small investors under various rewarding schemes, and show that…

综合经济学 · 经济学 2022-06-07 Wenpin Tang

We present an event-triggered control strategy for stabilizing a scalar, continuous-time, time-invariant, linear system over a digital communication channel having bounded delay, and in the presence of bounded system disturbance. We propose…

最优化与控制 · 数学 2018-01-29 Mohammad Javad Khojasteh , Mojtaba Hedayatpour , Jorge Cortes , Massimo Franceschetti

Recently, the notion of cryptocurrencies has come to the fore of public interest. These assets that exist only in electronic form, with no underlying value, offer the owners some protection from tracking or seizure by government or…

数理金融 · 定量金融 2018-05-09 Carey Caginalp

Stochastic network optimization problems entail finding resource allocation policies that are optimum on an average but must be designed in an online fashion. Such problems are ubiquitous in communication networks, where resources such as…

最优化与控制 · 数学 2018-05-09 Amrit S. Bedi , Ketan Rajawat

We model incentive security in non-custodial stablecoins and derive conditions for participation in a stablecoin system across risk absorbers (vaults/CDPs) and holders of governance tokens. We apply option pricing theory to derive closed…

综合经济学 · 经济学 2023-03-31 Lucy Huo , Ariah Klages-Mundt , Andreea Minca , Frederik Christian Münter , Mads Rude Wind

Linear scalar differential equations with distributed delays appear in the study of the local stability of nonlinear differential equations with feedback, which are common in biology and physics. Negative feedback loops tend to promote…

动力系统 · 数学 2009-10-26 Samuel Bernard

Blockchain technologies are one possible avenue for increasing the resilience of the Smart Grid, by decentralizing the monitoring and control of system-level objectives such as voltage stability protection. They furthermore offer benefits…

分布式、并行与集群计算 · 计算机科学 2022-06-29 Kimia Honari , Xiaotian Zhou , Sara Rouhani , Scott Dick , Hao Liang , James Miller Li , James Miller

Despite being under development for over 15 years, transaction throughput remains one of the key challenges confronting blockchains, which typically has a cap of a limited number of transactions per second. A fundamental factor limiting…

分布式、并行与集群计算 · 计算机科学 2026-01-16 Evangelos Kolyvas , Alexandros Antonov , Spyros Voulgaris

This paper proposes a model that enables permissionless and decentralized networks for complex computations. We explore the integration and optimize load balancing in an open, decentralized computational network. Our model leverages…

计算金融 · 定量金融 2025-01-03 German Rodikov

Optimistic responsiveness -- the ability of a consensus protocol to operate at the speed of the network -- is widely used in consensus protocol design to optimize latency and throughput. However, blockchain applications incentivize…

计算机科学与博弈论 · 计算机科学 2025-10-30 Kaya Alpturer , Kushal Babel , Aditya Saraf

We study the following problem that is motivated by Blockchains where ``miners'' are serially given the monopoly for assembling transactions into the next block. Our model has a single good that is sold repeatedly every day where new demand…

计算机科学与博弈论 · 计算机科学 2023-11-22 Noam Nisan

We argue that recent developments in proof-of-work consensus mechanisms can be used in accordance with advancements in formal verification techniques to build a distributed payment protocol that addresses important economic drawbacks from…

密码学与安全 · 计算机科学 2020-05-14 Assimakis Kattis , Fabian Trottner

This paper develops a dynamic monetary model to study the (in)stability of the fractional reserve banking system. The model shows that the fractional reserve banking system can endanger stability in that equilibrium is more prone to exhibit…

理论经济学 · 经济学 2024-04-18 Heon Lee