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The Nakamoto consensus protocol underlying the Bitcoin blockchain uses proof of work as a voting mechanism. Honest miners who contribute hashing power towards securing the chain try to extend the longest chain they are aware of. Despite its…

Cryptography and Security · Computer Science 2025-05-22 Mirza Ahad Baig , Krzysztof Pietrzak

Rates of binomial processes are modeled using beta-binomial distributions (for example, from Beta Regression). We treat the offline optimization scenario and then the online one, where we optimize the exploration-exploitation problem. The…

Applications · Statistics 2017-09-12 Inon Sharony

Consider a coin tossing experiment which consists of tossing one of two coins at a time, according to a renewal process. The first coin is fair and the second has probability $1/2 + \theta$, $\theta \in [-1/2,1/2]$, $\theta$ unknown but…

Probability · Mathematics 2019-03-25 Diego Marcondes , Cláudia Peixoto

This paper studies binary hypothesis testing based on measurements from a set of sensors, a subset of which can be compromised by an attacker. The measurements from a compromised sensor can be manipulated arbitrarily by the adversary. The…

Information Theory · Computer Science 2018-01-22 Xiaoqiang Ren , Jiaqi Yan , Yilin Mo

We study the convex duality method for robust utility maximization in the presence of a random endowment. When the underlying price process is a locally bounded semimartingale, we show that the fundamental duality relation holds true for a…

Computational Finance · Quantitative Finance 2015-03-17 Keita Owari

Recently, several works conjectured the vulnerabilities of mainstream blockchains under several network attacks. All these attacks translate into showing that the assumptions of these blockchains can be violated in theory or under…

Cryptography and Security · Computer Science 2018-05-15 Parinya Ekparinya , Vincent Gramoli , Guillaume Jourjon

We are interested in the nonparametric estimation of the probability density of price returns, using the kernel approach. The output of the method heavily relies on the selection of a bandwidth parameter. Many selection methods have been…

Statistical Finance · Quantitative Finance 2023-05-23 Matthieu Garcin

We present two models of the block chain of Bitcoin in the interactive theorem prover Agda. The first one is based on a simple model of bank accounts, while having transactions with multiple inputs and outputs. The second model models…

Cryptography and Security · Computer Science 2018-04-18 Anton Setzer

Bitcoin operates as a macroeconomic paradox: it combines a strictly predetermined, inelastic monetary issuance schedule with a stochastic, highly elastic demand for scarce block space. This paper empirically validates the Endogenous…

Statistical Finance · Quantitative Finance 2025-12-10 Hamoon Soleimani

This paper introduces a structural game-theoretic model to value decentralized digital assets like Bitcoin. Instead of relying on speculative beliefs, it frames the asset's price within a Rational-Expectations Security-Utility Nash…

Cryptography and Security · Computer Science 2025-08-12 Liang Chen

The results by A.S. Barabash [Phys. Rev. {\bf C 81}, 035501 (2010)] are shown to be incomplete. Tellurium data sets were reanalyzed using the best practices of ENSDF evaluations. Present analysis indicates much higher value for the…

Nuclear Theory · Physics 2010-05-17 B. Pritychenko

Evaluated $2\beta^{-}(2\nu)$ half-lives and their systematics were reexamined in the framework of a phenomenological approach. Decay rate dependence on nuclear deformation, decay energy, shape coexistence, and forbidden transitions was…

Nuclear Theory · Physics 2023-03-22 B. Pritychenko

For the model of so-called coherent computing recently proposed by Yamamoto et al. [Y. Yamamoto et al., New Gen. Comput. 30 (2012) 327-355], a theoretical analysis of the success probability is given. Although it was claimed as their…

Quantum Physics · Physics 2013-11-19 Akira SaiToh

This paper revisits the classical problem of determining the bias of a weighted coin, where the bias is known to be either $p = 1/2 + \varepsilon$ or $p = 1/2 - \varepsilon$, while minimizing the expected number of coin tosses and the error…

Statistics Theory · Mathematics 2025-10-20 Chirag Pabbaraju , Gregory Valiant , Rishi Verma

We prove Bitcoin is secure under temporary dishonest majority. We assume the adversary can corrupt a specific fraction of parties and also introduce crash failures, i.e., some honest participants are offline during the execution of the…

Cryptography and Security · Computer Science 2019-08-02 Georgia Avarikioti , Lukas Kaeppeli , Yuyi Wang , Roger Wattenhofer

Designing profitable and reliable trading strategies is challenging in the highly volatile cryptocurrency market. Existing works applied deep reinforcement learning methods and optimistically reported increased profits in backtesting, which…

Statistical Finance · Quantitative Finance 2023-02-01 Berend Jelmer Dirk Gort , Xiao-Yang Liu , Xinghang Sun , Jiechao Gao , Shuaiyu Chen , Christina Dan Wang

We study the computation contests where players compete for searching a solution to a given problem with a winner-take-all reward. The search processes are independent across the players and the search speeds of players are proportional to…

Computer Science and Game Theory · Computer Science 2019-02-26 Yulong Zeng , Song Zuo

We consider a random generalisation of the classical Fibonacci substitution. The substitution we consider is defined as the rule mapping $\mathtt{a}\mapsto \mathtt{baa}$ and $\mathtt{b} \mapsto \mathtt{ab}$ with probability $p$ and…

Combinatorics · Mathematics 2015-06-15 Johan Nilsson

In this paper,we consider the restless bandit problem, which is one of the most well-studied generalizations of the celebrated stochastic multi-armed bandit problem in decision theory. However, it is known be PSPACE-Hard to approximate to…

Machine Learning · Computer Science 2011-04-29 Quan Liu , Kehao Wang , Lin Chen

We initiate the study of quantum races, games where two or more quantum computers compete to solve a computational problem. While the problem of dueling algorithms has been studied for classical deterministic algorithms, the quantum case…

Quantum Physics · Physics 2018-09-28 Troy Lee , Maharshi Ray , Miklos Santha
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