Facilitating cross-chain cryptocurrency exchanges: An inquiry into blockchain technology and interoperability with an emphasis on cryptocurrency arbitrage

Since the introduction and proliferation of the blockchain-based cryptocurrency Bitcoin, alternative cryptocurrencies also based on blockchain technology have exploded in number. It was once believed that one, or very few, cryptocurrencies would eventually dominate the market and drive out competitors. This assumption, however, was incorrect. Thousands of cryptocurrencies exist concurrently. The vast number of cryptocurrencies leads to a problem—what if the cryptocurrency that an individual possesses does not meet their current needs as well as another cryptocurrency might? The attempt to solve this problem has led to the rise of many cryptocurrency exchanges and exchange schemes. In this paper, we will discuss the motivations for an individual to be interested in exchanging two or more cryptocurrencies by describing and comparing various popular cryptocurrencies with different desirable attributes. While we will discuss these attributes, this paper will give special focus to arbitrage in particular. In addition, we will describe various cryptocurrency exchange schemes and their advantages and disadvantages. Finally, we contribute to the understanding of cryptocurrency exchangeability and interoperability by comparing the historical price data of several cryptocurrencies to determine how often arbitrage has been possible in the past

On the Form Factor for the Unitary Group

We study the combinatorics of the contributions to the form factor of the group U(N) in the large $N$ limit. This relates to questions about semiclassical contributions to the form factor of quantum systems described by the unitary ensemble.Comment: 35 page

Arbitrage Behavior amongst Multiple Cryptocurrency Exchange Markets

Compared with fiat currencies, cryptocurrencies are usually more vulnerable to speculation and thus lead to massive price fluctuations, which makes exchanging cryptocurrencies a potentially profitable but risky endeavor. We aim to contribute to the understanding of the arbitrage behavior involving multiple cryptocurrency exchange markets. Specifically, we applied a Bellman-Ford based algorithm to detect possible arbitrage opportunities. By investigating historical data from three cryptocurrency exchange markets, i.e., Gemini, Coinbase, and Kraken, we designed experiments to identify how often arbitrage was possible in the past as well as the factors that contribute to the existence of arbitrage. We believe this may bring insights into strategies to stabilize the cryptocurrency exchange markets