Papers, ranked by score

Ordered by a blend of empirical rigor (60%) and math complexity (40%).

Proof of Stake economy under centralized exchanges--a mean field model

We consider the interaction between centralized trading and decentralized Proof of Stake (PoS) blockchain ecosystems. Motivated by the increasing dominance of centralized exchanges and the institutionalization of crypto markets, we study how trading activities on centralized exchanges affect staking

Holy Grail Math 8.5 Rigor 5 ·  September 23, 2026

Optimal Decisions for Liquid Staking: Allocation and Exit Timing

In this paper, we study an investor’s optimal entry and exit decisions in a liquid staking protocol (LSP) and an automated market maker (AMM), primarily from the standpoint of the investor. Our analysis focuses on two key investor actions: the initial allocation decision at time $t=0$, and the optim

Lab Rats Math 8 Rigor 3.5 ·  July 20, 2025

Trading and wealth evolution in the Proof of Stake protocol

With the increasing adoption of the Proof of Stake (PoS) blockchain, it is timely to study the economy created by such blockchain. In this chapter, we will survey recent progress on the trading and wealth evolution in a cryptocurrency where the new coins are issued according to the PoS protocol. We

Lab Rats Math 7.5 Rigor 3 ·  August 3, 2023

Systemic robustness: a mean-field particle system approach

This paper is concerned with the problem of budget control in a large particle system modeled by stochastic differential equations involving hitting times, which arises from considerations of systemic risk in a regional financial network. Motivated by Tang and Tsai (Ann. Probab., 46(2018), pp. 1597{

Lab Rats Math 9 Rigor 1.5 ·  December 16, 2022

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