Papers, ranked by score

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

Can we infer microscopic financial information from the long memory in market-order flow?: a quantitative test of the Lillo-Mike-Farmer model

In financial markets, the market order sign exhibits strong persistence, widely known as the long-range correlation (LRC) of order flow; specifically, the sign correlation function displays long memory with power-law exponent $γ$, such that $C(τ) \propto τ^{-γ}$ for large time-lag $τ$. One of the mo

Holy Grail Math 6.5 Rigor 9 ·  January 31, 2023

Is price-impact decay statistically identifiable by propagator estimation? Diffusive prices force the inferred kernel to be transient and fine-tuned

Despite the long memory of market-order flow, price dynamics remain diffusive—a seemingly paradoxical coexistence known in econophysics as the diffusivity puzzle. The propagator model has long been regarded as a promising solution: price impact decays in time, finely balanced against the order-flo

Lab Rats Math 9 Rigor 4 ·  November 7, 2026

Mean-field theory of the Santa Fe model revisited: a systematic derivation from an exact BBGKY hierarchy for the zero-intelligence limit-order book model

The Santa Fe model is an established econophysics model for describing stochastic dynamics of the limit order book from the viewpoint of the zero-intelligence approach. While its foundation was studied by combining a dimensional analysis and a mean-field theory by E. Smith et al. in Quantitative Fin

Lab Rats Math 9 Rigor 1 ·  October 2, 2025

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