Research works

Impermanent Loss Conditions: An Analysis of Decentralized Exchange Platforms

Decentralized exchanges are widely-used platforms for trading cryptoassets. The most fundamental and openly-accessible type of decentralized exchange is based on automated market makers (AMMs), where traders transact against asset reserves managed by smart contracts. These assets...

Logarithmic prismatic cohomology, motivic sheaves, and comparison theorems

Abstract We prove that (logarithmic) prismatic and (logarithmic) syntomic cohomology are representable in the category of logarithmic motives. As an application, we obtain Gysin maps for prismatic and syntomic cohomology, and we explicitly identify their cofibers. We also prove a...

PRODUCT OF RANKIN-SELBERG CONVOLUTIONS AND A NEW PROOF OF JACQUET’S LOCAL CONVERSE CONJECTURE

Abstract This article constructs a family of integrals representing the product of Rankin–Selberg L -functions for <mml:math xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mnf="http://cambridge.org/core/manifest" xmlns:cup="http://contentservices.cambridge.org" xmlns:mml="http:...

Economic Conditions and Incarceration in the United States: Evidence from Missouri, 1850–1930

This paper investigates the relationship between economic conditions and incarceration in the postbellum United States. Leveraging unique administrative prison records in Missouri from 1850 to 1931 and the differential exposure to national agricultural price changes across counti...

Smash powers and traces on parametrized spectra: an application of rigidity

Abstract The bicategory of parametrized spectra has a remarkably rich structure. We can take traces in this bicategory, giving classical invariants that count fixed points. We can also take $$C_n$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>C</mm...

Polyhedral Clinching Auctions with a Single Sample

We address auctions in two-sided markets with budget-constrained buyers, a fundamental setting with important applications such as display advertising. Our goal is to design efficient mechanisms that satisfy dominant-strategy incentive compatibility, individual rationality, and b...

Efficient numerical method for reliable upper and lower bounds on homogenized parameters

A numerical procedure providing guaranteed two-sided bounds on the effective coefficients of elliptic partial differential operators is presented. The upper bounds are obtained in a standard manner through the variational formulation of the problem and by applying the finite elem...

A HAL/Z3 Cosmological Model from TOE Postulates: Grand Deployment with Variational Closure (Postulate IV-b)

HAL/Z3 cosmological preprint (APS/revtex4-2 format): Grand Deployment narrative postulate (fold saturation at gmax, coherence relaxation C→C0, birth horizon LM) plus Postulate IV-b — gravitational saturation of the ADM Hamiltonian constraint yielding H2=(8πG/3)ρ(1−ρ/ρP) from δS/δ...

From Mathematical Foundation to Open Experimental Program: A Revised Unified Account of the Total Wave Modified Schrödinger Equation (TWMSE)

This paper presents a revised unified account of the Total Wave Modified Schrödinger Equation (TWMSE), a proposed deterministic collapse framework in which quantum state reduction is investigated as a possible dynamical consequence of interaction between a system wavefunction and...

Dictionary-KAN: Resolving the Optimization Paradox of Kolmogorov-Arnold Networks via Complex RKHS, Machine-Verified Theory, and Discrete Hierarchical Refinement

Kolmogorov-Arnold Networks (KANs) replace dense weight matrices with learnable univariate edge functions, but continuous spline-based formulations suffer from an “optimization paradox”: vanishing gradients, knot-sorting collapses, dense-grid memory costs, and the reintroduction o...

Does TikTok promote or cannibalize music streaming? Estimands and identification with heavy-tailed outcomes

Abstract We study how TikTok affects demand for music on paid streaming platforms in the context of Universal Music Group’s (UMG) global withdrawal of its catalog from TikTok. Recent studies using this quasi-natural experiment have reached different conclusions about whether TikT...

On exact estimates of the order of approximation of functions of several variables in the anisotropic Lorentz--Zygmund space

In this paper we consider $L_{\overline{p}, \overline\alpha, \overline{\tau}}^{*}(\mathbb{T}^{m})$ anisotropic Lorentz-Zyg\-mu\-nd space $ 2\pi$ of periodic functions of $m$ variables and Nikol'skii--Besov's class $S_{\overline{p}, \overline\alpha, \overline{\tau}, \bar{\theta}}^...

Bootstrapping Generalization Error Bounds for Time Series

Abstract We consider the problem of constructing confidence intervals for the risk of forecasting the future of a stationary, ergodic stochastic process, using a model estimated from the past of the process. We show that a bootstrap procedure provides valid confidence intervals f...

A tutorial on fitting flexible meta-analytic models with structural equation modeling in R

Abstract There are various statistical models with different features and assumptions in meta-analysis. Popular models include the fixed-effect (or common effect), random-effects, and mixed-effects models. Apart from these models, several alternative models, such as the multiplic...

Hilbert’s tenth problem via additive combinatorics

For all infinite rings <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper R"> <mml:semantics> <mml:mi>R</mml:mi> <mml:annotation encoding="application/x-tex">R</mml:annotation> </mml:semantics> </mml:math> </inline-...

Expected reward value and reward prediction errors reinforce but also interfere with human time perception

Abstract Time perception is often investigated in animal models and in humans using instrumental paradigms where reinforcement learning (RL) and associated dopaminergic processes have modulatory effects. For example, interval timing, which includes the judgment of relatively shor...

Asymptotics of predictive distributions driven by sample means and variances

Abstract Let alpha Subscript n Baseline left parenthesis dot right parenthesis equals double struck upper P left parenthesis upper X Subscript n plus 1 Baseline element of dot vertical bar upper X 1 comma ellipsis comma upper X Subscript n Baseline right parenthesis <mml:math xml...

The money laundering market: An economic analysis

Criminals launder their proceeds from crime, either themselves or by paying a professional, to disguise the link between the criminal, the crime, and the proceeds. This allows the criminal to spend the proceeds more freely and lowers the chance of receiving unwanted attention fro...

The illegal market for sex in the United States: Insights from economic research

The illegal market for sex in the United States generates significant economic activity yet remains understudied due to its illegality and clandestine nature. This paper synthesizes existing empirical evidence documenting aspects of market structure, impacts of regulation, and no...

Delivering Organisational Judgement: Explicit Context, Retrieval, and Parameter Adaptation in Qwen3

Synthetic withholding studies show that organisation-specific engineering judgement can be restored when written material is supplied at inference time. This technical note asks whether the same sealed contrasting-practices world admits recovery when that judgement is delivered t...