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econ.EM2025

Treatment Effects with Correlated Spillovers: Bridging Discrete and Continuous Methods

Tatsuru Kikuchi

This paper develops a continuous functional framework for treatment effects propagating through geographic space and economic networks. We derive a master equation from three indep…

econ.EM2025

Dynamic Spatial Treatment Effects as Continuous Functionals: Theory and Evidence from Healthcare Access

Tatsuru Kikuchi

I develop a continuous functional framework for spatial treatment effects grounded in Navier-Stokes partial differential equations. Rather than discrete treatment parameters, the f…

econ.EM2025

Dynamic Spatial Treatment Effect Boundaries: A Continuous Functional Framework from Navier-Stokes Equations

Tatsuru Kikuchi

I develop a comprehensive theoretical framework for dynamic spatial treatment effect boundaries using continuous functional definitions grounded in Navier-Stokes partial differenti…

econ.EM2025

Nonparametric Identification of Spatial Treatment Effect Boundaries: Evidence from Bank Branch Consolidation

Tatsuru Kikuchi

I develop a nonparametric framework for identifying spatial boundaries of treatment effects without imposing parametric functional form restrictions. The method employs local linea…

econ.EM2025

Nonparametric Identification and Estimation of Spatial Treatment Effect Boundaries: Evidence from 42 Million Pollution Observations

Tatsuru Kikuchi

This paper develops a nonparametric framework for identifying and estimating spatial boundaries of treatment effects in settings with geographic spillovers. While atmospheric dispe…

econ.EM2025

Spatial and Temporal Boundaries in Difference-in-Differences: A Framework from Navier-Stokes Equation

Tatsuru Kikuchi

This paper develops a unified framework for identifying spatial and temporal boundaries of treatment effects in difference-in-differences designs. Starting from fundamental fluid d…

econ.EM2025

A Unified Framework for Spatial and Temporal Treatment Effect Boundaries: Theory and Identification

Tatsuru Kikuchi

This paper develops a unified theoretical framework for detecting and estimating boundaries in treatment effects across both spatial and temporal dimensions. We formalize the conce…