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math.DS2025
On the topology of the limit sets of non-autonomous iterated function systems
Yuto Nakajima, Takayuki Watanabe
Since Mandelbrot's seminal work, there has been growing interest in the geometric nature of fractals. While the topological properties of the limit sets of IFSs have been studied -…
cond-mat.str-el2025
Thermodynamics of dilute anyon gases from fusion constraints
Yuto Nakajima, Umang Mehta, Hart Goldman
Recent measurements on 2d materials tuning between fractional quantum anomalous Hall phases and a plethora of correlated electronic states call for a detailed understanding of the…
math.DS2025
Error bounds in a smooth metric for Brownian approximation of dynamical systems via Stein's method
Juho Leppänen, Yuto Nakajima, Yushi Nakano
We adapt Stein's method of diffusion approximations, developed by Barbour, to the study of chaotic dynamical systems. We establish an error bound in the functional central limit th…