1 citations · 1 across the 5 of their papers we have counts for
5 papers
Transversal family of non-autonomous conformal iterated function systems
Yuto Nakajima
We study Non-autonomous Iterated Function Systems (NIFSs) with overlaps. A NIFS on a compact subset is a sequence $Φ=(\{ϕ^{(j)}_{i}\}_{i\in I^{(j)}})_{j=1}^{…
structure of deconfinement vacuum in SU() Yang-Mills theory: emergence of Nambu-Goldstone mode in large- limit
Yuto Nakajima, Hideo Suganuma
Using the Polyakov-loop effective action, we investigate the structure of spontaneously broken symmetry in the deconfinement vacuum in the SU() Yang-Mills theory…
Hausdorff dimension of sets with restricted, slowly growing partial quotients in semi-regular continued fractions
Yuto Nakajima, Hiroki Takahasi
We determine the Hausdorff dimension of sets of irrationals in whose partial quotients in semi-regular continued fractions obey certain restrictions and growth conditions.…
Mandelbrot set for fractal -gons and zeros of power series
Yuto Nakajima
We give a framework to study the connectedness of the set of zeros of power series with coefficients in a finite subset . We prove that the set of zeros in the…
Self-similar fractals related to regular tetrahedron and imaginary cubes
Yuto Nakajima
We consider self-similar sets in three-dimensional Euclidean space related to a regular tetrahedron. Sierpiski tetrahedron is one such self-similar set. In this pa…