Back
Research Interests:
Dynamical Systems, Spectral Theory and Fractal Geometry.
Publications/Preprints:
Y. Takahashi, Analyticity of the Lyapunov exponent of meromorphic monotonic cocycles, to appear in
Dyn. Syst.
Y. Takahashi, Invariant measures for Iterated Function Systems with overlaps, to appear in
J. Fractal Geom.
B. Solomyak, Y. Takahashi,
Diophantine property of matrices and attractors of projective iterated function systems in RP^1
,
Int. Math. Res. Not.
16
(2021) 12639--12669.
Y. Takahashi,
Sums of two self-similar Cantor sets
,
J. Math. Anal. Appl.
477
(2019) 613--626.
Y. Takahashi,
Sums of two homogeneous Cantor sets
,
Trans. Amer. Math. Soc.
372
(2019) 1817--1832.
Y. Takahashi,
Products of two Cantor sets
,
Nonlinearity
30
(2017) 2114--2137.
Y. Takahashi,
Quantum and spectral properties of the Labyrinth model
,
J. Math. Phys.
57
(2016).
J. Fillman, Y. Takahashi, W. Yessen,
Mixed spectrum regimes of the square tridiagonal Fibonacci Hamiltonian
,
J. Fractal Geom.
3
(2016) 377--405.
M. Kanki, Y. Takahashi, T. Tokihiro,
Graphs emerging from the solutions to the periodic discrete Toda equation over finite fields
,
Nonlinear Theory and Its Applications
7
(2016) 338--353.
Last modified: September 2021