Papers

1. Arithmetic degrees for dynamical systems over function fields of characteristic zero (with Y. Matsuzawa and T. Shibata), Math Z., 290 (2018), no.3-4, 1063--1083.

2. Growth rate of ample heights and the dynamical Mordell-Lang conjecture, Int. J. Number Theory, 14 (2018), no. 10, 2673--2685.

3. Arithmetic degrees and dynamical degrees of endomorphisms on surfaces (with Y. matsuzawa and T. Shibata), Algebra Number Theory, 12 (2018), no.7, 1635--1657.

 4. Dynamical degree and arithmetic degree of endomorphisms on product varieties, Tohoku Math. J. (2), 72 (2020), no. 1, 1--13.

5. Arithmetic and dynamical degrees of self-morphisms of semi-abelian varieties (with Y. Matsuzawa), Ergodic Theory Dynam. Systems, 40 (2020), no. 6, 1655--1672.

6. Zariski density of points with maximal arithmetic degree (with T. Shibata), Michigan Math. J. 73 (2) 429 - 448, May 2023.

7. Northcott numbers for the weighted Weil heights (with M. Okazaki),
Rend. Lincei Mat. Appl. 34 (2023), 127--144.

1. The canonical heights for Jordan blocks of small eigen values, preperiodic points, and the arithmetic degrees.

2. Zariski density of points with maximal arithmetic degree for surfaces (with T. Shibata),
to appear in RIMS kokyuroku bessatsu

3. Northcott numbers for generalized weighted Weil heights (with M. Okazaki),
to appear in Acta. Arith.

4. On preimages question (with Y. Matsuzawa)

5. Arithmetic properties of multiplier polynomials for certain polynomial maps (with Y. Murakami and K. Takehira)