2020-2024

• (jointly with Masayoshi Takeda) Criticality of Schrödinger forms and recurrence of Dirichlet forms, Transactions of the American Mathematical Society, 376 (2023), 4145-4171, DOI: https://doi.org/10.1090/tran/8865

• Dirichlet Forms and Related Topics, In Honor of Masatoshi Fukushima’s Beiju, IWDFRT 2022, Osaka, Japan, August 22 -- 26, Springer Proceedings in Mathematics & Statistics (PROMS, volume 394) (Editors: Zhen-Qing Chen, Masayoshi Takeda and Toshihiro Uemura), 570 pp, Springer, 2022

• (jointly with Matsuyo Tomisaki) Homogenization of symmetric Dirichlet forms, Journal of the Mathematical Society of Japan, 74 (2022), 247-283, DOI: 10.2969/jmsj/85268526

• (jointly with Haruna Okamura) On symmetric stable-type processes with degenerate/singular Lévy densities, Journal of Theoretical Probability, 34 (2021), 809-826, DOI: 10.1007/s10959-020-00990-6

• (jointly with René L. Schilling) Homogenization of symmetric Lévy processes on R^d, REVUE ROUMAINE DE MATHÉMATIQUES PURES ET APPLIQUÉES, 66 (2021), 243-253

2015-2019

• (jointly with Li Liping and Jiangang Ying) Weak convergence of regular Dirichlet subspaces, Osaka Journal of Mathematics, 54 (2017), 435-455

• (jointly with Yoichi Oshima) On the Conservativeness of Some Markov Processes, Potential Analysis, 46 (2017), 609-645,
DOI: 10.1007/s11118-016-9596-4

• (jointly with K. Suzuki) On instability of global path properties of symmetric Dirichlet forms under Mosco convergence, Osaka Journal of Mathematics, 53 (2016), 567-590

• (jointly with H. Okura) On the recurrence of symmetric jump processes, Forum Mathematicum, 27 (2015), 3269-3300
DOI: 10.1515/forum-2013-0190

• Festschrift Masatoshi Fukushima, in Honor of Masatoshi Fukushima's Sanju, -Interdisciplinary Mathemarical Sciences vol. 17 - (Editors: Zhen-Qing Chen, Niels Jacob, Masayoshi Takeda and Toshihiro Uemura), 620pp, World Scientific, 2015

2010-2014

• On dual generators for non-local semi-Dirichlet forms, Probability and Mathematical Statistics, 34 (2014), 199-214

• On multidimensional diffusion processes with jumps, Osaka Journal of Mathematics, 51 (2014), 969-992

• (jointly with Y. Shiozawa) Explosion of Jump-Type Symmetric Dirichlet Forms on $R^d$, Journal of Theoretical Probability, 27 (2014), 404-432,
DOI 10.1007/s10959-012-0424-5

• (jointly with J. Masamune and J. Wang) On the conservativeness and the recurrence of symmetric jump-diffusions, Journal of Functional Analysis, Vol. 263 (2012), 3984-4008, DOI

• (jointly with M. Fukushima) Jump-type Hunt processes generated by lower bounded semi-Dirichlet forms, The Annals of Probability, Vol. 40 (2012), 858-889 DOI: 10.1214/10-AOP633

• (jointly with René L. Schilling) On the structure of the domain of a symmetric jump type Dirichlet form, Publications of the Research Institute for Mathematical Sciences, Kyoto Univ., 48 No.1 (2012), pp. 1-20

• (jointly with J. Masamune) $L^p$-Liouville property for nonlocal operators, Mathematische Nachrichten, 284 No. 17-18, (2011), 2249-2267
web page

• (jointly with J. Masamune) Conservation property of symmetric jump processes, Annales de l’Institut Henri Poincare'- Probabilites et Statistiques, 47 (2011), 650-662

• (jointly with R.F. Bass and T. Kumagai) Convergence of symmetric Markov chains on Z^d, Probab. Theory and Related Fields, 148 (2010), 107-140

• (jointly with Y. Shiozawa) Stability of Feller property for non-local operators by bounded perturbations, Glasnik Matematicki, 45 (2010), 155-172

• On exit time from balls of jump-type symmetric Markov processes, Acta Math. Sinica, English Series, 26 (2010), 185-192 web page

2005-2009

• A remark on non-local operators with variable order, Osaka Journal of Mathematics, 46 (2009), pp.503-514
web page

• (jointly with René L. Schilling) On the Feller property of Dirichlet forms generated by pseudo differential operators, Tohoku Mathematical Journal, 59 (2007), pp 401 - 422

• On an extension of jump-type symmetric Dirichlet forms, Electronic Communications in Probability, 12 (2007), pp 57-65, web page

2000-2004

• (jointly with Y. Isozaki) A family of symmetric stable-like processes and their global properties, Probability and Mathematical Statistics, 24 (2004), pp.145-164

• On symmetric stable-like processes: some path properties and generators, Journal of Theoretical Probability, 17 (2004), 541-555.

• (jointly with M. Takeda) Subcriticality and Gaugeability for Symmetric $\alpha$-Stable Processes, Forum Mathematicum, 16 (2004), 505-517.

• (jointly with M. Fukushima) On spectral synthesis for contractive $p$-norms and Besov spaces, Potential Analysis, 20 (2004) 195-206

• (jointly with M. Fukushima) Capacitary bounds of measures and ultracontractivity of time changed processes, Journal de Mathematiques Pures et Appliquees, 82 (2003), 553-572

• (jointly with M. Fukushima) On Sobolev and capacitary inequalities for contractive Besov spaces over $d$-sets, Potential Analysis, 18 (2003), 59-77

• On some path properties of symmetric stable-like processes for one dimension, Potential Analysis, 16 (2002), 79-91

1995-1999

• (jointly with K. Kuwae) Weak convergence of symmetric diffusion processes, Probability Theory and Related Fields, 109 (1997), 159-182

• (jointly with K. Kuwae) Weak convergence of symmetric diffusion processes II, in Probability Theory and Mathematical Statistics - Proc. 7th Japan-Russia Symp., Tokyo, 1995, editors: S. Watanabe, M. Fukushima, Y. V. Prohorov and A. N. Shiryaev, 1996, 266-275

• On weak convergence of diffusion processes generated by energy forms, Osaka Journal of Mathematics, 32 (1995), 861-869

1990-1994

• A law of large numbers for random sets, Fuzzy Sets and Systems, 59 (1993), 181-188

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