HINO Masanori

J-GLOBAL         Last updated: Jun 17, 2019 at 09:17
HINO Masanori
Kyoto University
Graduate School of Science Division of Mathematics
Ph.D.(Kyoto University)

Research Interests


Research Areas


Academic & Professional Experience

Apr 2016
Professor, Department of Mathematics, Kyoto University
Apr 2013
Mar 2016
Professor, Graduate School of Engineering Science, Osaka University
Apr 2007
Mar 2013
Associate Professor, Graduate School of Informatics, Kyoto University
Apr 2002
Mar 2007
Associate Professor, Graduate School of Informatics, Kyoto University
Oct 1998
Mar 2002
Lecturer, Graduate School of Informatics, Kyoto University
Apr 1998
Sep 1998
Research Associate, Graduate School of Informatics, Kyoto University
Feb 1998
Apr 1998
Research Associate, Department of Mathematics, Kyoto University

Awards & Honors

Jul 2016
Senior Berwick Prize, London Mathematical Society
Winner: Keisuke Hara, Masanori Hino
Feb 2016
Theory of Dirichlet Forms and Application to Stochastic Analysis, 12th JSPS Prize, Japan Society for the Promotion of Science
Sep 2011
Stochastic analysis on state spaces with atypical structures, The 10th Analysis Prize
Oct 2001
Stochastic analysis in infinite dimensional spaces, MSJ Takebe Katahiro Prize, The Mathematical Society of Japan

Published Papers

Masanori Hino, Kouhei Matsuura
Potential Anal.   48 257-300   2018   [Refereed]
Masanori Hino
Sugaku Expositions   30 187-205   2017   [Invited]
Masanori Hino
J. Fractal Geom., vol. 3 (2016), 245-263      2016   [Refereed]
We confirm, in a more general framework, a part of the conjecture posed by R.
Bell, C.-W. Ho, and R. S. Strichartz [Energy measures of harmonic functions on
the Sierpiński gasket, Indiana Univ. Math. J. 63 (2014), 831--868] on the
distribution o...
Masanori Hino
Festschrift Masatoshi Fukushima: In Honor of Masatoshi Fukushima's Sanju   219-236   Jan 2015   [Refereed]
We introduce the concept of functions of locally bounded variation on
abstract Wiener spaces and study their properties. Some nontrivial examples and
applications to stochastic analysis are also discussed.
Masanori Hino
Publ. Res. Inst. Math. Sci., vol. 50 (2014), 181-205      2014   [Refereed]
Given strong local Dirichlet forms and Tex-valued functions on a
metrizable space, we introduce the concepts of geodesic distance and intrinsic
distance on the basis of these objects. They are defined in a geometric and an
analytic way,...
Masanori Hino
Math. Nachr. 286 (2013), 1466-1478      2013   [Refereed]
We introduce Riemannian-like structures associated with strong local
Dirichlet forms on general state spaces. Such structures justify the principle
that the pointwise index of the Dirichlet form represents the effective
dimension of the virtual ta...
Masanori Hino
Probab. Theory Related Fields 156 (2013), 739-793      2013   [Refereed]
We study upper estimates of the martingale dimension Tex of diffusion
processes associated with strong local Dirichlet forms. By applying a general
strategy to self-similar Dirichlet forms on self-similar fractals, we prove
that Tex for natu...
Masanori Hino
Bull. Sci. Math. 135 (2011), 667-683      2011   [Refereed]
We consider the Tex-Sobolev space Tex on subsets Tex in an
abstract Wiener space, which is regarded as a canonical Dirichlet space on Tex.
We prove that Tex has smooth cylindrical functions as a dense subset
if Tex is Tex-con...
Keisuke Hara, Masanori Hino
Bull. Lond. Math. Soc. 42 (2010) no. 3, 467-477      2010   [Refereed]
We prove the neo-classical inequality with the optimal constant, which was
conjectured by T. J. Lyons [Rev. Mat. Iberoamericana 14 (1998) 215-310]. For
the proof, we introduce the fractional order Taylor's series with residual
terms. Their applica...
Masanori Hino
Journal of Functional Analysis, vol. 258 (2010), 1656-1681.      2010   [Refereed]
In Euclidean space, the integration by parts formula for a set of finite
perimeter is expressed by the integration with respect to a type of surface
measure. According to geometric measure theory, this surface measure is
realized by the one-codime...
Masanori Hino
Proceedings of the London Mathematical Society, vol. 100 (2010), 269-302.      2010   [Refereed]
We introduce the concept of index for regular Dirichlet forms by means of
energy measures, and discuss its properties. In particular, it is proved that
the index of strong local regular Dirichlet forms is identical with the
martingale dimension of...
Masanori Hino
Annals of Probability, Vol. 36, No. 3 (2008), 971-991      2008   [Refereed]
We prove that the martingale dimensions for canonical diffusion processes on
a class of self-similar sets including nested fractals are always one. This
provides an affirmative answer to the conjecture of S. Kusuoka [Publ. Res.
Inst. Math. Sci. 25...
Masanori Hino, Hiroto Uchida
Proceedings of RIMS Workshop on Stochastic Analysis and Applications, 111-128, RIMS Kokyuroku Bessatsu, B6, Res. Inst. Math. Sci. (RIMS), Kyoto, 2008      2008   [Refereed]
Consider a set of continuous maps from the interval Tex to a domain in
Tex. Although the topological boundary of this set in the path
space is not smooth in general, by using the theory of functions of bounded
variation (BV functio...
Masanori Hino, Takashi Kumagai
J. Func. Anal., 238 (2006), 578--611      2006   [Refereed]
We consider a trace theorem for self-similar Dirichlet forms on self-similar
sets to self-similar subsets. In particular, we characterize the trace of the
domains of Dirichlet forms on the Sierpinski gaskets and the Sierpinski carpets
to their bou...

Books etc

Probabilistic approach to geometry. Papers from the 1st Conference of the Seasonal Institute of the Mathematical Society of Japan held at Kyoto University, Kyoto, July 28-August 8, 2008
KOTANI Motoko, HINO Masanori, KUMAGAI Takashi (Part:Editor)
2010   ISBN:978-4-931469-58-7
The first Seasonal Institute of the Mathematical Society of Japan (MSJ-SI)—“Probabilistic Approach to Geometry”— was held at Kyoto University, Japan, on July 28–August 8, 2008. The conference aimed to make interactions between geometry and probabi...

Conference Activities & Talks

HINO Masanori
Fractal Geometry and Stochastics 6   3 Oct 2018   
Some properties of energy measures on the Sierpinski gasket [Invited]
HINO Masanori
2nd Hong Kong/Kyoto Workshop on ``Fractal Geometry and Related Areas''   9 May 2018   
HINO Masanori
Japanese-German Open Conference on Stochastic Analysis 2017   5 Sep 2017   
HINO Masanori
Workshop ``Dirichlet forms and their geometry''   23 Mar 2017   
HINO Masanori
The 8th International Conference on Stochastic Analysis and Its Applications   13 Jun 2016   
HINO Masanori
Geometry and Probability   10 Nov 2015   
HINO Masanori
Stochastic Analysis   10 Sep 2015   
HINO Masanori
International Conference on Stochastic Analysis and Relataed Topics   5 Aug 2015