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Analysis 2 (Probability Theory) Lab (Masanori Hino)
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A lab that studies stochastic processes on fractals.
AboutAbout the lab
Exploring random motion on intricate shapes
The Hino Lab studies stochastic analysis, Dirichlet forms, and Markov processes in the field of probability theory.
The lab investigates the properties of randomly moving particles (diffusion processes) on fractals such as the Sierpinski gasket.
Prof. Hino has also written a textbook, "Fundamentals of Lebesgue Integration" (in Japanese).
Key terms
- Dirichlet form
- A tool for handling random motion (Markov processes) using the idea of energy
- Fractal
- A finely intricate shape in which enlarging a part reveals a form similar to the whole
- Diffusion process
- The motion of a particle that moves randomly and continuously, like Brownian motion
ResearchResearch themes
The lab studies stochastic analysis, Dirichlet forms, and Markov processes. It investigates diffusion processes and energy on spaces such as fractals.
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MembersFaculty
- ProfessorMasanori Hino
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Sierpinski-Pyramide Spitze 8K OpenCL HQ” PantheraLeo1359531 / CC BY 4.0 (cropped)
- Martingale Dimension on Fractals: “Sierpinski Triangle mod 3” Kabrick1 / CC BY 4.0 (cropped)
- Related lab (Analysis 2 (Stochastic Analysis) Lab (Seiichiro Kusuoka)): “Girsanov” Martin Keller-Ressel (uploaded by Thomas Steiner) / CC BY-SA 3.0 (cropped)
- Related lab (Analysis 2 (Stochastic Analysis, Stochastic Control) Lab (Yushi Hamaguchi)): “Alpha-stable-levy” Thomas Steiner and Martin Keller-Ressel / CC BY-SA 2.5 (cropped)
- Related lab (Algebra 1 (Number Theory, Representation Theory) Lab (Miyu Suzuki)): “Cayley graphs of quaternion group” PSL27 / CC BY-SA 4.0 (cropped)
- Related lab (Geometry 2 (Discrete Group Theory) Lab): “Loop erased random walk in 2D” Cosmia Nebula / CC BY-SA 4.0 (cropped)
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