LAB LOGA page on LabLog, a review site (not the lab's official page)
Geometry 2 (Dynamical Systems, Ergodic Theory) Lab (Masaki Tsukamoto)
Machine-translated · View original
A lab that focuses on the mean dimension of dynamical systems.
AboutAbout the lab
Measuring the degrees of freedom of a changing system
The Tsukamoto Lab mainly studies the mean dimension of dynamical systems, which are systems that change over time.
Mean dimension is the number of degrees of freedom a dynamical system has per unit time, and it was introduced by Gromov in 1999.
The lab studies both the application of geometry to differential equations and applications to problems in topological dynamics.
In the course of this work, the lab found that rate-distortion theory from information theory is deeply connected to mean dimension.
Key terms
- Dynamical system
- A mathematical description of a system whose state changes over time
- Mean dimension
- The number of degrees of freedom a dynamical system has per unit time
- Rate-distortion theory
- A theory that studies how far information can be compressed when some loss of information is acceptable
ResearchResearch themes
The lab studies the mean dimension of dynamical systems as its central theme. It investigates both the application to geometry that Gromov aimed for and applications to topological dynamical systems.
View More ↗
MembersFaculty
- ProfessorMasaki Tsukamoto
VoicesStudent voices
Ratings and reviews reflect the experiences of individual current or former students, not the lab's official views. Whether a lab has reviews, or how many, says nothing about the lab itself.
Students who take part in an interview may receive a thank-you gift worth ¥1,000, regardless of what they say.
Student ratings (0 students)
--
--
--
--
--
--
Student voices answer questions like these
- What's great about this lab?
- What did you learn after joining?
- What's the vibe, and what is the professor like?
- Who is this lab for?
- Where do graduates go?
Your experience can help younger students choose their lab. Your name won't be shown.
Write a lab reviewAnonymous · Your draft is saved if you stopRelatedLabs similar to Geometry 2 (Dynamical Systems, Ergodic Theory) Lab (Masaki Tsukamoto)
Algebra 1 (Number Theory) Lab (Ito)Faculty of Science, School of ScienceResearch in arithmetic geometry, which investigates problems…
Analysis 1 (Real Analysis) Lab (Yohei Tsutsui)Faculty of Science, School of ScienceReal analysis, centered on the analysis of various operators…
Animal Behavior LabFaculty of Science, School of ScienceIndividual-based studies of wild animal behavior, emphasizin…
Analysis 2 (Probability Theory) Lab (Masanori Hino)Faculty of Science, School of ScienceStochastic analysis on complex spaces using Dirichlet form t…The information on this page is compiled by the LabLog team from the lab's public information and interviews. For corrections or removal requests, please contact LabLog, not the lab.
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: “Lorenz caos2” António Miguel de Campos / Public domain (cropped)
- Three Themes in Mean Dimension: “Thomas' cyclically symmetric attractor” Anders Sandberg / CC BY-SA 4.0 (cropped)
- Related lab (Algebra 1 (Number Theory) Lab (Ito)): “EllipticGroup” Thomas Cooper / Public domain (cropped)
- Related lab (Analysis 1 (Real Analysis) Lab (Yohei Tsutsui)): “Fourier Series-Square wave 3 H” Saisundar.s / CC BY-SA 4.0 (cropped)
- Related lab (Animal Behavior Lab): “Rhabdophis tigrinus 5778854” Kim, Hyun-tae / CC BY 4.0 (cropped)
- Related lab (Analysis 2 (Probability Theory) Lab (Masanori Hino)): “Sierpinski-Pyramide Spitze 8K OpenCL HQ” PantheraLeo1359531 / CC BY 4.0 (cropped)
About LabLog
LabLog is a lab review app for students only. Student members at each university interview students in labs and publish what they say. Student voices can only be read by students who sign up with a university email address. Operated by bestiee Inc.
Learn more about LabLog ↗Search engines and AI may reference the basic lab info and rating summaries on this page and the description of LabLog. Student voices are for student members only. Automated collection by programs (scraping, or input to or training of AI) is prohibited under Article 8 of the Terms of Service. If you need data for research or analysis, please contact us.