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Physical Statistics Lab
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The lab uses chaos theory and statistics to solve phenomena in which many interacting elements are intertwined.
AboutAbout the lab
Unraveling the complexity that many elements create.
The Physical Statistics Lab aims to understand, in a unified mathematical way, the complex phenomena that arise when many elements strongly influence one another, and to apply that understanding to information processing.
The lab studies systems in which many elements are intertwined: molecules gather to form matter, people gather to form society, and connected computers form the Internet.
The lab analyzes these systems using nonequilibrium statistical physics, computer experiments, stochastic process theory, dynamical systems theory, chaos theory, and more.
Key terms
- Chaos
- Behavior that follows fixed rules, yet in which tiny differences at the start lead to greatly different futures, making prediction difficult
- Ionosphere
- A layer of Earth's upper atmosphere in which free electrons are spread out; it affects satellite communications
- Correlation analysis
- A method for examining how similarly multiple sets of data vary
ResearchResearch themes
Using statistical physics and chaos theory, the lab clarifies the foundations of many-body problems that look different on the surface but share common difficulties, such as neural networks as models of the brain, molecular motors, price fluctuations, and optimization problems, and applies the results to information processing.
*Illustrative imageComplex phenomena of many elements
Focusing on the difficulties shared by neural networks, glass formation, molecular motors, price fluctuations, and optimization problems, the lab clarifies the foundations of many-body problems using statistical physics, computer experiments, chaos theory, and more.
*Illustrative imageIonospheric anomalies just before large earthquakes
The lab developed a correlation analysis method that uses data from multiple GPS stations, and succeeded in detecting anomalies in the electron count of the ionosphere overhead just before earthquakes of magnitude 7 or greater, including the Tohoku-oki earthquake and the Kumamoto earthquakes.
*Illustrative imageCorrectly measuring the randomness of random numbers
One of the randomness tests for random numbers, used to evaluate the security of cryptography, was found to contain a theoretical error. The lab mathematically showed the correct method of evaluation.
MembersFaculty
The faculty of the Physical Statistics Lab are Professor Ken Umeno, Assistant Professor Hajime Koike, and Program-Specific Assistant Professor Hiroki Tanaka.
- ProfessorKen Umeno
- Assistant ProfessorHajime Koike
- Program-Specific Assistant ProfessorHiroki Tanaka
VoicesStudent voices
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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: “Chaos Theory & Double Pendulum - 3” Cristian V. / CC BY-SA 4.0 (cropped)
- Complex phenomena of many elements: “JM marbles 01” Joe Mabel / CC BY-SA 3.0 (cropped)
- Ionospheric anomalies just before large earthquakes: “GNSS reference station, White Park Bay” Rorosyfingers / CC BY-SA 4.0 (cropped)
- Correctly measuring the randomness of random numbers: “Medieval lead die showing one side (FindID 518067)” All rights reserved, Kevin Clark, :20:27 / CC BY-SA 2.0 (cropped)
- Related lab (Nonlinear Dynamics and Computational Physics Group): “Mandel zoom 11 satellite double spiral” Created by Wolfgang Beyer with the program Ultra Fractal 3. / CC BY-SA 3.0 (cropped)
- Related lab (Theoretical Neuroscience and Mathematics of Nonequilibrium Systems Group): “Neuron Heart” Piku4chemia / CC BY-SA 4.0 (cropped)
- Related lab (Collective Intelligence Systems Lab): “DataAppliedWeb” Marksenizer / CC BY-SA 3.0 (cropped)
- Related lab (Agreement Informatics Lab): “Discussion Between National Consensus Commission And Nationalist Likeminded Alliance (PID-0002082)” Press Information Department / Public domain (cropped)
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