| Murayama Takuya | Last modified date：2024.04.03 |
Undergraduate School
E-Mail *Since the e-mail address is not displayed in Internet Explorer, please use another web browser:Google Chrome, safari.
Homepage
https://kyushu-u.elsevierpure.com/en/persons/takuya-murayama
Reseacher Profiling Tool Kyushu University Pure
Academic Degree
Doctor of Science, Kyoto University
Country of degree conferring institution (Overseas)
No
Field of Specialization
probability theory, complex analysis
ORCID(Open Researcher and Contributor ID)
0000-0003-3987-2837
Total Priod of education and research career in the foreign country
00years00months
Outline Activities
Many "critical phenomena", important in statistical physics and probability theory, are conjectured or already known to be conformally invariant. In two dimension, this invariance can be regarded as the invariance under conformal mappings in complex analysis. "Schramm-Loewner evolution" (SLE) was introduced as a stochastic process which has such a conformal invariance. SLE is the random time-evolution of a family of conformal mappings; in view of complex analysis, it is described by the Loewner differential equation. This equation was originally employed to prove the Bieberbach conjecture, but there are many other possible applications in physics and mathematics, including SLE, integrable systems, Hele-Shaw flow, and non-commutative probability. Under these backgrounds, I'm studying SLE and the Loewner equation from both probabilistic and complex-analytic points of view.
Research
Research Interests
Membership in Academic Society
- Loewner equation and Schramm-Loewner evolution on multiply connected domains
keyword : stochastic analysis, geometric function theory, Schramm-Loewner evolution, multiply connected domain, Komatu-Loewner equation, Brownian motion with darning
2022.04.
- The Mathematical Society of Japan
- MSJ Takebe Katahiro Prize for Encouragement of Young Researchers
Unauthorized reprint of the contents of this database is prohibited.