Updated on 2024/07/28

Information

 

写真a

 
MURAYAMA TAKUYA
 
Organization
Faculty of Mathematics Division of Analysis Assistant Professor
School of Sciences Department of Mathematics(Concurrent)
Graduate School of Mathematics Department of Mathematics(Concurrent)
Title
Assistant Professor
Contact information
メールアドレス
Profile
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.

Degree

  • Doctor of Science, Kyoto University

Research History

  • 中央大学理工学部物理学科 学振特別研究員PD,2021年4月~2022年3月   

Research Interests・Research Keywords

  • Research theme: 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

    Research period: 2022.4

Awards

  • 井上研究奨励賞

    2024.2   井上科学振興財団   平行截線半平面上のレヴナー鎖および発展族

  • 建部賢弘奨励賞

    2023.9   日本数学会   MSJ Takebe Katahiro Prize for Encouragement of Young Researchers

Papers

  • Loewner chains and evolution families on parallel slit half-planes Reviewed International journal

    Takuya Murayama

    Journal of Mathematical Analysis and Applications   526   2023.3

     More details

    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.jmaa.2023.127180

    Repository Public URL: https://hdl.handle.net/2324/7173554

  • On the continuity of half-plane capacity with respect to Carathéodory convergence Invited Reviewed International journal

    Takuya Murayama

    Springer Proceedings in Mathematics & Statistics   394   379 - 399   2022.8

     More details

    Language:English   Publishing type:Research paper (international conference proceedings)  

    DOI: 10.1007/978-981-19-4672-1_20

    Repository Public URL: https://hdl.handle.net/2324/7178587

  • 平行截線半平面上のレヴナー鎖および発展族

    村山 拓也

    2021.3

     More details

    Language:Others  

    Loewner chains and evolution families on parallel slit half-planes

    DOI: 10.14989/doctor.k22977

  • Univalence and holomorphic extension of the solution to ω-controlled Loewner–Kufarev equations Reviewed International journal

    Takafumi Amaba, Roland Friedrich, Takuya Murayama

    Journal of Differential Equations   269 ( 3 )   2697 - 2704   2020.7

     More details

    Language:Others   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.jde.2020.02.011

  • On the slit motion obeying chordal Komatu–Loewner equation with finite explosion time Reviewed International journal

    Takuya Murayama

    Journal of Evolution Equations   20 ( 1 )   233 - 255   2020.3

     More details

    Language:Others   Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/s00028-019-00519-3

  • Chordal Komatu–Loewner equation for a family of continuously growing hulls Reviewed International journal

    Takuya Murayama

    Stochastic Processes and their Applications   129 ( 8 )   2968 - 2990   2019.8

     More details

    Language:Others   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.spa.2018.08.012

  • Chordal Komatu-Loewner equation for a family of continuously growing hulls

    村山 拓也

    2018.3

     More details

    Language:Others  

    Chordal Komatu-Loewner equation for a family of continuously growing hulls

▼display all

Books

  • Stochastic Komatu-Loewner Evolutions

    Zhen-Qing Chen, Masatoshi Fukushima, Takuya Murayama(Role:Joint author)

    World Scientific  2023.2 

     More details

    Responsible for pages:256 pages.   Language:Japanese   Book type:Scholarly book

    DOI: 10.1142/13038

Presentations

  • multi-finger Loewner微分方程式とmultiple SLEに対する時間変更の方法 Invited

    村山拓也

    福岡複素解析シンポジウム  2024.3 

     More details

    Event date: 2024.3

    Language:Japanese  

    Venue:九州大学   Country:Japan  

  • Additive processes on the real line and Loewner chains

    村山拓也

    新潟確率論ワークショップ  2024.3 

     More details

    Event date: 2024.3

    Language:Japanese  

    Venue:新潟大学   Country:Japan  

  • Notes on locally uniform weak convergence with application to additive processes

    村山拓也

    マルコフ過程とその周辺  2024.2 

     More details

    Event date: 2024.2

    Language:Japanese  

    Venue:鹿児島県鹿児島市 天文館ビジョンホール   Country:Japan  

  • Notes on locally uniform weak convergence with application to additive processes

    村山拓也

    無限分解可能過程に関連する諸問題  2024.2 

     More details

    Event date: 2024.2

    Language:Japanese  

    Venue:統計数理研究所   Country:Japan  

  • multi-finger Loewner微分方程式とmultiple SLEに対する時間変更の方法 Invited

    村山拓也

    関西大学確率論研究会2024  2024.2 

     More details

    Event date: 2024.2

    Language:Japanese  

    Venue:関西大学梅田キャンパス   Country:Japan  

  • Some recent results on chordal Komatu-Loewner equation Invited International conference

    Takuya Murayama

    Geometric Function Theory in Several Complex Variables and Complex Banach Spaces  2023.12 

     More details

    Event date: 2023.12

    Language:English  

    Country:Other  

  • 非可換Lévy過程・加法過程と正則函数の半群・Loewner鎖

    村山拓也

    ランダム行列と自由確率論 workshop 2023  2023.11 

     More details

    Event date: 2023.11 - 2023.12

    Language:Japanese  

    Venue:名古屋大学   Country:Japan  

  • Loewner chains and evolution families on parallel slit half-planes International conference

    Takuya Murayama

    Stochastic Processes and Related Fields  2023.8 

     More details

    Event date: 2023.8

    Language:English  

    Venue:Research Institute for Mathematical Sciences, Kyoto University   Country:Japan  

  • Loewner chains and evolution families on parallel slit half-planes Invited

    村山拓也

    「等角写像論・値分布論」合同研究集会  2022.12 

     More details

    Event date: 2022.12

    Language:Japanese  

    Venue:青森県,八戸市美術館   Country:Japan  

  • 加法過程の分布の時刻に関する広義一様弱収束 Invited

    村山拓也

    大規模相互作用系の確率解析  2022.12 

     More details

    Event date: 2022.12

    Language:Japanese  

    Venue:九州大学 西新プラザ   Country:Japan  

  • Locally uniform weak convergence in time of the distributions of additive processes

    村山拓也

    関西確率論セミナー  2022.11 

     More details

    Event date: 2022.11

    Language:Japanese  

    Venue:京都大学   Country:Japan  

  • Loewner方程式について

    村山拓也

    第56回函数論サマーセミナー  2022.9 

     More details

    Event date: 2022.9

    Language:Others  

    Venue:愛媛大学   Country:Japan  

  • On the continuity of half-plane capacity with respect to Carath\'eodory convergence Invited International conference

    Takuya Murayama

    International Workshop on Dirichlet Forms and Related Topics  2022.8 

     More details

    Event date: 2022.8

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Kansai University   Country:Japan  

  • On the continuity of half-plane capacity with respect to Carath'eodory convergence Invited

    村山 拓也

    Riemann surfaces and related topics -In memory of Professor Yoichi Imayoshi  2022.2 

     More details

    Event date: 2022.2

    Language:Others  

    Venue:大阪市立大学(オンライン)   Country:Japan  

  • On the continuity of half-plane capacity with respect to Carath'eodory convergence Invited

    村山 拓也

    Workshop on Probabilistic Methods in Statistical Mechanics of Random Media and Random Fields 2022  2022.1 

     More details

    Event date: 2022.1

    Language:Others  

    Venue:九州大学(オンライン)   Country:Japan  

    On the continuity of half-plane capacity with respect to Carath'eodory convergence

  • On the continuity of half-plane capacity with respect to Carath'eodory convergence Invited

    村山 拓也

    非可換確率論と関連分野  2021.11 

     More details

    Event date: 2021.11

    Language:Others  

    Venue:名古屋大学   Country:Japan  

    On the continuity of half-plane capacity with respect to Carath'eodory convergence

  • On the continuity of half-plane capacity with respect to Carath'eodory convergence

    村山 拓也

    日本数学会 2021年度秋季総合分科会  2021.9 

     More details

    Event date: 2021.9

    Language:Others  

    Venue:千葉大学(オンライン)   Country:Japan  

    On the continuity of half-plane capacity with respect to Carath'eodory convergence

  • On the continuity of half-plane capacity with respect to Carath'eodory convergence

    村山 拓也

    確率論若手セミナー・オンライン  2021.8 

     More details

    Event date: 2021.8

    Language:Others  

    Venue:オンライン   Country:Other  

  • 複素上半平面上のchordal Loewner chainについて

    村山 拓也

    山口大学オンラインセミナー  2020.11 

     More details

    Event date: 2020.11 - 2020.12

    Language:Others  

    Venue:オンライン   Country:Other  

    11月18日,12月2日,12月9日の3日間にわたる連続講演

  • Loewner chains and evolution families on parallel slit half-planes

    村山 拓也

    第3回数理新人セミナー  2020.2 

     More details

    Event date: 2020.2

    Language:Others  

    Venue:名古屋大学   Country:Japan  

  • Loewner chains and evolution families on parallel slit half-planes

    村山 拓也

    確率論シンポジウム  2019.12 

     More details

    Event date: 2019.12

    Language:Others  

    Venue:慶応義塾大学   Country:Japan  

  • Loewner chains and evolution families on parallel slit half-planes

    村山 拓也

    第11回白浜研究集会  2019.12 

     More details

    Event date: 2019.12

    Language:Others  

    Venue:和歌山県西牟婁郡白浜町 紀州・白浜温泉 旅館むさし   Country:Japan  

  • Loewner chains and evolution families on parallel slit half-planes

    村山 拓也

    日本数学会 2019年度秋季総合分科会  2019.9 

     More details

    Event date: 2019.9

    Language:Others  

    Venue:金沢大学   Country:Japan  

    Loewner chains and evolution families on parallel slit half-planes

  • Loewner chains and evolution families on parallel slit half-planes

    村山 拓也

    確率論ヤングサマーセミナー  2019.8 

     More details

    Event date: 2019.8

    Language:Others  

    Venue:宮城県刈田郡蔵王町 遠苅田温泉さんさ亭   Country:Japan  

  • Loewner chains and evolution families on parallel slit half-planes

    村山 拓也

    第12回 日本数学会 季期研究所  2019.8 

     More details

    Event date: 2019.7 - 2019.8

    Language:Others  

    Venue:九州大学   Country:Japan  

    Loewner chains and evolution families on parallel slit half-planes

  • Chordal Komatu-Loewner equation for a family of continuously growing hulls

    村山 拓也

    日本数学会 2018年度秋季総合分科会  2018.9 

     More details

    Event date: 2018.9

    Language:Others  

    Venue:岡山大学   Country:Japan  

    Chordal Komatu-Loewner equation for a family of continuously growing hulls

  • Chordal Komatu-Loewner equation for a family of continuously growing hulls

    村山 拓也

    確率論サマースクール  2018.8 

     More details

    Event date: 2018.8

    Language:Others  

    Venue:名古屋大学   Country:Japan  

    Young Forumにおけるショートコミュミケーション

  • SLEとコード型小松・Loewner(レヴナー)方程式

    村山 拓也

    確率論ヤングサマーセミナー  2018.8 

     More details

    Event date: 2018.8

    Language:Others  

    Venue:愛知県田原市 休暇村伊良湖   Country:Japan  

  • Characterization of the explosion time for the Komatu-Loewner evolution

    村山 拓也

    確率論早春セミナー  2018.3 

     More details

    Event date: 2018.3

    Language:Others  

    Venue:神戸大学   Country:Japan  

  • Characterization of the explosion time for the Komatu-Loewner evolution

    村山 拓也

    確率論シンポジウム  2017.12 

     More details

    Event date: 2017.12

    Language:Others  

    Venue:東北大学   Country:Japan  

  • Characterization of the explosion time for the Komatu-Loewner evolution

    村山 拓也

    確率解析とその周辺  2017.10 

     More details

    Event date: 2017.10

    Language:Others  

    Venue:立命館大学   Country:Japan  

  • An explosion problem for moduli diffusions driving stochastic Komatu-Loewner evolution

    村山 拓也

    確率論ヤングサマーセミナー  2017.8 

     More details

    Event date: 2017.8

    Language:Others  

    Venue:岡山県倉敷市 国民宿舎良寛荘   Country:Japan  

  • Characterization of the explosion time for the Komatu-Loewner evolution

    村山 拓也

    大阪大学確率論セミナー  2018.1 

     More details

    Language:Others  

    Venue:大阪大学   Country:Japan  

  • 連続なhullに対する小松・Loewner方程式とその応用について

    村山 拓也

    関西確率論セミナー  2018.4 

     More details

    Language:Others  

    Venue:京都大学   Country:Japan  

  • Chordal Komatu-Loewner equation for a family of continuously growing hulls

    村山 拓也

    東京確率論セミナー  2018.5 

     More details

    Language:Others  

    Venue:東京大学   Country:Japan  

  • Chordal Komatu-Loewner equation for a family of continuously growing hulls

    村山 拓也

    九州確率論セミナー  2019.1 

     More details

    Language:Others  

    Venue:九州大学   Country:Japan  

  • Loewner chains and evolution families on parallel slit half-planes

    村山 拓也

    山口大学複素解析セミナー  2019.12 

     More details

    Language:Others  

    Venue:山口大学   Country:Japan  

  • Loewner chains and evolution families on parallel slit half-planes

    村山 拓也

    九州確率論セミナー  2020.1 

     More details

    Language:Others  

    Venue:九州大学   Country:Other  

  • 小松・Loewner微分方程式と対応するコンパクト集合族の局所成長性

    村山 拓也

    数学・数理科学専攻若手研究者のための異分野・異業種研究交流会  2020.10 

     More details

    Language:Others  

    Venue:オンライン   Country:Other  

  • Some recent results on chordal Komatu-Loewner equation Invited

    村山 拓也

    One-day workshop on Applied and Computational Complex Analysis (ACCA 2021)  2021.6 

     More details

    Language:Others  

    Venue:オンライン   Country:Other  

    Some recent results on chordal Komatu-Loewner equation

  • On the continuity of half-plane capacity with respect to Carath'eodory convergence

    村山 拓也

    東京確率論セミナー  2021.6 

     More details

    Language:Others  

    Venue:オンライン   Country:Other  

  • On the continuity of half-plane capacity with respect to Carath'eodory convergence Invited

    村山 拓也

    関西大学 確率論研究会2  2022.1 

     More details

    Language:Others  

    Venue:関西大学   Country:Japan  

▼display all

MISC

  • 確率論と複素解析 ~SLE, Loewner方程式が見せる多様な側面~

    村山拓也

    数理科学,サイエンス社   2022.7

     More details

    Language:Japanese   Publishing type:Article, review, commentary, editorial, etc. (scientific journal)  

    Repository Public URL: https://hdl.handle.net/2324/7178588

  • Loewner chains and evolution families on parallel slit half-planes

    村山 拓也

    第11回白浜研究集会 報告集   2020.2

     More details

    Language:Others  

Professional Memberships

  • The Mathematical Society of Japan

Academic Activities

  • 世話人(会場係)

    「等角写像論・値分布論」合同研究集会  ( Japan ) 2024.2

     More details

    Type:Competition, symposium, etc. 

  • 運営委員

    第2回数理新人セミナー  ( Japan ) 2019.2

     More details

    Type:Competition, symposium, etc. 

Research Projects

  • SLEを拡張する共形不変確率場に対する横断的理論の構築

    Grant number:22K20341  2022 - 2023

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Research Activity start-up

      More details

    Authorship:Principal investigator  Grant type:Scientific research funding

  • 多重連結領域上のSLEと共形不変な確率場および臨界現象の解明

    Grant number:21J00656  2021

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for JSPS Fellows

      More details

    Grant type:Scientific research funding

  • 多重連結領域におけるLoewner方程式とSLE理論

    Grant number:19J13031  2019 - 2020

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for JSPS Fellows

      More details

    Grant type:Scientific research funding

Educational Activities

  • 主に,理学部数学科の演習科目を担当しています.

Class subject

  • 統計数学・演習

    2023.10 - 2024.3   Second semester

  • 情報統計学演習

    2023.10 - 2024.3   Second semester

  • 情報解析学演習

    2023.10 - 2024.3   Second semester

  • 数学概論IV・演習

    2023.10 - 2024.3   Second semester

  • 統計数学・演習

    2022.10 - 2023.3   Second semester

  • 数学概論Ⅳ・演習

    2022.10 - 2023.3   Second semester

  • 情報解析学演習

    2022.10 - 2023.3   Second semester

  • 情報統計学演習

    2022.10 - 2023.3   Second semester

▼display all

FD Participation

  • 2022.4   Role:Participation   Title:数理学府FD

    Organizer:[Undergraduate school/graduate school/graduate faculty]

  • 2022.4   Role:Participation   Title:令和4年度 第1回全学FD(新任教員の研修)The 1st All-University FD (training for new faculty members) in FY2022

    Organizer:University-wide