Updated on 2022/03/25

写真a

 
NAKASHIMA Makoto
 
Organization
Graduate School of Mathematics Division of Mathematics Advanced Topology Associate professor
Graduate School
Graduate School of Mathematics
Undergraduate School
School of Science Department of Mathematics
Title
Associate professor

Degree 1

  1. 博士(理学) ( 2012.3   京都大学 ) 

Research Interests 2

  1. polymer model

  2. Branching process

Research History 2

  1. Nagoya University   Associate professor

    2015.11

  2. University of Tsukuba, Division of Mathematics, Assistant professor   Assistant Professor

    2012.4 - 2015.11

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    Country:Japan

Education 2

  1. Kyoto University   Graduate School, Division of Science

    - 2012.3

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    Country: Japan

  2. Kyoto University   Faculty of Science

    - 2007.3

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    Country: Japan

Professional Memberships 1

  1. 日本数学会

Committee Memberships 1

  1. 日本数学会   中部支部評議員  

    2019.4 - 2020.3   

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    Committee type:Academic society

Awards 1

  1. 日本数学会賞建部賢弘賞奨励賞

    2014.9   日本数学会  

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    Country:Japan

 

Papers 10

  1. Free energy of directed polymers in random environment in 1+1-dimension at high temperature

    Nakashima Makoto

    ELECTRONIC JOURNAL OF PROBABILITY   Vol. 24   2019

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    Language:Japanese  

    DOI: 10.1214/19-EJP292

    Web of Science

  2. The free energy of the random walk pinning model

    Nakashima Makoto

    STOCHASTIC PROCESSES AND THEIR APPLICATIONS   Vol. 128 ( 2 ) page: 373-403   2018.2

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

    DOI: 10.1016/j.spa.2017.04.015

    Web of Science

  3. Branching random walks in random environment and super-Brownian motion in random environment Reviewed

    Annales de l'Institut Henri Poincaré, Probabilités et Statistiques   Vol. 51 ( 4 ) page: 1251-1289   2015

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

  4. A remark on the bound for the free energy of directed polymers in random environment in 1+2 dimension Reviewed

    Journal of Mathematical Physics   Vol. 55   2014

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1063/1.4895760

  5. Lower deviations of branching processes in random environment with geometrical offspring distribution, Reviewed

    Makoto Nakashima

    Stochastic Processes and their Applications   Vol. 123 ( 9 ) page: 3560 - 3587   2013.9

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    Authorship:Lead author, Last author, Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: https://doi.org/10.1016/j.spa.2013.04.013

  6. Minimal Positions of Branching Random Walks in Random Environment Reviewed

    Makoto Nakashima

    Journal of Theoretical Probability volume   Vol. 26 ( 4 ) page: 1181 - 1217   2012.3

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    Authorship:Lead author, Last author, Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: https://doi.org/10.1007/s10959-012-0410-y

  7. Almost sure central limit theorem for branching random walks in random environment Reviewed

    Makoto Nakashima

    The Annals of Applied Probability   Vol. 21 ( 1 ) page: 351 - 373   2011.2

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    Authorship:Lead author, Last author, Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1214/10-AAP699

  8. A Remark on Localization for Branching Random Walks in Random Environment Reviewed International coauthorship

    Hadrian Heil, Makoto Nakashima

    Electronic Communications in Probability   Vol. 16   page: 323 - 336   2011

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    Authorship:Lead author, Last author, Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1214/ECP.v16-1603

  9. Branching Random Walks in Random Environment are Diffusive in the Regular Growth Phase Reviewed International coauthorship

    Hadrian Heil, Makoto Nakashima, Nobuo Yoshida

    Electronic Journal of Probability   Vol. 16   page: 1318 - 1340   2011

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    Authorship:Last author, Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1214/EJP.v16-922

  10. Central Limit Theorems for Linear Stochastic Evolutions Invited Reviewed

    Makoto Nakashima

    Journal of Mathematics of Kyoto University   Vol. 49 ( 1 ) page: 201 - 224   2009

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    Authorship:Lead author, Last author, Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1215/kjm/1248983037

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MISC 4

  1. 高次元確率熱方程式とKPZ方程式のL²-領域における摂動 (確率論シンポジウム)

    中島 誠

    数理解析研究所講究録   ( 2177 ) page: 96 - 103   2021.4

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    Language:Japanese   Publisher:京都大学数理解析研究所  

    本稿ではClément Cosco氏(Weizmann Institute of Science)および中島秀太氏(Universität Basel)との共同研究[12, 27]について報告する.

  2. Fluctuations of two-dimensional stochastic heat equation and KPZ equation in subcritical regime for general initial conditions

    Shuta Nakajima, Makoto Nakashima

        2021.3

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    Language:English   Publishing type:Internal/External technical report, pre-print, etc.  

  3. Two-sided bounds on free energy of directed polymers on strongly recurrent graphs

    Naotaka Kajino, Kosei Konishi, Makoto Nakashima

        2020.10

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    Language:English   Publishing type:Internal/External technical report, pre-print, etc.  

  4. Law of large numbers and fluctuations in the sub-critical and $L^2$ regions for SHE and KPZ equation in dimension $d\geq 3$ International coauthorship

    Clément Cosco, Shuta Nakajima, Makoto Nakashima

        2020.5

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    Authorship:Lead author, Last author, Corresponding author   Language:English   Publishing type:Internal/External technical report, pre-print, etc.  

Presentations 11

  1. Gaussian fluctuations of stochastic heat equation and KPZ equation in higher dimension in L^2 regime Invited International coauthorship

    Workshop on Probabilistic Methods in Statistical Mechanics of Random Media and Random Fields 2022  2022.1.13  Frank den Hollander, Evgeny Verbitskiy, Tomoyuki Shirai, Shota Osada

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    Event date: 2022.1

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  2. 高次元確率熱方程式とKPZ方程式の L 2 -領域における解の摂動 Invited

    中島誠

    2021.12.9  長田博文, 角田謙吉, 永幡幸生, 福島竜輝, 舟木直久

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    Event date: 2021.12

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:online   Country:Japan  

  3. Gaussian fluctuations of stochastic heat equation and KPZ equation in higher dimension in subcritical regime Invited International conference

    Makoto Nakashima

    Rigorous Statistical Mechanics and Related Topics  2021.11.19 

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    Event date: 2021.11

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  4. Fluctuation in L^2-region for stochastic heat equation and KPZ equation in higher dimension Invited

    2021.5.21 

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    Event date: 2021.5

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  5. Fluctuation in L^2-region for stochastic heat equation and KPZ equation in higher dimension

    2021.3.15 

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    Event date: 2021.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  6. 高次元確率熱方程式と KPZ 方程式の L2-領域における摂動

    中島誠

    確率論シンポジウム  2020.12.23  桑江一洋

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    Event date: 2020.12

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:京都大学   Country:Japan  

  7. Random pinning model related to directed polymers in random environment Invited International conference

    Makoto Nakashima

    Workshop on Probabilistic Methods in Statistical Mechanics of Random Media and Random Fields  2019.5.28  Frank den Hollander, Evgeny Verbitskiy, Tomoyuki Shirai

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    Event date: 2019.5

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Leiden University   Country:Netherlands  

  8. Free energy of directed polymers in random environment Invited International conference

    Makoto Nakashima

    The First China-Japan-Korea Probability Workshop  2019.5.11  Zhen-Qing Chen, Panki Kim, Takashi Kumagai, and Zhi-Ming Ma

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    Event date: 2019.5

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:Beijing Institute of Technology   Country:China  

  9. Free energy of directed polymers in random environment Invited International conference

    Makoto Nakashima

    Okayama Workshop on Stochastic Analysis 2019  2019.2.6  Seiichiro Kusuoka

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    Event date: 2019.2

    Language:English  

    Country:Japan  

  10. Free energy of directed polymers in random environment Invited International conference

    Makoto Nakashima

    Gaussian Free Fields and Related Topics  2018.9.20  Naotaka Kajino, Takashi Kumagai, Daisuke Shiraishi

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    Event date: 2018.9

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  11. Free energy of directed polymers in random environment in 1 + 1 dimension Invited International conference

    Makoto Nakashima

    Stochastic partial differential equations and related topics  2018.7.27 

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    Event date: 2018.7

    Language:English  

    Country:Japan  

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KAKENHI (Grants-in-Aid for Scientific Research) 5

  1. Analysis and geometry of fractals and stochastic processes on them from field-transverse viewpoints

    Grant number:18H01123  2018.4 - 2022.3

    Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (B)

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    Authorship:Coinvestigator(s) 

  2. Analysis of statistical mechanical models evolving in random media

    Grant number:18K13423  2018.4 - 2022.3

    Grant-in-Aid for Early-Career Scientists

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    Authorship:Principal investigator 

    Grant amount:\4160000 ( Direct Cost: \3200000 、 Indirect Cost:\960000 )

  3. Analysis of branching process with interacting particle systems

    Grant number:26800051  2014.4 - 2018.3

    Nakashima Makoto

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    Authorship:Principal investigator 

    Grant amount:\2990000 ( Direct Cost: \2300000 、 Indirect Cost:\690000 )

    Asymptotics of logarithms of the total number of branching random walks in random environment are controlled by the free energy of directed polymers in random environment.
    We gave estimates of free energies for directed polymers in random environment in 1 and 2 dimensions.
    Also, we study the random walk pinning model to analyze the critical points of directed polymers in random environment in higher dimension. We found that two critical points coincide with each other and we proved the central limit theorem and invariance principle in the subcritical phase for dimension d\geq 3.

  4. 個体間に強い相互作用を持つ分枝過程の解析

    2014.4 - 2017.3

    科学研究費補助金  若手研究(B)

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    Authorship:Principal investigator 

  5. Phase transition in stochastic models and its analysis near critical point

    2012.8 - 2014.3

    Grant-in-Aid for Scientific Research 

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    Authorship:Principal investigator 

 

Teaching Experience (Off-campus) 1

  1. 確率微分方程式

    2020.6 - 2020.7 Nara Women's University)

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    Level:Postgraduate 

 

Academic Activities 1

  1. 確率論若手セミナー

    Role(s):Planning, management, etc.

    中島誠  2020.9

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    Type:Academic society, research group, etc.