Shuta Nakajima

Senior Lecturer at Meiji University


Education

  • April 2007 - March 2010
    Hamamatsu Kita High School
  • April 2010 - March 2014
    Nagoya University
  • April 2014 - March 2016
    Master in Research Institute for Mathematical Sciences, Kyoto University
  • April 2016 - March 2019
    Ph.D. in Research Institute for Mathematical Sciences, Kyoto University
    Advisor: Ryoki Fukushima

教育

  • 2007年4月 - 2010年3月
    浜松北高等学校
  • 2010年4月 - 2014年3月
    名古屋大学 理学部
  • 2014年4月 - 2016年3月
    京都大学 数理解析研究所 修士課程
  • 2016年4月 - 2019年3月
    京都大学 数理解析研究所 博士課程
    指導教員: 福島竜輝准教授

Academic Position

  • April 2016 - March 2019
    JSPS Research Fellow DC1 at Kyoto University
  • April 2019 - March 2020
    JSPS Research Fellow (Postdoc) at Nagoya University
    Under Nobuo Yoshida
  • April 2020 - March 2022
    Postdoctoral researcher at University of Basel
    Under David Belius
  • April 2022 - present
    Senior Lecturer at Meiji University

職歴

  • 2016年4月 - 2019年3月
    京都大学 JSPS特別研究員DC1
  • 2019年4月 - 2020年3月
    名古屋大学 JSPSポスドク研究員
    受入研究員: 吉田伸生教授
  • 2020年4月 - 2022年3月
    バーゼル大学 ポスドク研究員
    採用者: David Belius
  • 2022年4月 - 現在
    明治大学 専任講師

Awards

2018th Takebe Prize

賞罰

2018年度建部賞

Publications

  1. Can, Van Hao; Kubota, Naoki; Nakajima, Shuta. "Lipschitz-type estimate for the frog model with Bernoulli initial configuration." Math. Phys. Anal. Geom., to appear.
  2. Can, Van Hao; Quyết, Nguyễn Văn; Nakajima, Shuta. "Lipschitz continuity of time constants in generalized FPP." Stochastic Process. Appl., to appear.
  3. Maillard, Antoine; Bandeira, Afonso S.; Belius, David; Dokmanic, Ivan; Nakajima, Shuta. "Injectivity of ReLU networks: perspectives from statistical physics." Applied and Computational Harmonic Analysis (76).
  4. Cosco, Clément; Nakajima, Shuta; Schweiger, Florian. "Asymptotics of the p-capacity in the critical regime." J. Convex Anal., to appear.
  5. Cosco, Clément; Nakajima, Shuta. "A variational formula for large deviations in first-passage percolation under tail estimates." Ann. Appl. Probab. 33 (2023), no. 3, 2103--2135.
  6. Nakajima, Shuta; Sun, Nike. "Sharp threshold sequence and universality for Ising perceptron models." Proceedings of the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA), 638--674, SIAM, Philadelphia, PA, 2023.
  7. E. Bolthausen, S. Nakajima, N. Sun, C. Xu. "Gardner formula for Ising perceptron models at small densities." Conference on Learning Theory, 1787-1911, 2023.
  8. Nakajima, Shuta; Nakashima, Makoto. "Fluctuations of two-dimensional stochastic heat equation and KPZ equation in subcritical regime for general initial conditions." Electron. J. Probab. 28 (2023), Paper No. 1, 38 pp.
  9. Cosco, Clément; Nakajima, Shuta; Nakashima, Makoto. "Law of large numbers and fluctuations in the sub-critical and \(L^2\) regions for SHE and KPZ equation in dimension \(d \geq 3\)." Stochastic Process. Appl. 151 (2022), 127--173.
  10. Nakajima, Shuta. "Maximal edge-traversal time in First Passage Percolation." Electron. J. Probab. 27 (2022), Paper No. 19, 32 pp.
  11. David Belius, Jiří Černý, Marius Schmidt, Shuta Nakajima. "Triviality of the geometry of mixed p-spin spherical Hamiltonians with external field." J. Stat. Phys. 186 (2022), no. 1, Paper No. 12, 34 pp.
  12. Cosco, Clément; Nakajima, Shuta. "Gaussian fluctuations for the directed polymer partition function for \(d \geq 3\) and in the whole \(L^2\)-region." Ann. Inst. Henri Poincaré Probab. Stat. 57 (2021), no. 2, 872--889.
  13. Nakajima, Shuta. "Divergence of shape fluctuation for general distributions in first-passage percolation." Ann. Inst. Henri Poincaré Probab. Stat. 56 (2020), no. 2, 782--791.
  14. Nakajima, Shuta. "Divergence of non-random fluctuation in first passage percolation." Electron. Commun. Probab. 24 (2019), Paper No. 65, 13 pp.
  15. Can, Van Hao; Nakajima, Shuta. "First passage time of the frog model has a sublinear variance." Electron. J. Probab. 24 (2019), Paper No. 76, 27 pp.
  16. Nakajima, Shuta. "On properties of optimal paths in first-passage percolation." J. Stat. Phys. 174 (2019), no. 2, 259--275.
  17. Nakajima, Shuta. "Concentration results for directed polymer with unbounded jumps." ALEA Lat. Am. J. Probab. Math. Stat. 15 (2018), no. 1, 1--20.
  18. Comets, Francis; Fukushima, Ryoki; Nakajima, Shuta; Yoshida, Nobuo. "Limiting results for the free energy of directed polymers in random environment with unbounded jumps." J. Stat. Phys. 161 (2015), no. 3, 577--597.

出版物

  1. Can, Van Hao; Kubota, Naoki; Nakajima, Shuta. "Lipschitz-type estimate for the frog model with Bernoulli initial configuration." Math. Phys. Anal. Geom., to appear.
  2. Can, Van Hao; Quyết, Nguyễn Văn; Nakajima, Shuta. "Lipschitz continuity of time constants in generalized FPP." Stochastic Process. Appl., to appear.
  3. Maillard, Antoine; Bandeira, Afonso S.; Belius, David; Dokmanic, Ivan; Nakajima, Shuta. "Injectivity of ReLU networks: perspectives from statistical physics." Applied and Computational Harmonic Analysis (76).
  4. Cosco, Clément; Nakajima, Shuta; Schweiger, Florian. "Asymptotics of the p-capacity in the critical regime." J. Convex Anal., to appear.
  5. Cosco, Clément; Nakajima, Shuta. "A variational formula for large deviations in first-passage percolation under tail estimates." Ann. Appl. Probab. 33 (2023), no. 3, 2103--2135.
  6. Nakajima, Shuta; Sun, Nike. "Sharp threshold sequence and universality for Ising perceptron models." Proceedings of the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA), 638--674, SIAM, Philadelphia, PA, 2023.
  7. E. Bolthausen, S. Nakajima, N. Sun, C. Xu. "Gardner formula for Ising perceptron models at small densities." Conference on Learning Theory, 1787-1911, 2023.
  8. Nakajima, Shuta; Nakashima, Makoto. "Fluctuations of two-dimensional stochastic heat equation and KPZ equation in subcritical regime for general initial conditions." Electron. J. Probab. 28 (2023), Paper No. 1, 38 pp.
  9. Cosco, Clément; Nakajima, Shuta; Nakashima, Makoto. "Law of large numbers and fluctuations in the sub-critical and \(L^2\) regions for SHE and KPZ equation in dimension \(d \geq 3\)." Stochastic Process. Appl. 151 (2022), 127--173.
  10. Nakajima, Shuta. "Maximal edge-traversal time in First Passage Percolation." Electron. J. Probab. 27 (2022), Paper No. 19, 32 pp.
  11. David Belius, Jiří Černý, Marius Schmidt, Shuta Nakajima. "Triviality of the geometry of mixed p-spin spherical Hamiltonians with external field." J. Stat. Phys. 186 (2022), no. 1, Paper No. 12, 34 pp.
  12. Cosco, Clément; Nakajima, Shuta. "Gaussian fluctuations for the directed polymer partition function for \(d \geq 3\) and in the whole \(L^2\)-region." Ann. Inst. Henri Poincaré Probab. Stat. 57 (2021), no. 2, 872--889.
  13. Nakajima, Shuta. "Divergence of shape fluctuation for general distributions in first-passage percolation." Ann. Inst. Henri Poincaré Probab. Stat. 56 (2020), no. 2, 782--791.
  14. Nakajima, Shuta. "Divergence of non-random fluctuation in first passage percolation." Electron. Commun. Probab. 24 (2019), Paper No. 65, 13 pp.
  15. Can, Van Hao; Nakajima, Shuta. "First passage time of the frog model has a sublinear variance." Electron. J. Probab. 24 (2019), Paper No. 76, 27 pp.
  16. Nakajima, Shuta. "On properties of optimal paths in first-passage percolation." J. Stat. Phys. 174 (2019), no. 2, 259--275.
  17. Nakajima, Shuta. "Concentration results for directed polymer with unbounded jumps." ALEA Lat. Am. J. Probab. Math. Stat. 15 (2018), no. 1, 1--20.
  18. Comets, Francis; Fukushima, Ryoki; Nakajima, Shuta; Yoshida, Nobuo. "Limiting results for the free energy of directed polymers in random environment with unbounded jumps." J. Stat. Phys. 161 (2015), no. 3, 577--597.

Invited Talks

"Maximum of partition functions for 2D directed polymers in subcritical regime", Probability Workshop in Korea 2025, Soul, Korea, 2025, 1月.
"Sharp thresholds and universality in Ising perceptron models", Kansai probability Seminar, Kyoto, 2024, 11月.
"Equivalence of fluctuations between SHE and KPZ in weak disorder", Recent developments in Kardar-Parisi-Zhang universality, Yukawa Hall, Japan, 2024, 9月.
"Sharp thresholds and universality in Ising perceptron models", TPW2024, Taiwan, 2024, 6月.
"Upper tail large deviation for the one-dimensional frog model", KIAS APP Seminar, Korea, 2024, 5月.
"On upper tail large deviation rate function for chemical distance in super-critical percolation", Interacting particle systems and SPDEs, BIMSA, Beijing, China, 2024, 3月.
"Upper Tail Large Deviation and Its Application to Maximal Edge-Traversal Time in First-Passage Percolation", IHES seminar, IHES seminar, France, 2024, 3月.
"On upper tail large deviation rate function for chemical distance in super-critical percolation", Dauphine-PSL Paris probability seminar, Dauphine-PSL Paris, France, 2024, 3月.
"Equivalence of fluctuations between SHE and KPZ in weak disorder", French Japanese conference, IHES, France, 2024, 3月.
"Equivalence of fluctuations between SHE and KPZ in weak disorder", Random Interacting Systems, Scaling Limits, and Universality, IMS, Singapore, 2023, 12月.
"Leading order of maximal edge-traversal time in First-passage percolation", SPRF, Kyoto, Japan, 2023, 9月.
"On upper tail large deviation rate function for chemical distance in super-critical percolation", Percolation today (online), 2023, 5月.
"First-passage percolationとその周辺", 日本数学会特別講演, Chuo University, Tokyo, Japan, 2023, 3月.
"高次元のKPZ方程式とその周辺", 数理新人セミナー特別講演, Kyushu University, Fukuoka, Japan, 2023, 2月.
"On upper tail large deviation rate function for chemical distance in super-critical percolation", LN-UMN Joint Probability Seminar (online), 2022, 11月.
"A variational formula for large deviations in First-passage percolation under tail estimates", ICTS, Bengaluru, India, 2022, 7月.
"A variational formula for large deviations in First-passage percolation under tail estimates", Zurich University, Zurich, Switzerland, 2022, 2月.
'The fluctuations in the L2 region for the KPZ equation in dimension three and higher', CIRM, Marseille, France, 2021, 9月.
"Triviality of the geometry of mixed p-spin spherical Hamiltonians with external field", 確率解析とその周辺, Online, 2020年, 11月.
"Gaussian Fluctuations in Directed Polymers", Probability Seminar Series, NYU Shanghai, China, 2019, September.
"Divergence of non-random fluctuation in First-passage percolation", The 12th Mathematical Society of Japan, Seasonal Institute (MSJ-SI) Stochastic Analysis, Random Fields and Integrable Probability, Kyushu University, Japan, 2019, August.
"Central limit theorems in directed polymer", Seminar in Probability Theory and Statistics, Basel University, Basel, Switzerland, 2019, June.
"Central limit theorems in directed polymers", Japan Netherlands workshop probabilistic methods in statistical mechanics of random media, Leiden University, Leiden, Netherlands, 2019, June.
"Ergodic property of the number of infinite geodesics in First-passage percolation", Gaussian Free Fields and Related Topics, Kyoto University, Kyoto, Japan, 2018, September.
"The cardinality of infinite geodesics originating from zero in First Passage Percolation", 東京確率論セミナー, 東京大学, 2017年, 5月.
"Maximal edge-traversal time in first passage percolation", 15th workshop on Stochastic Analysis on Large Scale Interacting Systems, Tokyo University, Tokyo, Japan, 2016, November.
"Concentration of first passage percolation", 14th Stochastic Analysis on Large Scale Interacting Systems, Kyoto University, Kyoto, Japan, 2015, October.
"Concentration for first passage percolation", The Third NIMS Summer School in Probability, National Institute for Mathematical Sciences, Daejeon, South Korea, 2015, June.