MF Researcher Database

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Kamijima　Yoshinori

    Department of Information Networking for Innovation and Design　Assistant Professor
Last Updated :2025/06/06

Researcher Information

Degree

  • the degree of Doctor of Philosophy in the field of Mathematics（2021/03 Hokkaido University）
  • Master's degree（2017/03 Hokkaido University）

URL

Research funding number

  • 30912646

ORCID ID

J-Global ID

Research Interests

  • Mathematical physics   Statistical mechanics   Probability theory   Phase transition   Critical phenomena   Lace expansion   Self-avoiding walk   Percolation   Spin systems   

Research Areas

  • Natural sciences / Basic analysis / Probability theory
  • Natural sciences / Mathematical physics and basic theory / Statistical physics

Academic & Professional Experience

  • 2024/03 - Today  Toyo UniversityInformation Networking for Innovation And DesignAssistant Professor
  • 2021/08 - 2024/03  National Center for Theoretical SciencesPostdoctoral Fellow
  • 2021/04 - 2021/08  Hokkaido UniversityEducation and Research Center for Mathematical and Data ScienceResearch Fellow

Education

  • 2017/04 - 2021/03  Hokkaido University  Graduate School of Science  Department of Mathematics
  • 2015/04 - 2017/03  Hokkaido University  Graduate School of Science  Department of Mathematics
  • 2011/04 - 2015/03  Niigata University  Faculty of Science  Department of Physics
  • 2008/04 - 2011/03  長野県伊那北高等学校  普通科

Association Memberships

  • The Mathematical Society of Japan   

Published Papers

Conference Activities & Talks

  • Yoshinori Kamijima
    Mathematical Physics Seminar  2025/03  Invited oral presentation  Ito Campus, Kyushu University  Fumio Hiroshima
     
    強磁性体のモデルの一つにIsing模型がある．これは温度パラメーターを変化させることによって帯磁率が冪的に発散するなど臨界現象を示すことが知られている．臨界指数と呼ばれるその冪指数には普遍性があることが予想されており，特に高次元ではIsing模型の臨界指数が対応する相互作用の無いモデルのそれに一致する．ところで，Ising模型に横磁場を印加したモデルを量子Ising模型という．古典的なIsing模型ではHamiltonianがz軸方向のPauli行列のみで与えられた一方で，これはz軸方向のみならずx軸方向のPauli行列で与えられるので，それらの非可換性のために量子効果が生じる．量子効果によって，温度のみならず横磁場の強さを変化させることによっても相転移が起こる．本講演では，鏡映正値性を仮定すれば，高次元に於いて量子Ising模型の帯磁率の臨界指数が 1 になることを示す．また，鏡映正値性に頼らずにそれを示すための試みとして，レース展開を導出したい．その現在までの研究結果についても述べる．本研究は坂井哲（北海道大学）との共同研究である．
  • Yoshinori Kamijima
    Niigata Probability Workshop  2025/03  Oral presentation  Tokimate, Niigata University  Yukio Nagahata
  • Yoshinori Kamijima
    Various problems of infinite particle systems and random fields XIX  2025/01  Oral presentation  Nara Women's University  Masato Shinoda;Joshin Murai;Masato Takei;Tomoko Takemura
  • Yoshinori Kamijima
    Osaka Probability Seminar  2024/12  Invited oral presentation  Toyonaka Campus, Osaka University  Masato Hoshino
  • Yoshinori Kamijima
    Probability Seminars on NTU Campus  2024/09  Invited oral presentation  Astronomy-Mathematics Building, NTU  Jhih-Huang Li;Wai Kit Lam
     
    The self-avoiding walk (SAW) is a model defined by adding self-avoidance interaction to the random walk. In other words, each path does not visit the same vertex on a graph more than once. We consider the connectivity function $c_n(x)$ defined by the number of $n$-step SAWs from the origin $o$ to a vertex $x$. It is known that the spread-out SAW with finite-range interactions enjoys the central limit theorem [van der Hofstad and Slade (2002) PTRF][van der Hofstad and Slade (2003) AAM]. Taking an average on a ball, they also proved a certain type of a local limit theorem for $c_n(x)$. For the spread-out SAW with long-range interactions whose one-step distribution has heavy tails, the power-law decay of the two-point function $G_p(x) = \sum_{x \in \mathbb{Z}^d} c_n(x) p^n$ was shown in [Chen and Sakai (2015) AOP][Chen and Sakai (2019) CMP]. In this talk, I will explain an attempt to prove a local limit theorem for the spread-out long-range SAW in the original sense. Our motivations come from combining the results of the previous researches. I will show two different strategies. The lace expansion gives a certain type of the recurrence relation for the sequence $\{c_n(x)\}_{n=1}^{\infty}$. The first one is based on the analogous approach with [Chen and Sakai (2019) CMP] in which we substitute the recurrence relation into $\{c_i(x)\}_{i=1}^{n-1}$. The second one is based on the inductive approach [van der Hofstad and Slade (2002) PTRF] extended to the long-range model in which we assume an upper bound on $c_n(x)$ for $1 \leq m \leq n$ and prove it for $2 \leq m \leq n+1$. I will report the current progress of our attempts using these approaches. This talk is joint work with Lung-Chi Chen (National Chengchi University) and Yuki Chino (National Yang-Ming Chiao-Tung University).
  • Yoshinori Kamijima
    MSJ Autumn Meeting 2024  2024/09  Oral presentation  Osaka University 
    The self-avoiding walk (SAW) is a model defined by adding self-avoidance interaction to the random walk. In other words, each path does not visit the same vertex on a graph more than once. We consider the connectivity function $c_n(x)$ defined by the number of $n$-step SAWs from the origin $o$ to a vertex $x$. It is known that the spread-out SAW with finite-range interactions enjoys the central limit theorem [van der Hofstad and Slade (2002) PTRF];[van der Hofstad and Slade (2003) AAM]. Taking an average on a ball, they also proved a certain type of a local limit theorem for $c_n(x)$. For the spread-out SAW with long-range interactions whose one-step distribution has heavy tails, the power-law decay of the two-point function $G_p(x) = \sum_{x \in \mathbb{Z}^d} c_n(x) p^n$ was shown in [Chen and Sakai (2015) AOP];[Chen and Sakai (2019) CMP]. In this talk, I will explain an attempt to prove a local limit theorem for the spread-out long-range SAW in the original sense. Our motivations come from combining the results of the previous researches. I will show two different strategies. The lace expansion gives a certain type of the recurrence relation for the sequence $\{c_n(x)\}_{n=1}^{\infty}$. The first one is based on the analogous approach with \longcite{cs2019critical} in which we substitute the recurrence relation into $\{c_i(x)\}_{i=1}^{n-1}$. The second one is based on the inductive approach \longcite{vs2002generalised} extended to the long-range model in which we assume an upper bound on $c_n(x)$ for $1 \leq m \leq n$ and prove it for $2 \leq m \leq n+1$. I will report the current progress of our attempts using these approaches. This talk is joint work with Lung-Chi Chen (National Chengchi University) and Yuki Chino (National Yang-Ming Chiao-Tung University).
  • Yoshinori Kamijima
    Tokyo Probability Seminar  2024/07  Oral presentation  Graduate School of Mathematical Sciences of the University of Tokyo  Shuta Nakajima;Makiko Sasada
     
    The lace expansion is one of the powerful tools to investigate critical phenomena. It has succeeded in getting an asymptotic expansion for the critical point for several models, e.g., the self-avoiding walk, ordinary/oriented percolation, the contact process, etc. Our purpose is to obtain such an asymptotic expansion for the quantum Ising model, in which the different type of the phase transition from the classical Ising model is caused by a transverse field, by use of a lace expansion. The lace expansion for the classical Ising model was derived in [Sakai (2007) \textit{Commun. Math. Phys.}], whereas it has not derived for the quantum Ising model yet. In this talk, I show a new derivation of a lace expansion for the classical Ising model, which is the special case of the quantum Ising model without the transverse field. The Hamiltonian in the quantum Ising model are expressed by operators. Thanks to the Lie-Trotter product formula, it is enough to consider the ($d+1$)-dimensional space-time Ising model, which are not given by operator language, instead of the $d$-dimensional Ising model. So far, we have derived a new type of the lace expansion without the transverse field based on the random current representation [Bj\"{o}rnberg and Grimmett (2009) \textit{J. Stat. Phys.}] [Crawford and Ioffe (2010) \textit{Commun. Math. Phys.}] on the space-time. We also expect that this approach helps us to derive a lace expansion in the case that the transverse field is finite. This talk is based on joint work with Akira Sakai (Hokkaido University, Japan).
    Download
  • Yoshinori Kamijima
    Random Fields and Processes on Graphs and Fractals  2024/06  Oral presentation  Research Institute for Mathematical Sciences, Kyoto University  Yoshihiro Abe;David Croydon;Naotaka Kajino
     
    The lace expansion is one of the powerful tools to investigate critical phenomena. It has succeeded in getting an asymptotic expansion for the critical point for several models, e.g., the self-avoiding walk, ordinary/oriented percolation, the contact process, etc. Our purpose is to obtain such an asymptotic expansion for the quantum Ising model, in which the different type of the phase transition from the classical Ising model is caused by a transverse field, by use of a lace expansion. The lace expansion for the classical Ising model was derived in [Sakai (2007) \textit{Commun. Math. Phys.}], whereas it has not derived for the quantum Ising model yet. In this talk, I show a new derivation of a lace expansion for the classical Ising model, which is the special case of the quantum Ising model without the transverse field. The Hamiltonian in the quantum Ising model are expressed by operators. Thanks to the Lie-Trotter product formula, it is enough to consider the ($d+1$)-dimensional space-time Ising model, which are not given by operator language, instead of the $d$-dimensional Ising model. So far, we have derived a new type of the lace expansion without the transverse field based on the random current representation [Bj\"{o}rnberg and Grimmett (2009) \textit{J. Stat. Phys.}] [Crawford and Ioffe (2010) \textit{Commun. Math. Phys.}] on the space-time. We also expect that this approach helps us to derive a lace expansion in the case that the transverse field is finite. This talk is based on joint work with Akira Sakai (Hokkaido University, Japan).
  • Yoshinori Kamijima
    Taiwan Probability Workshop 2024  2024/06  Oral presentation  Institute of Mathematics, Academia Sinica  Guan-Yu Chen;Lung-Chi Chen;Ting-Li Chen;Ching-Wei Ho;Wai-Kit Lam;Jhih-Huang Li
     
    The lace expansion is one of the powerful tools to investigate critical phenomena. It has succeeded in getting an asymptotic expansion for the critical point for several models, e.g., the self-avoiding walk, ordinary/oriented percolation, the contact process, etc. Our purpose is to obtain such an asymptotic expansion for the quantum Ising model, in which the different type of phase transition from the classical Ising model is caused by a transverse field, by use of a lace expansion. The lace expansion for the classical Ising model was derived in [Sakai (2007) \textit{Commun. Math. Phys.}], whereas it has not been derived for the quantum Ising model yet. In this talk, I show a new derivation of a lace expansion for the classical Ising model, which is the special case of the quantum Ising model without the transverse field. The Hamiltonian in the quantum Ising model is expressed by operators. Thanks to the Lie-Trotter product formula, it is enough to consider the ($d+1$)-dimensional space-time Ising model, which is not given by operator language, instead of the $d$-dimensional Ising model. So far, we have derived a new type of lace expansion without the transverse field based on the random current representation [Bj\"{o}rnberg and Grimmett (2009) \textit{J. Stat. Phys.}] [Crawford and Ioffe (2010) \textit{Commun. Math. Phys.}] on the space-time. We also expect that this approach helps us to derive a lace expansion in the case that the transverse field is finite. This talk is based on joint work with Akira Sakai (Hokkaido University, Japan).
  • Yoshinori Kamijima
    Random Interacting Systems, Scaling Limits, and Universality  2023/12  Oral presentation  Institute for Mathematical Sciences National University of Singapore  Akira Sakai;Rongfeng Sun
     
    The quantum Ising model is a kind of model of ferromagnetic materials. In this model, spin configurations are regarded as operators but not scalars. Spins are fluctuated by a quantum effect. In the case of the nearest-neighbor setting, Björnberg proved that the (magnetic) susceptibility diverges at the critical inverse temperature and exhibits the power-law behavior on the integer lattice. In particular, its critical exponent takes the mean-field value 1 in dimensions greater than or equal to 4 at finite temperature and in dimensions greater than or equal to 3 at absolute zero. In this talk, I show a lace-expansion approach to prove that the critical behavior for the susceptibility does not change even when the quantum effect is imposed. Physicists believe this conjecture, but we want to give mathematically rigorous proof. So far, we have obtained the differential inequalities for the susceptibility with respect to inverse temperature and derived the lace expansion for the quantum Ising model. They support that the above critical value equals 1. Our derivation of the lace expansion is inspired by the NoBLE, which Fitzner and van der Hofstad derived. This talk is based on joint work with Akira Sakai.
    Download
  • Yoshinori Kamijima
    2023 NCTS Postdoc Symposium  2023/09  Oral presentation  Taipei City, Cosmology Building, National Taiwan University  Shun-Jen Cheng;Yng-Ing Lee
     
    Totally asymptotic simple exclusion processes (TASEP) are one of the models describing traffic flow. We consider the configuration space $\{0, 1\}^\Lambda$, where $\Lambda=\{1, \dots, L\}$ is the path graph with length $L$. It is interpreted that there are cars at each site whose state is $1$ and that there are no cars at each site whose state is $0$. Each car hops to the forward nearest-neighbor site randomly, but two or more cars do not occupy the same site simultaneously (the exclusion rule). In this talk, I will explain TASEP with Langmuir kinetics depending on the occupancy of the forward neighboring site (TASEP-LKF). While TASEP-LKF with the periodic boundary condition is investigated in \cite{isn2016}, I show results for TASEP-LKF with a closed boundary condition. Specifically, I prove that there exists the stationary density uniquely under the mean-field approximation and that the rightmost stationary density is bigger than the second rightmost stationary density. This is based on joint work with Prof. Yuta Arai (Chiba University of Commerce, Japan).
  • Yoshinori Kamijima
    The 32nd South Taiwan Statistic Conference  2023/06  Oral presentation  National Dong Hwa University, Shoufeng Township, Hualien Country  Wei-Ying Wu
     
    The self-avoiding walk (SAW) is a model added self-avoidance interaction to the random walk. In other words, each path does not visit the same vertex on a graph more than once. It is known that the spread-out short-range SAW enjoys the central limit theorem [van der Hofstad and Slade (2003) AAM]. Taking an average on a ball, they also proved a certain type of a local limit theorem. For the spread-out long-range SAW, the power-law decay of the two-point function was shown in [Chen and Sakai (2019) CMP]. In this talk, I will explain an attempt to prove a local limit theorem for the spread-out long-range SAW in the original sense. Our motivations come from combining the results of the previous researches. This is a joint work with Lung-Chi Chen (National Chengchi University) and Yuki Chino (National Yang Ming Chiao Tung University).
    Download
  • Yoshinori Kamijima
    2023 NCTS Spring Day  2023/03  Oral presentation  Taipei City, Cosmology Building, National Taiwan University  Yng-Ing Lee
     
    The self-avoiding walk (SAW) is a model added self-avoidance interaction to the random walk. In other words, each path does not visit the same vertex on a graph more than once. It is known that the spread-out short-range SAW enjoys the central limit theorem [van der Hofstad and Slade (2003) AAM]. Taking an average on a ball, they also proved a certain type of a local limit theorem. For the spread-out long-range SAW, the power-law decay of the two-point function was shown in [Chen and Sakai (2019) CMP]. In this talk, I will explain an attempt to prove a local limit theorem for the spread-out long-range SAW in the original sense. Our motivations come from combining the results of the previous researches. This is a joint work with Lung-Chi Chen (National Chengchi University) and Yuki Chino (National Yang Ming Chiao Tung University).
  • Yoshinori Kamijima
    無限粒子系、確率場の諸問題XVII  2023/01  Oral presentation  Nara Women's University, Nara city, Nara prefecture  篠田正人;村井浄信;竹居正登;嶽村智子
  • Yoshinori Kamijima
    The 20th Symposium Stochastic Analysis on Large Scale Interacting Systems  2022/12  Oral presentation  Nishijin Plaza, Kyushu University, Fukuoka  Ryoki Fukushima;Yukio Nagahata;Hirofumi Osada;Kenkichi Tsunoda
  • Yoshinori Kamijima
    Taipei Postdoc Seminar  2022/11  Oral presentation  Taipei City, Cosmology Building, National Taiwan University  Shih-Hsin Chen;Sz-Sheng Wang
     
    Percolation is a stochastic model of wetting of porous medium, the spread of blight in an orchard, a forest fire, etc. Specifically, bond percolation is defined by giving the occupied and vacant states $p D(y - x)$ and $1 - p D(y - x)$, respectively, for each edge $\{x, y\}$ on a graph. It is known that phase transitions occur at a critical point $p_\mathrm{c}$ in this model, and it is believed that some quantities exhibit power-law (critical phenomena). For example, it is predicted that the susceptibility (the mean cluster size) $\chi_p$ asymptotically behaves like $(p_\mathrm{c} - p)^{-\gamma}$. The exponent $\gamma$ particularly takes the value $1$ in high dimension, which is called a mean-field value. In this talk, I explain the basic topics of mean-field behavior for percolation models. I also mention the infrared bound and the lace expansion. They are key topics in my research.
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  • Yoshinori Kamijima
    2022 Winter Workshop on Probability and Related Fields  2022/11  Oral presentation  Taipei City, Cosmology Building, National Taiwan University  Jyy-I Hong;Gi-Ren Liu
     
    The quantum Ising model is a kind of model of ferromagnetic materials. In this model, we consider spin configurations regarded as operators but not scalars. Due to this, spins are fluctuated by a quantum effect $q\geq 0$. When $q=0$, the model is particularly called the classical Ising model. In the case of the classical one for the nearest-neighbor setting, it is known that the (magnetic) susceptibility $\chi(\beta, 0)$ diverges at the critical inverse temperature $\beta_\mathrm{c}$ and exhibits the power-law behavior on $\mathbb{Z}^d$. In particular, its critical exponent $\gamma$ takes the mean-field value $1$ in $d\geq 4$. In this talk, I show some attempts to prove that the critical behavior for the susceptibility does not change even when the quantum effect is imposed. Physicists believe this conjecture, but we want to give mathematically rigorous proof. So far, we have obtained the differential inequalities for $\chi(\beta, q)$ with respect to $\beta$. They support that $\gamma=1$ with an assumption. Also, I mention attempts to derive the lace expansion, which implies the assumption for the differential inequalities. This talk is based on joint work with Akira Sakai (Hokkaido University, Japan).
    Download
  • Yoshinori Kamijima
    Tohoku University Probability Seminar  2022/11  Oral presentation  Tohoku University, Aoba-ku, Sendai city, Miyagi prefecture  Yoshihiro Abe
     
    The quantum Ising model is a kind of model of ferromagnetic materials. In this model, we consider spin configurations regarded as operators but not scalars. Due to this, spins are fluctuated by a quantum effect $q\geq 0$. When $q=0$, the model is particularly called the classical Ising model. In the case of the classical one for the nearest-neighbor setting, it is known that the (magnetic) susceptibility $\chi(\beta, 0)$ diverges at the critical inverse temperature $\beta_\mathrm{c}$ and exhibits the power-law behavior on $\mathbb{Z}^d$. In particular, its critical exponent $\gamma$ takes the mean-field value $1$ in $d\geq 4$. In this talk, I show some attempts to prove that the critical behavior for the susceptibility does not change even when the quantum effect is imposed. Physicists believe this conjecture, but we want to give mathematically rigorous proof. So far, we have obtained the differential inequalities for $\chi(\beta, q)$ with respect to $\beta$. They support that $\gamma=1$ with an assumption. Also, I mention attempts to derive the lace expansion, which implies the assumption for the differential inequalities. This talk is based on joint work with Akira Sakai (Hokkaido University, Japan).
  • Yoshinori Kamijima
    The 18th Mathematics Conference for Young Researchers  2022/03  Poster presentation  Hokkaido University, Sapporo city, Hokkaido  祐川翼;石井宙志;工藤勇;関元樹;長谷川蒼;波多野幸平;安孫子啓介;田嶌優;藤江克徳;牧田慎平
     
    有向パーコレーションは伝染病の生存・死滅を記述するモデルである．数学的には，格子グラフ $\mathbb{L}^d$ と非負整数全体 $\mathbb{Z}_+$ の直積 $\mathbb{L}^d\times\mathbb{Z}_+$ の辺集合に対して，開・閉なる状態をランダムに与えることで定義される．開の辺で繋がった頂点数の期待値には冪乗則 $(p_\mathrm{c} - p)^{-\gamma}$ が予想されており，特に $d>4$ ならば $\gamma=1$ だと信じられている．講演者らはこれを単純立方格子では $d+1=184$ で，体心立方格子では $d+1=10$ で証明したので，それを紹介する．
    Download
  • Yoshinori Kamijima
    Various Problems on Infinite Particle Systems and Random Fields XVI  2021/10  Oral presentation  Online (Zoom)  篠田正人;村井浄信;竹居正登;嶽村智子
    Download
  • Yoshinori Kamijima
    Probability Young Seminar Online  2020/09  Oral presentation  Online (Zoom)  Makoto Nakashima
  • Yoshinori Kamijima
    Kansai Probability Seminar  2019/12  Oral presentation  Kyoto University, Kyoto city, Kyoto prefecture  Seiichiro Kusuoka
     
    The lace expansion is a powerful tool to analyze the critical behavior in high dimension. It is applied to various stochastic models, such as self-avoiding walk, percolation, Ising model etc. It is conjectured that the nearest-neighbor ordinary and oriented percolations exhibit the mean-field behavior in dimension $d$ above the upper critical dimension $d_\mathrm{c}=6, 4$, respectively, so that we want to prove them by the lace expansions. To achieve this, we consider the $d$-dimensional body-centered cubic (BCC) lattice. In this talk, I will show current statuses of the above problems. The research on the ordinary percolation is based on a joint works with Satoshi Handa (Fujitsu Laboratories Ltd.) and Akira Sakai (Hokkaido University, Japan). That on the oriented percolation is based on a joint work with Satoshi Handa (id.) and Lung-Chi Chen (National Chengchi University, Taiwan).
  • Yoshinori Kamijima
    Stochastic Analysis on Large Scale Interacting Systems  2019/11  Oral presentation  Osaka University, Toyonaka city, Osaka prefecture  Ryoki Fukushima;Tadahisa Funaki;Yukio Nagahata;Hirofumi Osada;Kenkichi Tsunoda
     
    We will consider a critical behavior of the susceptibility $\chi(\beta)$ with respect to the inverse temperature $\beta$ for the quantum Ising ferromagnet. As a first step, we followed the established way for the classical Ising model [M.~Aizenman, \emph{Commun. Math. Phys.} \textbf{86}, 1982] and derived an inequalities for $\chi(\beta)$ via the Suzuki-Trotter transformation (see, e.g., [K., RIMS K\^{o}ky\^{u}roku \textbf{2116}, 2019] or [S. Handa, Ph.D. thesis, 2019]). At that time, however, we had used the monotonicity for $\chi(\beta)$ with respect to $\beta$ with an extra condition. Our next aim is to drop such condition and show the infrared bound for the quantum Ising model. In this talk, I will show some attempts to prove the critical behavior via another way: the graphical representation in terms of the space-time Ising model which originates from [J.E.~Bj\"{o}rnberg and G.R.~Grimmett, \textit{J. Stat. Phys.}~\textbf{136}, 2009]. This is based on a joint work with Satoshi Handa (Fujitsu Laboratories Ltd.) and Akira Sakai (Hokkaido University).
  • Finding optimal solutions by stochastic cellular automata  [Not invited]
    Yoshinori Kamijima
    MSJ Autumn Meeting 2019  2019/09  Oral presentation  Kanazawa University, Kanazawa city, Ishikawa prefecture  The Mathematics Society of Japan
  • Yoshinori Kamijima
    Probability Young Summer Seminar  2019/08  Oral presentation  宮城県刈田郡蔵王町 遠刈田温泉さんさ亭  Nobuaki Naganuma
  • Yoshinori Kamijima
    The 12th MSJ-SI ``Stochastic Analysis, Random Fields and Integrable Probability''  2019/08  Poster presentation  Ito Campus, Kyushu University, Fukuoka  Syota Esaki;Yuu Hariya;Masato Hoshino;Yuzuru Inahama;Masato Shinoda;Tomoyuki Shirai
  • About critical phenomena for the quantum Ising model in high dimensions  [Not invited]
    Yoshinori Kamijima
    Niigata Probability Workshop  2019/03  Oral presentation  Tokimate, Niigata University, Niigata city  Yukio Nagahata
  • Yoshinori Kamijima
    The 15th Mathematics Conference for Young Researcher  2019/03  Oral presentation  Hokkaido University, Sapporo city, Hokkaido  Ikki Fukuda;Masamitsu Aoki;Yuki Ueda;Yoshinori Kamijima;Toshifumi Yabu;Takayuki Niimura;Naoto Satoh;Hisayoshi Toyokawa;Koki Matsuzaka;So Yamagata;Keisuke Yoshida
     
    本研究は坂井准教授（北大）と半田氏（北大）との共同研究である．量子Ising模型は古典Ising模型のスピンを作用素で置換し横磁場を印加したモデルである．これは温度を固定し相互作用係数と横磁場を変化させたとき，高次元で平均場臨界現象を示すことが知られている．一方で，講演者らは相互作用係数と横磁場を固定し温度を変化させたときの振舞に興味がある．本講演ではこの問題について現在までに得られた結果を紹介する．
  • Yoshinori Kamijima
    Probability Symposium  2018/12  Oral presentation  Kyoto University, Kyoto city, Kyoto prefecture  Shigeki Aida;Naoki Kubota;Takashi Kumagai;Makiko Sasada;Daisuke Shiraishi
  • Yoshinori Kamijima
    The 14th Mathematics Conference for Young Researchers  2018  Poster presentation  Hokkaido University, Sapporo city, Hokkaido  Satoshi Handa;Daichi Komori;Ko Fujisawa;Albert Rodríguez Mulet;Masamitsu Aoki;Yoshinori Kamijima;Ikki Fukuda;Toshifumi Yabu
  • The lace expansion for the nearest-neighbor models on the BCC lattice  [Not invited]
    Yoshinori Kamijima
    Recent Progress in Probability Theory and Its Applications  2017/07  Oral presentation  Hokkaido University, Sapporo city, Hokkaido  Akira Sakai
  • Yoshinori Kamijima
    Short talk in PIMS-CRM Summer School in Probability  2017/06  Oral presentation  University of British Columbia, Vancouver, British Columbia  Omer Angel;Mathav Murugan;Edwin Perkins;Gordon Slade
  • Yoshinori Kamijima
    The 13th Mathematics Conference for Young Researchers  2017/02  Poster presentation  Hokkaido University, Sapporo city, Hokkaido  Fumihiko Nakamura;Yusuke Aikawa;Keisuke Asahara;Sadataka Abe;Daichi Komori;Hayato Saito;Satoshi Handa;Ko Fujisawa;Shun'ichi Honda;Albert Rodríguez Mulet
  • The lace expansion for the nearest-neighbor self-avoiding walk on the BCC lattice  [Not invited]
    Yoshinori Kamijima
    Probability Symposium  2016/12  Oral presentation  Kyoto University, Kyoto city, Kyoto prefecture  Makoto Nakashima;Ryoki Fukushima;Katsusi Fukuyama;Koji Yano;Yuko Yano
  • Yoshinori Kamijima
    Pisa-Hokkaido Summer School on Mathematics and its Applications  2016/09  Poster presentation  Scuola Normale Superiore di Pisa, Pisa  Hideo Kubo;Luigi Marengo;Mario Salvetti;Hiroaki Terao

MISC

Awards & Honors

  • 2018/06 Hokkaido University Encouragement award of graduate school of science

Research Grants & Projects

Teaching Experience

  • Computer Science Exercise III
    Information Networking for Innovation And Design, Toyo University
  • Probability and Statistics for INIAD I
    Information Networking for Innovation And Design, Toyo University
  • Informatics I
    Hokkaido University
  • Calculus I
    Hokkaido University

Committee Membership

  • 2018/04 -2019/03   The 15th Mathematics Conference for Young Researchers   Organizers
  • 2017/04 -2018/03   The 14th Mathematics Conference for Young Researchers   Organizers

Other link

researchmap