Preprints

  • Weighted Point Configurations with Hyperuniformity: An Ecological Example and Models (with Ayana Ezoe and Makoto Katori). Available at https://arxiv.org/abs/2501.12807/

  • Spectral representation of correlation functions for zeros of Gaussian power series with stationary coefficients. Available at https://arxiv.org/abs/2501.03704/

  • The density of zeros of random power series with stationary complex Gaussian coefficients. Available at https://arxiv.org/abs/2501.02586/

  • Verification of Elemental Technologies for Anomaly Detection in Crypto Asset Transactions, (with Yuichi Ikeda, Hideaki Aoyama, Tetsuo Hatsuda, Yoshimasa Hidaka, Wataru Souma, Hiroshi Iyetomi, Abhijit Chakraborty, Akihiro Fujihara, Yasushi Nakayama, Yuta Arai, Krongtum Sankaewtong), RIETI Discussion Paper Series. RIETI Discussion Paper Series 24-E-085

  • Generalized Eigenspaces and Pseudospectra of Nonnormal and Defective Matrix-Valued Dynamical Systems (with Saori Morimoto and Makoto Katori), Available at https://arxiv.org/abs/2411.06472/

  • Eigenvalue and pseudospectrum processes generated by nonnormal Toeplitz matrices with rank 1 perturbations (with Saori Morimoto and Makoto Katori), Available at https://arxiv.org/abs/2401.08129/

  • Fiber decomposition of non-commutative harmonic oscillators by $2p$-quantum Rabi models (with Fumio Hiroshima), to appear in Journal of Mathematical Physics. Available at https://arxiv.org/abs/2408.04239/

  • Renormalized spectral zeta function and ground state of Rabi model (with Fumio Hiroshima), Available at https://arxiv.org/abs/2405.09158/

  • The Recurrence/Transience of Random Walks on a Bounded Grid in an Increasing Dimension. (with Shuma Kumamoto and Shuji Kijima), AofA2024 .

  • An analysis of the recurrence/transience of random walks on growing trees and hypercubes. (with Shuma Kumamoto and Shuji Kijima), Proceedings of the 3rd Symposium on Algorithmic Foundations of Dynamic Networks (SAND 2024), Leibniz International Proceedings in Informatics, 292 (2024), 17:1-17:17. SAND 2024 .

  • Stochastic modeling of UTXOs in Bitcoin graphs. (with Shinya Hirata), JPS Conference Proceedings of Blockchain Kaigi 2023 (BCK2023), JPS Conf. Proc. 011008 (2024).
    Available at open access

  • Accumulated spectrograms for hyperuniform determinantal point processes. (with Makoto Katori and Pierre Lazag)
    Available at https://arxiv.org/abs/2403.16325

  • Eigenvalue and pseudospectrum processes generated by nonnormal Toeplitz matrices with perturbation (with Saori Morimoto and Makoto Katori), Available at https://arxiv.org/abs/2401.08129

  • Characterization of Rock Pore Geometry and Mineralization Process via a Random Walk-Based Clogging Scheme (with Linh Thi Hoai Nguyen and Takeshi Tsuji), Algorithms. 2025; 18(2):68. paper

  • Interlacing of zeros of orthogonal Gaussian Functions in consecutive Landau levels, and white noise spectrograms (with Luis Daniel Abreu), preprint.

  • Enumeration of connected bipartite graphs with given Betti number (with Taro Hasui and Satoshi Yabuoku), Available at https://arxiv.org/abs/2208.03996

  • Eigenvalue problem for some special class of anti-triangular matrices, (with Hiroyuki Ochiai, Makiko Sasada and Takashi Tsuboi), available at http://arxiv.org/abs/1403.6797

    Random topology and related topics

  • Torsion-weighted spanning acycle entropy in cubical lattices and Mahler measures. (with Yasukai Hiraoka), Journal of Applied and Computational Topology (https://doi.org/10.1007/s41468-024-00163-y)
    Available at Read only version

  • Persistent homology and its application to chainlets in the Bitcoin graph, JPS Conference Proceedings of Blockchain Kaigi 2022 (BCK2022), JPS Conf. Proc. 40, 011001 (2023). Available at open access

  • Zeta functions of periodic cubical lattices and Cyclomatic-like polynomials (with Yasuaki Hiraoka and Hiroyuki Ochiai), Advanced Studies in Pure Mathematics 84 (2020), 93--121. (pdf)

  • Limit theorems for persistence diagrams (with Trinh Khanh Duy and Yasuaki Hiraoka), Annals of Applied Probability 28 (2018), 2740--2780. (pdf)

  • Limit theorem for persistence diagrams of random filtered complexex built over marked point processes, (with Kiyotaka Suzaki), Modern Stoch. Theory Appl. 10 (2023), 1-18. DOI 10.15559/22-VMSTA214. open access

  • Pore Geometry Characterization by Persistent Homology Theory (with Fei Jiang and Takeshi Tsuji), Water Resources Research (AGU) doi:10.1029/2017WR021864. (pdf)

  • Minimum spanning acycle and lifetime of persistent homology in the Linial-Meashulam process (with Yasuaki Hiraoka), Random Structures and Algorithms 51 (2017), 315--340. (pdf) , Also available http://arxiv.org/abs/1503.05669

  • Mathematical Modeling of Rock Pore Geometry and Mineralization: Applications of Persistent Homology and Random Walk (with Takeshi Tsuji, Fei Jiang, Anna Suzuki), Agriculture as a Metaphor for Creativity in All Human Endeavors - Proceedings of Forum "Math-for-Industry 2016", Mathematics for Industry Volume 1, 2014, pp 211-226 Springer link

  • Tutte polynomials and random-cluster models in Bernoulli cell complexes (with Yasuaki Hiraoka), RIMS Kôkyûroku Bessatsu B59 (2016), 289--304. http://arxiv.org/abs/1602.04561

    Cellular networks

  • Tail asymptotics of signal-to-interference ratio distribution in spatial cellular network models (with Naoto Miyoshi), Probability and Mathematical Statistics Vol. 37, Fasc. 2 (2017), pp. 431–453, (pdf) http://arxiv.org/abs/1703.05024

  • Spatial modeling and analysis of cellular networks using the Ginibre point process: A tutorial (with Naoto Miyoshi),” IEICE Transactions on Communications volume E99-B, issue 11, pp. 2247-2255 (an invited paper in Special Section on Deepening and Expanding of Information Network Science), November 2016. paper

  • A sufficient condition for tail asymptotics of SIR distribution in downlink cellular networks (with Naoto Miyoshi), 12th International Workshop on Spatial Stochastic Models for Wireless Networks (SpaSWiN 2016), Proceedings of 14th International Symposium on Modeling and Optimization in Mobile, Ad Hoc and Wireless Networks (WiOpt 2016), pp. 454-460, Tempe, Arizona, USA, May 13, 2016. http://arxiv.org/abs/1602.00844

  • Downlink Coverage Probability in a Cellular Network with Ginibre Deployed Base Stations and Nakagami-$m$ Fading Channels (with Naoto Miyoshi), an invited paper at 13th International Symposium on Modeling and Optimization in Mobile, Ad Hoc and Wireless Networks (WiOpt 2015), Mumbai, India, May 25--29, 2015. http://arxiv.org/abs/1503.05377

  • [ WiOpt ] Padé approximation for coverage probability in cellular networks, (with Hitoshi Nagamatsu and Naoto Miyoshi) , Proc. 12th Int'l Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks (WiOpt), pp. 699--706, Hammamet, Tunisia, May 2014.

  • [ AAAI14] Mixing-time Regularized Policy Gradient, (with Tetsuro Morimura, Takayuki Osogami), AAAI-14, Québec City, Québec, Canada, August 2014. (pdf)

  • Finite Markov chains and Markov Decision Processes, A Mathematical Approach to Research Problems of Science and Technology Mathematics for Industry Volume 5, 2014, pp 189-206, Springer link

  • Cellular networks with $\alpha$-Ginibre configurated base stations (with Naoto Miyoshi), The Impact of Applications on Mathematics - Proceedings of Forum "Math-for-Industry 2013", Mathematics for Industry Volume 1, 2014, pp 211-226 Springer link

  • A cellular network model with Ginibre configurated base stations (with Naoto Miyoshi), Advances in Applied Probability 46 (2014), 832--845. pdf
    (preprint pdf)

    Determinantal Processes and related topics

  • Partial isometries, duality, and determinantal point processes (with Makoto Katori), Random Matrices: Theory and ApplicationsVol. 11, No. 03, 2250025 (2022). homepage

  • Local number variances and hyperuniformity of the Heisenberg family of determinantal point processes (with Takato Matsui and Makoto Katori), J. Phys. A: Math. Theor. 54 (2021) 165201 (22pp). Also available at https://arxiv.org/abs/2012.10585

  • Scaling limit for determinantal point processes on spheres (with Makoto Katori), RIMS Kôkyûroku Bessatsu B79 (2020), 123--138. (pdf)

  • [ AAAI18] Takayuki Osogami, Rudy Raymond, Akshay Goel, Tomoyuki Shirai, and Takanori Maehara, "Dynamic determinantal point processes," Proceedings of the Thirty-Second AAAI Conference on Artificial Intelligence (AAAI-18), pages 3868--3875, New Orleans, Lousiana, USA, February 2018.

  • Quasi-symmetries and rigidity for determinantal point processes associated with de Branges spaces (with Alexander I. Bufetov), Proceedings of the Japan Academy, Ser. A Math. Sci. 93 (2017), no.1, 1--5. project euclid

  • Solvable and algebraic systems on infinite ladder (with Evgeny Verbitskiy), Indagationes Mathematicae 27 (2016), no. 5, 1162–1183. (pdf)

  • Absolute continuity and singularity of Palm measures of the Ginibre point process (with Hirofumi Osada), Probability Theory Related Fields 165 (2016), no.3, 725--770. Springer Link (open access)
    Also available at https://rdcu.be/6b4n and http://arxiv.org/abs/1406.3913

  • The mean spectral measures of random Jacobi matrices related Gaussian beta ensembles (with Trinh Khanh Duy), (pdf)
    Electronic Communications in Probability 20 (2015), no. 68, 1--13.

  • Ginibre-type point processes and their asymptotic behavior, Journal of the Mathematical Society of Japan 67 (2015), no.2, 763--787. (pdf)

  • Correlation functions for zeros of a Gaussian power series and Pfaffians (with Sho Matsumoto), Electronic Journal of Probability 18 (2013), no. 49 1--18. (pdf)

  • Remarks on $\alpha$-determinants via SDP relaxation (with Takayuki Osogami and Hayato Waki), Journal of Math-for-Industry 5 (2013A-1), 1--10. (pdf)

  • Limit theorems for random analytic functions and their zeros, RIMS Kôkyûroku Bessatsu 34 (2012), 335--359. Functions in Number Theory and Their Probabilistic Aspects --- Kyoto 2010. (pdf)

  • Variance of randomized values of Riemann's zeta function on the critical line, RIMS Kôkyûroku 1590 (2008), 86--96. (pdf)

  • Variance of the linear statistics of the Ginibre random point field, (with H.Osada), RIMS Kôkyûroku Bessatsu B6 (2008), 193--200. (pdf)

  • Remarks on the positivity of $\alpha$-determinants, Kyushu J. Math. 61 (2007), 169-189. (pdf)

  • Large deviations for the fermion point process associated with the exponential kernel, J. Stat. Phys. 123 (2006), 615-629. (pdf)

  • Random point fields associated with fermion, boson and other statistics (with Y.Takahashi), Adv. Stud. Pure Math. 39 (2004), 345--354. (pdf)

  • Random point fields associated with certain Fredholm determinants (I): fermion, Poisson and boson point processes (with Y.Takahashi), J. Funct. Anal. 205 (2003), 414--463. (pdf) (pdf preprint version RIMS-1368)

  • Random point fields associated with certain Fredholm determinants (II): fermion shifts and their ergodic properties (with Y.Takahashi), Annals of Prob. 31 (2003), 1533--1564. (pdf)

  • Fermion process and Fredholm determinant (with Y.Takahashi), Proceedings of the Second ISAAC Congress Vol.1, (Eds.) H.G.W. Begehr, R.P. Gilbert and J. Kajiwara, pp.15--23, (2000), Kluwer Academic Publ. (International Society for Analysis, Applications and Computation Volume 7). (pdf) Springer link

  • A factorization of determinant related to some random matrices, J. Stat. Phys. Nos. 5/6 (1998), 1449-1459. (pdf)

  • Glauber dynamics for fermion point processes (with H.J.Yoo), Nagoya Math. J. 168 (2002), 139-166. (pdf)

    Random walks and spectral analysis on graphs

  • Note on the spectrum of discrete Schrödinger operators (with Fumio Hiroshima, Itaru Sasaki and Akito Suzuki), Journal of Math-for-Industry 4 (2012B-4), 105--108. (pdf)

  • Exact computation for the cover times of certain classes of trees, Journal of Math-for-Industry 2 (2010A-9), 93--98. (pdf)

  • A remark on monotonicity for the Glauber dynamics on finite graphs, Proc. Japan Acad. 86 (2010) 33--37. (pdf)

  • Joint distribution of the cover time and the last visited point of finite Markov chains, (with T. Ohwa), Kyushu J. Math. 62 (2008), 281-292. (pdf)

  • Non-bipartiteness of graphs and the upper bounds of Dirichlet forms, (with Yu.Higuchi), Potential Anal. 25 (2006), 259--268. (pdf)

  • Some spectral and geometric properties for infinite graphs (with Yu.Higuchi), Contemp. Math. 347 (2004), 29--56. (pdf)

  • Isoperimetric constants of $(d,f)$-regular planar graphs (with Yu.Higuchi), Interdisp. Inform. Sci. 9 (2003), 221--228. (pdf)

  • Long time behavior of the transition probability of a random walk with drift on an abelian covering graph, Tohoku Math. J. 55 (2003), 255--269. (pdf)

  • Weak Bloch property for discrete magnetic Schrödinger operators (with Yu.Higuchi), Nagoya Math. J. 161 (2001), 127-154. (pdf)

  • Asymptotic behavior of the transition probability of a simple random walk on a line graph, J. Math. Soc. Japan. 52 (2000), 99-108. (pdf)

  • The specrtum of infinite regular line graphs, Trans. of Amer. Math. Soc. 352 (2000), 115-132. (pdf)

  • The Spectrum of magnetic Schrödinger operators on a graph with periodic structure (with Yu.Higuchi), J. Funct. Anal. 169 (1999), 456-480. (pdf)

  • A remark on the spectrum of magnetic Laplacian on a graph (with Yu.Higuchi), the proceedings of TGT10, Yokohama Math. J. 47 (1999), Special issue, 129-142. (pdf)

  • Asymptotic behavior of the transition probability of a random walk on an infinite graph (with M.Kotani and T.Sunada), J. Funct. Anal. 159 (1998), 664-689. (pdf)

  • A Trace Formula for Discrete Schrödinger Operators, RIMS Publ. 34 (1998), 27-41. (pdf)

    Miscellaneous

  • On the zeros of Macdonald functions (with Yuji Hamana and Hiroyuki Matsumoto), Opuscula Math. 39, no. 3 (2019), 361--382. pdf available at http://arxiv.org/abs/1302.5154

  • A Mixed Optimal Control Approach for Upstream Fish Migration (with H.Yoshioka and D.Tagami), Journal of Sustainable Development of Energy, Water and Environment Systems, (pdf)