2次元クーロンポテンシャルによって相互作用する無限粒子系の確率幾何と確率力学【基礎研究(A)課題番号24244010】（長田博文／九州大学大学院数理学研究院）

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2012年から現在までの論文リストを掲載します。ホームページもご覧ください。

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2015年度以降

  • H. Osada
    Self-diffusion constants of non-colliding interacting Brownian motions in one spatial dimension
    http://arxiv.org/abs/1605.04413  (to appear in RIMS Kokyuroku Bessatsu)
  • H. Osada, H. Tanemura
    Stochastic differential equations related to random matrix theory
    http://arxiv.org/abs/1605.04417  (to appear in RIMS Kokyuroku Bessatsu)
  • H. Osada, S. Osada
    Discrete approximations of determinantal point processes on continuous spaces: tree representations and tail triviality
    http://arxiv.org/abs/1603.07478  (preprint)
  • H. Osada, H. Tanemura
    Infinite-dimensional stochastic differential equations and tail $ \sigma$-fields
    http://arxiv.org/abs/1412.8674v3  (preprint)
  • H. Osada, H. Tanemura
    Infinite-dimensional stochastic differential equations arising from Airy random point field
    http://arxiv.org/abs/1408.0632v3  (preprint)
  • H. Osada, H. Tanemura
    Strong Markov property of determinantal processes with extended kernels,
    Stochastic Processes and their Applications　126 (2016) 186-208
    http://dx.doi.org/10.1016/j.spa.2015.08.003
    http://arxiv.org/abs/1412.8678
  • H. Osada, T. Shirai,
    Absolute continuity and singularity of Palm measures of the Ginibre point process
    Probability Theory and Related Fields (Published on line 09 July 2015)
    DOI 10.1007/s00440-015-0644-6
    http://arxiv.org/abs/1406.3913
  • R. Honda, H. Osada,
    Infinite-dimensional stochastic differential equations related to Bessel random point fields,
    Stochastic Processes and their Applications 125 (2015) 3801–3822　
    (doi:10.1016/j.spa.2015.05.005)
  • 長田博文、種村秀紀
    ランダム行列に関連したディリクレ形式の芯集合と関連する話題
    数理解析研究所講究録 (to appear)
  • Funaki, T.
    Infinitesimal invariance for the coupled KPZ equations.
    Special issue for Marc Yor of the Seminaire de Probabilites
    S\'eminaire de Probabilit\'es XLVII, Lect. Notes Math. vol. 2137, Springer (2015)
  • Bolthausen E., Chiyonobu T., Funaki T.
    Scaling limits for weakly pinned Gaussian random fields under the presence of two possible candidates.
    Special issue for Kiyosi Ito of J. Math. Soc. Japan
    http://arxiv.org/abs/1406.7766
  • Funaki T., Quastel J.,
    KPZ equation, its renormalization and invariant measures.
    Stochastic Partial Differential Equations: Analysis and Computations, 3 (2015), 159--220
  • Funaki T., Ohnawa M., Suzuki Y,, Yokoyama S.,
    Existence and uniqueness of solutions to stochastic Rayleigh-Plesset equations.
    J. Math. Anal. Appl., 425 (2015), 20--32
  • T. Kumagai and C. Nakamura,
    Lamplighter random walks on fractals.　
    http://www.kurims.kyoto-u.ac.jp/~kumagai/LILlamp-submit.pdf
  • P. Kim, T. Kumagai and J. Wang,
    Laws of the iterated logarithm for symmetric jump processes.
    http://www.kurims.kyoto-u.ac.jp/~kumagai/LIL_finial.pdf
  • O. Boukhadra, T. Kumagai and P. Mathieu,
    Harnack inequalities and local central limit theorem for the polynomial lower tail random conductance model.
    http://www.kurims.kyoto-u.ac.jp/~kumagai/OPT-LCLT-fin.pdf
  • M.T. Barlow, D.A. Croydon and T. Kumagai,
    Subsequential scaling limits of simple random walk on the two-dimensional uniform spanning tree.
    Ann. Probab., to appear.
    http://www.kurims.kyoto-u.ac.jp/~kumagai/AOP1030-fin.pdf
  • T. Kumagai,
    Anomalous random walks and diffusions: From fractals to random media.
    Proceedings of 2014 ICM, Seoul
    http://www.kurims.kyoto-u.ac.jp/~kumagai/ICM-Proc-TK-new.pdf
  • Z.-Q. Chen, D.A. Croydon and T. Kumagai,
    Quenched invariance principles for random walks and elliptic diffusions in random media with boundary.
    Ann. Probab., to appear. (Revised Version) PDF File
  • K. Bogdan, T. Kumagai and M. Kwaśnicki,
    Boundary Harnack inequality for Markov processes with jumps.
    Trans. Amer. Math. Soc 367 (2015), no. 1 , 477--517.
    (Revised Version) PDF File
  • T. Shirai, Trinh Khanh Duy
    The mean spectral measures of random Jacobi matrices related Gaussian beta ensembles,
    http://arxiv.org/abs/1504.06904
  • Y. Hiraoka, T. Shirai,
    Minimum spanning acycle and lifetime of persistent homology in the Linial-Meashulam process,
    http://arxiv.org/abs/1503.05669
  • T. Shirai, Naoto Miyoshi
    Downlink Coverage Probability in a Cellular Network with Ginibre Deployed Base Stations and Nakagami-m Fading Channels,
    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
  • Hiroyuki Ochiai, Makiko Sasada, T. Shirai, and Takashi Tsuboi
    Eigenvalue problem for some special class of anti-triangular matrices,
    http://arxiv.org/abs/1403.6797
  • T. Shirai, Y. Hamana and H. Matsumoto
    On the zeros of Macdonald functions
    http://arxiv.org/abs/1302.5154
  • T. Shirai, Ginibre-type point processes and their asymptotic behavior,
    Journal of the Mathematical Society of Japan 67 (2015), no.2, 763—787
  • S.Kotani;
    On limit set of KdV flow: An extension of Remling theorem,
    (preprint) arXiv:1304.6785
  • S.Kotani;
    Transformation of Herglotz functions and KdV equation,
    RIMS講究録、to appear
  • S.Kotani, Y.Kasahara;
    Tauberian Theorem for harmonic mean of Stieltjes transformations and its application to linear diffusions,
    Osaka Journal of Mathematics, to appear
  • S.Kotani, Y.Kasahara;
    Diffusions with Bessel-like drifts, 
    Kyoto Journal of Mathematics, to appear.
  • Makoto Katori,
    Dissipative Abelian sandpile models  
    (math-ph/1505.00334)　
  • Kan Takahashi, Makoto Katori, Makoto Naruse, Motoichi Ohtsu,
    Stochastic model showing a transition to self-controlled particle-deposition state induced by optical near-fields  
    (cond-mat.mes-hall/1410.3190)
    accepted for publication in Appl. Phys. B:Lasers and Optics
  • Makoto Katori,
    Elliptic determinantal process of type A  
    (math.PR/1311.4146)
    accepted for publication in Probab. Theory Relat. Fields.
  • Makoto Katori,
    Determinantal martingales and correlations of noncolliding random walks  
    J. Stat. Phys. 159 (2015) 21-42  
    (math.PR/1307.1856)
  • Dan Crisan, Yoshiki Otobe and Szymon Peszat
    Inverse problems for stochastic transport equations
    Inverse Problems, Volume 31 015005, 2015
    doi:10.1088/0266-5611/31/1/015005
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2014年

  • H. Osada
    Dynamical rigidity of stochastic Coulomb systems in infinite-dimensions,
    数理解析研究所講究録, 1903, 152--156 (2014)
  • H. Osada, H Tanemura
    Cores of Dirichlet forms related to Random Matrix Theory
    Proc. Japan Acad. 90, Ser. A, 145--150 (2014)
    DOI: 10.3792/pjaa.90.145 http://projecteuclid.org/euclid.pja/1417707835　
  • Funaki T.,
    Equivalence of ensembles under inhomogeneous conditioning and its applications to random Young diagrams.
    J. Stat. Phys., 154 (2014), 588--609, special issue for Herbert Spohn
  • T. Kumagai,
    Random Walks on Disordered Media and their Scaling Limits.
    Lecture Notes in Mathematics, Vol. 2101,
    École d'Été de Probabilités de Saint-Flour XL--2010.
    Springer, New York, (2014). NEW! Corrections
  • T. Shirai, N. Miyoshi
    Cellular networks with α-Ginibre configurated base stations,
    The Impact of Applications on Mathematics - Proceedings of Forum
     "Math-for-Industry 2013", Mathematics for Industry Volume 1, 2014, pp 211-226
    Springer link
  • AT. Shirai, N. Miyoshi
    Cellular network model with Ginibre configurated base stations,
    Advances in Applied Probability 46 (2014), 832--845.
  • S. Kotani, F. Nakano;
    Level statistics of one-dimensional Schroedinger operators with random decaying potential,
    Festschrift  Masatoshi Fukushima In Honor of Masatoshi Fukushima's Sanju,  
    Interdisciplinary Mathematical Sciences-Vol.17, 343-373, World Scientific 2014
  • Yuta Takahashi, Makoto Katori,
    Oscillatory matrix model in Chern-Simons theory and Jacobi-theta determinantal point process
    (math-ph/1312.5848
    J. Math. Phys. 55 (2014) 093302/1-24
  • Makoto Katori,
    Determinantal martingales and noncolliding diffusion processes  
    (math.PR/1305.4412)
    Stoch. Proc. Appl. 124 (2014) 3724-3768 Sergio Andraus,
  • Sergio Andraus, Makoto Katori, Seiji Miyashita,
    Two limiting regimes of interacting Bessel processes
    (math-ph/1309.2733)
    J. Phys. A : Math. Theor. 47 (2014) 235201/1-30
  • M.Shinoda, E.Teufl and S.Wagner,
    Uniform spanning trees on Sierpinski graphs,
    Latin American Journal of Probability and Mathematical Statistics Vol.11 (2014), 737-780.
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2013年

  • H. Osada
    Interacting Brownian motions in infinite dimensions with logarithmic interaction potentials II: Airy random point fields,
    Stochastic Processes and their Applications 123, 813-838 (2013).
    DOI: 10.1016/j.spa.2012.11.002
  • H. Osada
    Interacting Brownian motions in infinite dimensions with logarithmic interaction potentials, 
    Annals of Probability 41, 1-49 (2013).
    DOI: 10.1214/11-AOP736
  • H. Osada, H. Tanemura,
    Strong Solutions of Infinite-dimensional SDEs and Random Matrices,
    数理解析研究所講究録, 1855, 222-228 (2013)
  • Funaki T., Sasada M,, Sauer M., and Xie B.,
    Fluctuations in an evolutional model of two-dimensional Young diagrams.
    Stoch. Proc. Appl., 123 (2013), 1229—1275
  • T. Kumagai and Zeitouni,
    Fluctuations of recentered maxima of discrete Gaussian Free Fields on a class of recurrent graphs.
    Electron. Commun. Probab., 18 (2013), no. 75, 1--12.
  • D.A. Croydon, A. Fribergh and T. Kumagai,
     Biased random walk on critical Galton-Watson trees conditioned to survive.
     Probab. Theory Relat. Fields, 157 (2013), 453--507. 
  • J.-D. Deuschel and T. Kumagai,
     Markov chain approximations to non-symmetric diffusions with bounded coefficients.
     Comm. Pure Appl. Math. 66 (2013), no. 6, 821--866.
  • Z.-Q. Chen, P. Kim and T. Kumagai,
    Discrete Approximation of Symmetric Jump Processes on Metric Measure Spaces.
    Probab. Theory Relat. Fields 155 (2013), 703--749.
  • S. Matsumoto, T. Shirai,
    Correlation functions for zeros of a Gaussian power series and Pfaffians
    Electronic Journal of Probability 18 (2013), no. 49 1--18.
  • T. Osogam,i T. Shirai, and H. Waki
    Remarks on α  -determinants via SDP relaxation,
    Journal of Math-for-Industry 5 (2013A-1), 1--10.
  • S.Kotani;
    Krein's strings whose spectral functions are of polynomial growth,
    Kyoto Journal of Mathematics, Vol. 53, No. 4(2013), 787-814
  • Makoto Katori
    Determinantal martingales and interacting particle systems
    (math.PR/1307.2332)
  • Kazuyuki Gemma, Makoto Katori,
    Height correlation of rippled graphene and Lundeberg-Folk formula for magnetoresistance
    (cond-mat.mes-hall/1211.2046)
    Journal of the Institute of Science and Engineering, Chuo University, 19 (2013), 1-21
  • Makoto Katori, Hideki Tanemura,
    Complex Brownian Motion Representation of the Dyson Model
    (math.PR1008.2821)
    Electron. Commun. Probab. 18 (2013), no.4, 1-16.
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2012年

  • H. Osada,
    Infinite-dimensional stochastic differential equations related to random matrices
    Probability Theory and Related Fields {\bf 153}, 471-509 (2012).
    DOI: 10.1007/s00440-011-0352-9
  • Funaki T., Izuhara H., Mimura M. and Urabe C.
    A link between microscopic and macroscopic models of self-organized aggregation.
    Networks and Heterogeneous Media, 7 (2012), 705--740
  • Funaki T.,
    Hydrodynamic limit for the $\nabla\varphi$ interface model via two-scale approach,
    In: Probability in Complex Physical Systems:
    In Honour of Erwin Bolthausen and Jurgen Gartner, Springer, 2012, 463--490
  • M.T. Barlow, A. Grigor'yan and T. Kumagai,
    On the equivalence of parabolic Harnack inequalities and heat kernel estimates.
    J. Math. Soc. Japan, 64 (2012), no. 4, 1091--1146.
  • D.A. Croydon, B.M. Hambly and T. Kumagai,
     Convergence of mixing times for sequences of random walks on finite graphs.
     Electron. J. Probab., 17 (2012), no. 3, 1--32.
  • T. Shirai,
    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.
  • F. Hiroshima, I. Sasaki, T. Shirai, A. Suzuki
    Note on the spectrum of discrete Schrödinger operators,
    Journal of Math-for-Industry 4 (2012B-4), 105--108.
  • Sergio Andraus, Makoto Katori, Seiji Miyashita,
    Calogero-Moser Systems as a Diffusion-Scaling Transform of Dunkl Processes on the Line
     (math-ph/1211.6561)
  • Yuta Takahashi, Makoto Katori,
    Noncolliding Brownian Motion with Drift and Time-Dependent Stieltjes-Wigert Determinantal Point Process
     (math-ph/1207.4351)
    J. Math. Phys. 53 (2012) 103305/1-23
  • Makoto Katori,
    System of complex Brownian motions associated with the O'Connell process
    (math.PR/1206.2185)
    J. Stat. Phys. 149 (2012) 411-431
  • Makoto Katori,
    Reciprocal Time Relation of Noncolliding Brownian Motion with Drift
    (math.PR/1204.5629)
    J. Stat. Phys. 148 (2012) 38-52
  • Sergio Andraus, Makoto Katori, Seiji Miyashita,　
    Interacting particles on the line and Dunkl intertwining operator of type A: application to the freezing regime
    (math-ph/1202.5052)　
    J. Phys. A: Math. Theor. 45 (2012) 395201/1-26　
  • Makoto Katori, S
    urvival probability of mutually killing Brownian motions and the O'Connell process
    (math-ph/1112.4009)　
    J. Stat. Phys. 147 (2012) 206-223　
  • Makoto Katori,　
    Determinantal process starting from an orthogonal symmetry is a Pfaffian process
     (math.PR/1104.1864)　
    J. Stat. Phys. 146 (2012) 249-263
  • M.Shinoda,
    Existence of phase transition of percolation on fractal lattices,
    COE Lecture Note Series, Instisute of Mathematics for Industry, Kyushu University, Vol.39 (2012), 12-21
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