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Tetsuya Hattori: Papers; Stochastic ranking process and online rankings.

1. T. Hattori, Cancellation of fluctuation in stochastic ranking process with space-time dependent intensities, Tohoku Mathematical Journal 71(3) (2019) 359-396.

   270KB pdf file

2. T. Hattori, Doubly uniform complete law of large numbers for independent point processes, Journal of Mathematical Sciences the University of Tokyo 25 (2018) 171-192.

   180KB pdf file (ver.2018)

3. T. Hattori, Open problems to an infinite system of quasi-linear partial differential equations with non-local terms, Symposium on Probability Theory, Kyoto, 2014/12, RIMS Kokyuroku 1952 (2015) 9-16.

   120KB pdf file

4. T. Hattori, Point process with last-arrival-time dependent intensity and 1-dimensional incompressible fluid system with evaporation, Funkcialaj Ekvacioj 60 (2017) 171-212.

   240KB pdf file

5. T. Hattori, S. Kusuoka, Stochastic ranking process with space-time dependent intensities, ALEA, Lat. Am. J. Probab. Math. Stat. 9(2) (2012) 571-607 (Latin American Journal of Probability and Mathematical Statistics).

   200KB pdf file

6. Y. Hariya, K. Hattori, T. Hattori, Y. Nagahata, Y. Takeshima, T. Kobayashi, Stochastic ranking process with time dependent intensities, Tohoku Mathematical Journal 63-1 (2011) 77-111.

   270KB pdf file

7. T. Hattori, Stochastic ranking process and web ranking numbers, in Mathematical Quantum Field Theory and Renormalization Theory, T.Hara, T.Matsui, F.Hiroshima, eds., Kyushu University Math-for-Industry Lecture Note Series 30 (2011) 178-191.

   480KB pdf file

8. K. Hattori, T. Hattori, Sales ranks, Burgers-like equations, and least-recently-used caching, RIMS Kokyuroku Bessatsu B21 (2010) 149-162.

   160KB pdf file

9. K. Hattori, T. Hattori, Hydrodynamic limit of move-to-front rules and search cost probabilities, (2009) preprint.

   180KB pdf file	arXiv:0908.3222

10. K. Hattori, T. Hattori, Mathematical analysis of long tail economy using stochastic ranking processes, (2008) preprint.

    210KB pdf file	arXiv:0804.1837

11. K. Hattori, T. Hattori, Equation of motion for incompressible mixed fluid driven by evaporation and its application to online rankings, Funkcialaj Ekvacioj 52 (2009) 301-319.

    170KB pdf file

12. K. Hattori, T. Hattori, Existence of an infinite particle limit of stochastic ranking process, Stochastic Processes and their Applications 119 (2009) 966-979.

    150KB pdf file

• An introductory page containing background materials of the theory in the papers listed above.
  
  
• If your terminal allows Japanese characters, here is an introductory page in Japanese, including also lists of talks and review articles.
  
  

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