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References

  1. Carmona, Philippe; Hu, Yueyun. On the partition function of a directed polymer in a Gaussian random environment. Probab. Theory Related Fields 124 (2002), no. 3, 431--457. MR1939654 (2003m:60286)
  2. Carmona, Philippe; Hu, Yueyun. Strong disorder implies strong localization for directed polymers in a random environment. ALEA Lat. Am. J. Probab. Math. Stat. 2 (2006), 217--229. MR2249669 (2007k:60335)
  3. Comets, Francis; Shiga, Tokuzo; Yoshida, Nobuo. Directed polymers in a random environment: path localization and strong disorder. Bernoulli 9 (2003), no. 4, 705--723. MR1996276 (2004f:60210)
  4. Comets, Francis; Yoshida, Nobuo. Brownian directed polymers in random environment. Comm. Math. Phys. 254 (2005), no. 2, 257--287. MR2117626 (2005m:60242)
  5. Comets, Francis; Yoshida, Nobuo. Branching Random Walks in Space-Time Random Environment: Survival Probability, Global and Local Growth Rates, preprint (2009), arXiv:0907.0509, to appear in J. Theoret. Prob. Math. Review number not available.
  6. Griffeath, David. The binary contact path process. Ann. Probab. 11 (1983), no. 3, 692--705. MR0704556 (85b:60097)
  7. He, Sheng Wu; Wang, Jia Gang; Yan, Jia An. Semimartingale theory and stochastic calculus. Kexue Chubanshe (Science Press), Beijing; CRC Press, Boca Raton, FL, 1992. xiv+546 pp. ISBN: 7-03-003066-4 MR1219534 (95d:60080)
  8. Holley, Richard; Liggett, Thomas M. Generalized potlatch and smoothing processes. Z. Wahrsch. Verw. Gebiete 55 (1981), no. 2, 165--195. MR0608015 (82i:60176)
  9. Hu, Yueyun; Yoshida, Nobuo. Localization for branching random walks in random environment. Stochastic Process. Appl. 119 (2009), no. 5, 1632--1651. MR2513122 (2010e:60217)
  10. Liggett, Thomas M. Interacting particle systems. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], 276. Springer-Verlag, New York, 1985. xv+488 pp. ISBN: 0-387-96069-4 MR0776231 (86e:60089)
  11. Liggett, Thomas M.; Spitzer, Frank. Ergodic theorems for coupled random walks and other systems with locally interacting components. Z. Wahrsch. Verw. Gebiete 56 (1981), no. 4, 443--468. MR0621659 (82h:60193)
  12. Nagahata, Yukio; Yoshida, Nobuo. Central limit theorem for a class of linear systems. Electron. J. Probab. 14 (2009), no. 34, 960--977. MR2506122 (Review)
  13. Nagahata, Yukio; Yoshida, Nobuo. A Note on the Diffusive Scaling Limit for a Class of Linear Systems. Electron. Comm. Probab. 15 (2010), no. 7, 68--78. Math. Review number not available.
  14. Shiozawa, Yuichi. Localization for branching Brownian motions in random environment. Tohoku Math. J. 61 (2009), no. 4, 483--497. Math. Review number not available.
  15. Spitzer, Frank. Infinite systems with locally interacting components. Ann. Probab. 9 (1981), no. 3, 349--364. MR0614623 (82j:60186)
  16. Yoshida, Nobuo. Phase transitions for the growth rate of linear stochastic evolutions. J. Stat. Phys. 133 (2008), no. 6, 1033--1058. MR2462010 (2010a:82050)
  17. Yoshida, Nobuo. Localization for Linear Stochastic Evolutions J. Stat. Phys. 138 (2010), no. 4/5, 568--618. Math. Review number not available.
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