Dong Han Kim

Associate Member
Korea Institute for Advanced Study

• E-mail: drkimdh@gmail.com (more reliable), kimdh@suwon.ac.kr
• Tel: +82 31 229 8156
• Fax: +82 31 220 9385
• Address :
  Department of Mathematics
  The University of Suwon
  San 2-2 Wau-ri Bongdam-eup
  Hwaseong-si Gyeonggi-do, 445-743 Korea

Workshop on Measurable and Topological Dynamical Systems in Asia (June 18 - 20, 2009)

Workshop on Dynamical Systems (Feb. 7, 2007)

Workshop on Dynamical Systems (Feb. 15, 2006)

Some photos

Research Interest

• Ergodic theory and dynamical systems
  
• Entropy and data compression scheme
  
• Test of random number generators
  

Some Useful Links

• Entropy on the World Wide Web

• Mathnet of KAIST
• The Korean Mathematical Society
• American Mathematical Society
• IEEE Information Theory Society

• C compiler for Windows: shareware

Papers

• The convergence of recurrence of blocks for mixing processes, preprint.
  
• Quantitative recurrence properties for group actions, Nonlinearity, 22 (2009) 1-9.
  
• The recurrence time for interval exchange maps, Nonlinearity, 21 (2008) 2201-2210. (with Stefano Marmi)
  
• The first return time properties of an irrational rotation, Proc. Amer. Math. Soc., 136 (2008) 3941-3951. (with Keywon Koh Park)
  
• Tests of randomness by the gambler's ruin algorithm, Appl. Math. Comput., 199 (2008) 195-210. (with Chihurn Kim and Geon Ho Choe)
  
• The dynamical Borel-Cantelli lemma and the waiting time problems, Indag. Math., 18 (2007) 421-434. (with Stefano Galatolo)
  
• The shrinking target property of irrational rotations, Nonlinearity, 20 (2007) 1637-1643.
  
• The dynamical Borel-Cantelli lemma for interval maps, Discrete Contin. Dyn. Syst., 17 (2007), 891-900.
  
• The recurrence time for ergodic systems with infinite invariant measures, Nonlinearity 19 (2006) 2567-2580. (with Stefano Galatolo and Kyewon Koh Park)
  
• The recurrence time for irrational rotations, Osaka J. Math., 43 (2006), 351-364.
  
• On the law of logarithm of the recurrence time, Discrete Contin. Dyn. Syst., 10 (2004), 581-587. (with Chihurn Kim)
  
• The waiting time for irrational rotations, Nonlinearity 16 (2003), 1861-1868. (with Byeong Ki Seo)
  
• The recurrence of blocks for Bernoulli processes, Osaka J. Math., 40 (2003), 171-186.
  
• The first return time test for pseudorandom numbers, J. Comput. Appl. Math., 143 (2002), 263-274. (with Geon Ho Choe)
  
• Average convergence rate of the first return time, Colloq. Math., 84/85 (2000), 159-171. (with Geon Ho Choe)
  
• Entropy and the randomness of digits of pi, Commun. Korean Math. Soc., 15 (2000), 682-689. (with Geon Ho Choe)
  
• Endomorphisms of subshifts, Commun. Korean Math. Soc. 14 (1999), 717-734. (with Geon Ho Choe, Young-One Kim and Jungseob Lee)
  
• Applications of ergodic theory to pesudorandom numbers, Bull. Korean Math. Soc., 35 (1998), 173-187. (with Geon Ho Choe and Chihurn Kim)