메뉴 건너뛰기




Volumn 25, Issue 1, 2009, Pages 28-49

Limit theorems and absorption problems for one-dimensional correlated random walks

Author keywords

Absorption problems; Correlated random walks; Limit theorems

Indexed keywords

QUANTUM COMPUTERS;

EID: 61549105547     PISSN: 15326349     EISSN: 15324214     Source Type: Journal    
DOI: 10.1080/15326340802640941     Document Type: Article
Times cited : (41)

References (26)
  • 1
    • 0034819347 scopus 로고    scopus 로고
    • Aharonov, D.; Ambainis, A.; Kempe, J.; Vazirani, U.V. Quantum walks on graphs. In Proceedings of the 33rd Annual ACM Symposium on Theory of Computing 2001, 50-59.
    • Aharonov, D.; Ambainis, A.; Kempe, J.; Vazirani, U.V. Quantum walks on graphs. In Proceedings of the 33rd Annual ACM Symposium on Theory of Computing 2001, 50-59.
  • 2
    • 3242797392 scopus 로고    scopus 로고
    • Optimal stopping rules for correlated random walks with a discount
    • Allaart, R.C. Optimal stopping rules for correlated random walks with a discount. J. Appl. Prob. 2004, 41, 483-496.
    • (2004) J. Appl. Prob , vol.41 , pp. 483-496
    • Allaart, R.C.1
  • 3
    • 0035359595 scopus 로고    scopus 로고
    • Optimal stopping rules for directionally reinforced processes
    • Allaart, PC; Monticino, M.G. Optimal stopping rules for directionally reinforced processes. Adv. Appl. Prob. 2001, 33, 483-504.
    • (2001) Adv. Appl. Prob , vol.33 , pp. 483-504
    • Allaart, P.C.1    Monticino, M.G.2
  • 4
    • 61549134391 scopus 로고    scopus 로고
    • Ambainis. A. Quantum walks and their algorithmic applications. Internat. J. Quantum Information 2003, 1, 507-518.
    • Ambainis. A. Quantum walks and their algorithmic applications. Internat. J. Quantum Information 2003, 1, 507-518.
  • 5
    • 0034832939 scopus 로고    scopus 로고
    • Ambainis, A.; Bach, E.; Nayak, A.; Vishwanath, A.; Watrous, J. One-dimensional quantum walks. In Proceedings of the 33rd Aannual ACM Symposium on Theory of Computing 2001. 37-49.
    • Ambainis, A.; Bach, E.; Nayak, A.; Vishwanath, A.; Watrous, J. One-dimensional quantum walks. In Proceedings of the 33rd Aannual ACM Symposium on Theory of Computing 2001. 37-49.
  • 7
    • 0034339320 scopus 로고    scopus 로고
    • The correlated random walk with boundaries: A combinatorial solution
    • Bohm, W. The correlated random walk with boundaries: a combinatorial solution. J. Appl. Prob. 2000, 37, 470-479.
    • (2000) J. Appl. Prob , vol.37 , pp. 470-479
    • Bohm, W.1
  • 8
    • 0037082923 scopus 로고    scopus 로고
    • Multivariate Lagrange inversion and the maximum of a persistent random walk
    • Bohm, W. Multivariate Lagrange inversion and the maximum of a persistent random walk. J. Stat. Plan. Inference 2002. 101, 23-31.
    • (2002) J. Stat. Plan. Inference , vol.101 , pp. 23-31
    • Bohm, W.1
  • 9
    • 21144463551 scopus 로고
    • The Gillis-Domb-Fisher correlated random walk
    • Chen, A.Y.; Renshaw. E. The Gillis-Domb-Fisher correlated random walk. J. Appl. Prob. 1992,29, 792-813.
    • (1992) J. Appl. Prob , vol.29 , pp. 792-813
    • Chen, A.Y.1    Renshaw, E.2
  • 10
    • 21844486549 scopus 로고
    • The general correlated random walk
    • Chen. A.Y.; Renshaw, E. The general correlated random walk. J. Appl. Prob. 1994. 31, 869-884.
    • (1994) J. Appl. Prob , vol.31 , pp. 869-884
    • Chen, A.Y.1    Renshaw, E.2
  • 13
    • 0043092395 scopus 로고    scopus 로고
    • Quantum random walks - An introductory overview
    • Kempe. J. Quantum random walks - An introductory overview. Contemporary Physics 2003, 44, 307-327.
    • (2003) Contemporary Physics , vol.44 , pp. 307-327
    • Kempe, J.1
  • 14
    • 2342589973 scopus 로고    scopus 로고
    • Quantum random walks in one dimension
    • Konno, N. Quantum random walks in one dimension. Quantum Information Processing 2002,1, 345-354.
    • (2002) Quantum Information Processing , vol.1 , pp. 345-354
    • Konno, N.1
  • 15
    • 28844485932 scopus 로고    scopus 로고
    • A new type of limit theorems for the one-dimensional quantum random walk
    • Konno. N. A new type of limit theorems for the one-dimensional quantum random walk. J. Mathematical Society of Japan 2005, 57, 1179-1195.
    • (2005) J. Mathematical Society of Japan , vol.57 , pp. 1179-1195
    • Konno, N.1
  • 16
    • 0347243566 scopus 로고    scopus 로고
    • Limit theorems and absorption problems for quantum random walks in one dimension
    • Konno, N. Limit theorems and absorption problems for quantum random walks in one dimension. Quantum Information and Computation 2002, 2, 578-595.
    • (2002) Quantum Information and Computation , vol.2 , pp. 578-595
    • Konno, N.1
  • 18
    • 0037428418 scopus 로고    scopus 로고
    • Absorption problems for quantum random walks in one dimension
    • Konno. N.; Namiki, T.; Soshi. T.; Sudbury. A. Absorption problems for quantum random walks in one dimension. J. Phys. A Math. Gen. 2003, 36. 241-253.
    • (2003) J. Phys. A Math. Gen , vol.36 , pp. 241-253
    • Konno, N.1    Namiki, T.2    Soshi, T.3    Sudbury, A.4
  • 19
    • 61549105182 scopus 로고    scopus 로고
    • Krattenthaler. C. The enumeration of lattice paths with respect to their number of turns. In Advances in Combinatorial Methods and Applications to Probability and Statistics-, Balakrishnan. N.. Ed.; Birkhäuser: Boston, 1997; 29-58.
    • Krattenthaler. C. The enumeration of lattice paths with respect to their number of turns. In Advances in Combinatorial Methods and Applications to Probability and Statistics-, Balakrishnan. N.. Ed.; Birkhäuser: Boston, 1997; 29-58.
  • 20
    • 0001680722 scopus 로고
    • Some explicit results for correlated random walks
    • Lal, R.; Bhat U.N. Some explicit results for correlated random walks. J. Appl. Prob. 1989, 27, 757-766.
    • (1989) J. Appl. Prob , vol.27 , pp. 757-766
    • Lal, R.1    Bhat, U.N.2
  • 21
    • 0141627402 scopus 로고    scopus 로고
    • Parrondo games as lattice gas automata
    • Meyer, D.; Blumer. H. Parrondo games as lattice gas automata. J. Stat. Phys. 2002. 107. 225-239.
    • (2002) J. Stat. Phys , vol.107 , pp. 225-239
    • Meyer, D.1    Blumer, H.2
  • 22
    • 38249035861 scopus 로고
    • Occupation probability of a correlated random walk and a correlated ruin problem
    • Mukherjea, A.; Steele, D. Occupation probability of a correlated random walk and a correlated ruin problem. Statist. Prob. Lett. 1987, 5, 105-111.
    • (1987) Statist. Prob. Lett , vol.5 , pp. 105-111
    • Mukherjea, A.1    Steele, D.2
  • 23
    • 0000697158 scopus 로고
    • The correlated random walk
    • Renshaw, E.; Henderson, R. The correlated random walk. J. Appl. Prob. 1981, 18, 403-414.
    • (1981) J. Appl. Prob , vol.18 , pp. 403-414
    • Renshaw, E.1    Henderson, R.2
  • 26
    • 0000442044 scopus 로고
    • Some problems on a one-dimensional correlated random walk with various types of barrier
    • Zhang, Y.L. Some problems on a one-dimensional correlated random walk with various types of barrier. J. Appl. Prob. 1992, 29, 196-201.
    • (1992) J. Appl. Prob , vol.29 , pp. 196-201
    • Zhang, Y.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.