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95/105= 0.91


1,1

Deterministic tourist walk

doi: 10.6062/jcis.2009.01.01.0014(Free PDF)

Rodrigo Silva Gonzalez, Juliana Militao Berbert, Cesar Augusto Sangaletti Tercariol, Wilnice Tavares Reis Oliveira and Alexandre Souto Martinez

Abstract

A set of N points is randomly spread in a d-dimensional hypercube of unitary edges. The neighborhood statistics among any pair of points is known as the "random point problem" (RPP). A walker can move over these points following the deterministic rule of going, at each time step, to the nearest site not visited in the previous µ steps. This partially self-avoiding walk is known as "deterministic tourist walk" (DTW). Here we present some results on the RPP and on dynamic aspects of the DTW.

Keywords

Tourist walks, disordered media, partially self-avoiding walks.

References

[1] FISHER DS. 1984. Phys. Rev. A, 30: 960. 10.1103/PhysRevA.30.960

[2] METZLER R & KLAFTER J. 2000. Phys. Rep., 339: 1. 10.1016/S0370-1573(00)00070-3

[3] DERRIDA B. 1997. Physica D 107: 186. 10.1016/S0167-2789(97)00086-9

[4] FREUND H & GRASSBERGER P. 1992. Physica A, 190: 218. 10.1016/0378-4371(92)90033-M

[5] BUNIMOVICH LA & TROUBETZKOY SE. 1992. J. Stat. Phys., 67: 289. 10.1007/BF01049035

[6] GALE D, PROPP J, SUTHERLAND S & TROUBETZKOY S. 1995. Math. Inteligencer, 17: 48.

[7] BUNIMOVICH LA. 2004. Physica D, 187: 20. 10.1016/j.physd.2003.09.028

[8] LIMA GF, MARTINEZ AS & KINOUCHI O. 2001. Phys. Rev. Lett., 87: 010603. 10.1103/PhysRevLett.87.010603

[9] STANLEY HE & BULDYREV SV. 2001. Nature (London), 413: 373. 10.1038/35096668

[10] CLARK PJ & EVANS FC. 1955. Science, 121: 397. 10.1126/science.121.3142.397

[11] CLARK PJ. 1956. Science, 123: 373. 10.1126/science.123.3192.373

[12] DACEY MF. 1969. Geographical Analysis, 1: 385.

[13] COX TF. 1981. Biometrics, 37: 367. 10.2307/2530424

[14] TERÇARIOL CAS, MOURA KIIPPER F & MARTINEZ AS. 2007. J. Phys. A, 40: 1981. 10.1088/1751-8113/40/9/005

[15] ABRAMOWITZ M & STEGUN IA. (eds.) 1972. Handbook of Mathematical Functions (Dover Publications, New York).

[16] MEZARD M & PARISI G. 1986. Europhys. Lett., 2: 913. Ž 10.1209/0295-5075/2/12/005

[17] PERCUS AG & MARTIN OC. 1996. Phys. Rev. Lett., 76: 1188. 10.1103/PhysRevLett.76.1188

[18] TERCž ARIOL CAS & MARTINEZ AS. 2005. Phys. Rev. E, 72: 021103. 10.1103/PhysRevE.72.021103

[19] TERCž ARIOL CAS & MARTINEZ AS. 2006. Braz. J. Phys., 36: 232. 10.1590/S0103-97332006000200017

[20] DERRIDA B & FLYVBJERG H. 1987. J. Phys. (Paris), 48: 971. 10.1051/jphys:01987004806097100

[21] KAUFFMAN SA. 1969. J. Theor. Biol., 22: 437. 10.1016/0022-5193(69)90015-0

[22] RISAU-GUSMAN S, MARTINEZ AS & KINOUCHI O. 2003. Phys. Rev. E, 68: 016104. 10.1103/PhysRevE.68.016104

[23] KINOUCHI O, MARTINEZ AS, LIMA GF, LOURENO GM & RISAUGUSMAN S. 2002. Physica A, 315: 665. 10.1016/S0378-4371(02)00972-X

[24] TERCž ARIOL CAS, GONZALEZ RS & MARTINEZ AS. 2007. Phys. Rev. E, 75: 061117. 10.1103/PhysRevE.75.061117

[25] TERCž ARIOL CAS, GONZALEZ RS, OLIVEIRA WTR & MARTINEZ AS. 2007. Physica A. 10.1016/j.physa.2007.07.019

[26] CAMPITELI MG, KINOUCHI PDO & MARTINEZ AS. 2006. Phys. Rev. E, 74: 026703. 10.1103/PhysRevE.74.026703

[27] BACKES AR, BRUNO OM, CAMPITELI MG & MARTINEZ AS. 2006. Lect. Note Comput. Sci., 4225: 784.

[28] CAMPITELI MG, MARTINEZ AS & BRUNO OM. 2006. Lect. Note Comput. Sci., 4140: 159.

[29] TERÇARIOL CAS & MARTINEZ AS. 2008. Physical Review E, 78: 070603.

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