@article{benichou:020102,
	title = {Two-dimensional intermittent search processes: An alternative to L[e-acute]vy flight strategies},
	author = {O. B\'{e}nichou and C. Loverdo and M. Moreau and R. Voituriez},
	journal = {Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)},
	number = {2},
	pages = {020102},
	publisher = {APS},
	url = {http://link.aps.org/abstract/PRE/v74/e020102},
	volume = {74},
	year = {2006},
	biburl = {http://www.bibsonomy.org/bibtex/202fa009f7b85707f4059aaf14b554def/andreab},
	abstract = {   Lévy flights are known to be optimal search strategies in the particular case of revisitable targets. In the
relevant situation of nonrevisitable targets, we propose an alternative model of two-dimensional 2D search
processes, which explicitly relies on the widely observed intermittent behavior of foraging animals. We show
analytically that intermittent strategies can minimize the search time, and therefore do constitute real optimal
strategies. We study two representative modes of target detection and determine which features of the search
time are robust and do not depend on the specific characteristics of detection mechanisms. In particular, both
modes lead to a global minimum of the search time as a function of the typical times spent in each state, for
the same optimal duration of the ballistic phase. This last quantity could be a universal feature of 2D inter-
mittent search strategies.
},
	doi = {10.1103/PhysRevE.74.020102}, eid = {020102}, numpages = {4}, collaboration = {},
	keywords = {ecology flight levy problems processes random search }
}

@incollection{statphys23_0435,
	title = {Two-dimensional intermittent search processes: An alternative to Levy flight strategies},
	address = {Genova, Italy},
	author = {C. Loverdo and O. Benichou and R. Voituriez and M. Moreau},
	booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics},
	editor = {Luciano Pietronero and Vittorio Loreto and Stefano Zapperi},
	month = {9-13 July},
	url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=435},
	year = {2007},
	biburl = {http://www.bibsonomy.org/bibtex/2e02993157386c96fded387c4a2a526f4/statphys23},
	abstract = {Levy flights are known to be optimal search strategies in the particular case of revisitable targets. In the relevant situation of nonrevisitable targets, we propose an alternative model of two-dimensional 2D search processes, which explicitly relies on the widely observed intermittent behavior of foraging animals. We show analytically that intermittent strategies can minimize the search time, and therefore do constitute real optimal strategies. We study two representative modes of target detection and determine which features of the search time are robust and do not depend on the speci?c characteristics of detection mechanisms. In particular, both modes lead to a global minimum of the search time as a function of the typical times spent in each state, for the same optimal duration of the ballistic phase. This last quantity could be a universal feature of 2D intermittent search strategies.

References : 

 G.M. Viswanathan, S.V. Buldyrev, S.Havlin, M.G.E. Da Luz, E.P. Raposo et H.E.
 Stanley : Optimizing the success of random searches. Nature, 401(6756):911-914, (1999).

   O.Benichou, C.Loverdo, M.Moreau et R.Voituriez, A minimal model of intermittent search in dimension two, Journal of Physics : Condensed Matter 19, 065141 (2007)

  O.Benichou, C.Loverdo, M.Moreau et R.Voituriez, Two-dimensional intermittent search processes : An alternative to Levy flight strategies Physical Review E 74, 020102 (2006)

This last article has been commented in a news and views in Nature : 

   M.F. Shlesinger : Mathematical physics : Search research. Nature, 443:281, (2006)},
	keywords = {first intermittent passage processes random search statphys23 strategies time topic-11 walks }
}

@incollection{statphys23_0421,
	title = {Optimal Search Strategies for Hidden Targets},
	address = {Genova, Italy},
	author = {O. Benichou and C. Loverdo and M. Moreau and R. Voituriez},
	booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics},
	editor = {Luciano Pietronero and Vittorio Loreto and Stefano Zapperi},
	month = {9-13 July},
	url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=421},
	year = {2007},
	biburl = {http://www.bibsonomy.org/bibtex/2779aa51e3517d98ac494795906a1b4fb/statphys23},
	abstract = {Many physical, chemical or biological problems can be rephrased as search
processes, involving a searcher and a target of unknown position. We show that
intermittent search strategies, alternating active search phases and non
reactive displacement phases, are universal for a wide class of problems
involving search time optimization. More precisely, we address the general
question of determining in which cases a searcher should, or should not,
interrupt his search activity by losing time in non reactive phases of mere
displacement, and which durations of each phase optimize the search time. Using
a representative analytical model, we show that intermittent strategies do
optimize the search time as soon as the target is difficult to detect, and we
explicitly give the optimal search strategies, which depend on the memory skills
of the searcher.


References:\\
1. M. Coppey, O. Benichou, R. Voituriez,  and M. Moreau,   Biophys. J. 87, 1640 (2004)

2. O. Benichou, M. Coppey, M. Moreau, PH Suet, R. Voituriez, Phys. Rev. Lett. {\bf 94}, 198101 (2005)


3. O Benichou, C. Loverdo, M. Moreau, R. Voituriez, Phys. Rev. E {\bf 74}, 020102 (2006)},
	keywords = {first passage processes random search statistics statphys23 topic-11 walks }
}