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1.

Exact distributions of the number of distinct and common sites visited by N independent random walkers.

Kundu A, Majumdar SN, Schehr G.

Phys Rev Lett. 2013 May 31;110(22):220602. Epub 2013 May 29. Erratum in: Phys Rev Lett. 2013 Jul 26;111(4):049904.

PMID:
23767707
2.

Number of common sites visited by N random walkers.

Majumdar SN, Tamm MV.

Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Aug;86(2 Pt 1):021135. Epub 2012 Aug 31.

PMID:
23005750
3.

Territory covered by N random walkers on fractal media: the Sierpinski gasket and the percolation aggregate.

Acedo L, Yuste SB.

Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Jan;63(1 Pt 1):011105. Epub 2000 Dec 21.

PMID:
11304232
4.

Sorting single events: mean arrival times of N random walkers.

Dräger J, Klafter J.

Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999 Dec;60(6 Pt A):6503-6.

PMID:
11970567
5.

Diffusion-driven spreading phenomena: the structure of the hull of the visited territory.

Arapaki E, Argyrakis P, Bunde A.

Phys Rev E Stat Nonlin Soft Matter Phys. 2004 Mar;69(3 Pt 1):031101. Epub 2004 Mar 8.

PMID:
15089259
6.

Fraction of uninfected walkers in the one-dimensional Potts model.

O'Donoghue SJ, Bray AJ.

Phys Rev E Stat Nonlin Soft Matter Phys. 2002 May;65(5 Pt 1):051114. Epub 2002 May 20.

PMID:
12059536
7.

Territory covered by N random walkers.

Yuste SB, Acedo L.

Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999 Oct;60(4 Pt A):R3459-62.

PMID:
11970257
8.

Overlap of two Brownian trajectories: exact results for scaling functions.

Tamm MV, Stadnichuk VI, Ilyina AM, Grebenkov DS.

Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Apr;89(4):042137. Epub 2014 Apr 21.

PMID:
24827222
9.

Nonequilibrium dynamics of random field Ising spin chains: exact results via real space renormalization group.

Fisher DS, Le Doussal P, Monthus C.

Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Dec;64(6 Pt 2):066107. Epub 2001 Nov 14.

PMID:
11736236
10.

Probability distributions related to the law of the iterated logarithm.

Robbins H, Siegmund D.

Proc Natl Acad Sci U S A. 1969 Jan;62(1):11-3.

11.

Spatial extent of branching Brownian motion.

Ramola K, Majumdar SN, Schehr G.

Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Apr;91(4):042131. Epub 2015 Apr 23.

PMID:
25974462
12.

Occupancy of a single site by many random walkers

Boguna M, Berezhkovskii AM, Weiss GH.

Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 2000 Sep;62(3 Pt A):3250-6.

PMID:
11088821
13.

Maximum distributions of bridges of noncolliding Brownian paths.

Kobayashi N, Izumi M, Katori M.

Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Nov;78(5 Pt 1):051102. Epub 2008 Nov 4.

PMID:
19113090
14.

Random walkers in one-dimensional random environments: exact renormalization group analysis.

Le Doussal P, Monthus C, Fisher DS.

Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999 May;59(5 Pt A):4795-840.

PMID:
11969433
15.

Convex hulls of random walks: Large-deviation properties.

Claussen G, Hartmann AK, Majumdar SN.

Phys Rev E Stat Nonlin Soft Matter Phys. 2015 May;91(5):052104. Epub 2015 May 5.

PMID:
26066116
16.

Revisiting random walks in fractal media: on the occurrence of time discrete scale invariance.

Bab MA, Fabricius G, Albano EV.

J Chem Phys. 2008 Jan 28;128(4):044911. doi: 10.1063/1.2823732.

PMID:
18248004
17.

Analytical results for the statistical distribution related to a memoryless deterministic walk: dimensionality effect and mean-field models.

Terçariol CA, Martinez AS.

Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Aug;72(2 Pt 1):021103. Epub 2005 Aug 16.

PMID:
16196542
18.

Exact and efficient discrete random walk method for time-dependent two-dimensional environments.

Asikainen J, Heinonen J, Ala-Nissila T.

Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Dec;66(6 Pt 2):066706. Epub 2002 Dec 30.

PMID:
12513443
19.

Persistence properties of a system of coagulating and annihilating random walkers.

Krishnamurthy S, Rajesh R, Zaboronski O.

Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Oct;68(4 Pt 2):046103. Epub 2003 Oct 3.

PMID:
14682998
20.

Distribution of the time at which N vicious walkers reach their maximal height.

Rambeau J, Schehr G.

Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Jun;83(6 Pt 1):061146. Epub 2011 Jun 24.

PMID:
21797341
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