Vlada Limic's preprints & papers

Book

Greg Lawler and Vlada Limic. Random Walk: A Modern Introduction. Cambridge University Press, 2010.
(A draft, 2009)

Preprints

A playful note on spanning and surplus edges. (abstract, pdf file) (03/2017)
(with Nedžad Limić) Equidistribution, Uniform distribution: a probabilist's perspective. (abstract, pdf file) (07/2016)
Extremal eternal multiplicative coalescent is encoded by its Lévy-type processes. (abstract, pdf file) (01/2016)
(with Mickaël Launay) Generalized Interacting Urns. (abstract, pdf file) (07/2012)
(with Andreas Greven and Anita Winter) Coalescent processes arising in the study of diffusive clustering. (abstract, pdf file) (revised 10/2011)

Research papers

(with Anna Talarczyk-Noble) Diffusion limits at small times for Λ-coalescents with a Kingman component. EJP, Vol. 20, Paper 45, 20 pages, 2015. (abstract)
(with Anna Talarczyk-Noble) Second-order asymptotics for the block counting process in a class of regularly varying Λ-coalescents. Ann. Probab., Vol. 43, 1419--1455, 2015. (abstract)
(with Julien Berestycki and Nathanaël Berestycki) Asymptotic sampling formulae for Λ-coalescents. Ann. IHP Vol. 50, No. 3, 715--731, 2014. (abstract)
(with Julien Berestycki and Nathanaël Berestycki) A small-time coupling between Λ-coalescents and branching processes. Ann. Appl. Probab. Vol. 24, No. 2, 449--475, 2014. (abstract)
Genealogies of regular exchangeable coalescents with applications to sampling. Ann. IHP , Vol. 48, No. 3, 706--720, 2012. (abstract)
(with Omer Angel and Nathanaël Berestycki) Global divergence of spatial coalescents. Probab. Theo. Rel. Fields, Vol. 152, No. 3, 625--679, 2012. (abstract)
(with Stas Volkov) VRRW on complete-like graphs: almost sure behavior. Ann. Appl. Probab. Vol. 20, No. 6, 2346--2388, 2010. (abstract)
On the speed of coming down from infinity for Xi-coalescent processes. EJP, Vol. 15, 217--240, 2010. (abstract)
(with Julien Berestycki and Nathanaël Berestycki) The Λ-coalescent speed of coming down from infinity. Ann. Probab. Vol. 38, No. 1, 207--233, 2010. (abstract)
(with Codina Cotar) Attraction time for strongly reinforced walks. Ann. Appl. Probab. Vol. 19, No. 5, 1972-2007, 2009. (abstract)
(with Pierre Tarres) What is the difference between a square and a triangle? In and out of equillibrium 2. Series: Progress in Probability, Vol. 60, 481--496, Birkhauser, 2008. (abstract)
(with Pierre Tarres) Attracting edge and strongly edge reinforced walks. Ann. Probab., Vol. 35, No. 5, 1783--1806, 2007. (abstract)
(with Anja Sturm) The spatial Λ-coalescent. EJP, Vol. 11, 363--393, 2006. (abstract)
(with Andreas Greven and Anita Winter) Representation theorems for interacting Moran models, interacting Fisher--Wright diffusions and applications. EJP, Vol. 10, 1286--1358, 2005. (abstract)
(with Greg Lawler) The Beurling estimate for a class of random walks. EJP, Vol. 9, 846--861, 2004. (abstract)
(with Robin Pemantle) More rigorous results on the Kauffman-Levin model of evolution. Ann. Probab., Vol. 32, 2149-2172, 2004. (abstract)
(with Rick Durrett) Rigorous results for the NK model. Ann. Probab., Vol. 31, 1713-1753, 2003. (abstract)
Attracting edge property for a class of reinforced random walks. Ann. Probab., Vol. 31, 1615--1654, 2003. (abstract)
(with Rick Durrett) A surprising Poisson process arising from a species competition model. Stoch. Process. Appl., Vol. 102, 301--309, 2002. (abstract)
(with Rick Durrett and Harry Kesten) Once edge-reinforced random walk on a tree, Probab. Theo. Rel. Fields, Vol. 122, 567-592 (2002) (abstract)
A LIFO queue in heavy traffic, Ann. Appl. Prob., Vol. 11, 301-332 (2001) (abstract)
(with Rick Durrett) On the quantity and quality of single nucleotide polymorphisms in the human genome, Stoch. Processes Appl. Vol. 93, 1-24 (2001) (abstract)
On the behavior of LIFO preemptive resume queues in heavy traffic. ECP, Vol. 5, 13-27 (2000), paper 2. (abstract)
(with David Aldous) The entrance boundary of the multiplicative coalescent. EJP, Vol. 3 (1998), paper 3, pp 59. (abstract)