
Publications:
Note: Unless otherwise stated, these are not final versions but
only preprints.
Final published versions differ. The copyright of the final versions has been
assigned to the respective journal or publisher.
 (M. Zerner) Recurrence and transience of contractive autoregressive processes and related Markov chains.
Electr. J. Prob.
(2018) vol. 23, paper no. 27,
pp. 124
 (E. Kosygina, M. Zerner)
A zeroone law for recurrence and transience of frog processes.
Probab. Theory Related Fields (2017) 168 no. 1, pp. 317346.
(The final publication is available at www.springerlink.com.
)
Preprint (pdf)
 (E. Kosygina, M. Zerner)
Excursions of excited random walks on integers.
Electr. J. Prob.
(2014) vol. 19, paper no. 25,
pp. 125
 (E. Kosygina, M. Zerner)
Excited random walks: results, methods, open problems.
Bull. Inst. Math. Acad. Sin. (N.S.)
(2013) 8 no. 1, 105157 (in a special issue in honor of S.R.S. Varadhan's 70th birthday)
PDF
 (M. Zerner) Interpolation percolation.
Electr. J. Prob. Vol. 16 (2011), paper 33, 9811000.
 (E. Kosygina, T. Mountford, M. Zerner)
Lyapunov exponents of Green's functions for
random potentials tending to zero.
Probab. Theory Related Fields (2011) 150 no. 12, pp. 4359.
(The final publication is available at www.springerlink.com.
) PDF
 (E. Kosygina, M. Zerner) Positively and negatively excited
random walks on integers, with branching processes.
Electr. J. Prob.
(2008) vol. 13, paper no. 64,
pp. 19521979
 (M. Zerner) The zeroone law for planar random walks in i.i.d. random environments revisited.
Elect. Comm. in Probab. (2007) vol. 12, paper no. 32, 326335
 (M. Zerner) Recurrence and transience of excited random walks on Z^d and strips.
Elect. Comm. in Probab. (2006) vol. 11, paper no. 12, 118  128
 (M.Bramson,
O. Zeitouni , M.Zerner) Shortest spanning trees
and
a counterexample for random walks in random environments.
Ann. Probab. (2006) 34, No. 3, 821856
(Project Euclid)
 (M. Zerner) On the speed of a planar random walk avoiding its past convex hull.
Ann. de l'IHP, Prob. et
Stat. (2005) 41, 887900
PDF (178 KByte)
 (M. Zerner) Multiexcited random walks on integers.
Probab. Theory Related Fields (2005) 133, 98122
PDF (235 KByte)
 (P. Diaconis,
E. MayerWolf,
O. Zeitouni ,
M. Zerner)
The PoissonDirichlet law is the unique invariant distribution for uniform splitmerge
transformations.
Ann. Probab. (2004) 32, No. 1B, 915938
(Project Euclid)
 (M. Zerner) A nonballistic law of large numbers
for random walks in i.i.d. random environment.
Elect. Comm. in Probab. (2002) vol. 7, paper no. 19, 191197
 (E. MayerWolf,
O. Zeitouni ,
M. Zerner)
Asymptotics of certain coagulationfragmentation processes and invariant
PoissonDirichlet measures.
Electr. J. Prob.
(2002) Vol. 7 Paper no.8,
125
 (M. Zerner) Integrability of infinite weighted sums of heavytailed i.i.d. random
variables.
Stoch. Proc. Appl. (2002) 99, No. 1, 8194
PDF (176 KByte)
 (M. Zerner, F. Merkl ) A zeroone law for planar random walks in random environment.
Ann. Probab.
(2001) 29, No.4, 1716  1732
(Project Euclid)
 (M. Zerner) Velocity and Lyapounov exponents of
some random walks in random environment.
Ann. de l'IHP, Prob. et
Stat. (2000) 36, No. 6, 737  748
PDF (223 KByte)
 (A.S. Sznitman ,
M. Zerner)
A law of large numbers for random
walks in random environment.
Ann. Probab.
(1999) 27, No. 4, 1851  1869
(Project Euclid)
 (M. Zerner) Lyapounov exponents and quenched large deviations for
multidimensional random walk in random environment.
Ann. Probab.
(1998) 26, No. 4, 1446  1476
(Project Euclid)
 (M. Zerner) Directional decay of the Green's function for a random
nonnegative potential on Z^d.
Ann. Appl. Probab.
(1998) 8, 246  280
(Project Euclid)
 (M. Zerner) Weak separation properties for selfsimilar sets.
Proc. Amer. Math. Soc. (1996) 124, 3529  3539
Original Article (PDF)
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