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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. 1-24
- (E. Kosygina, M. Zerner)
A zero-one law for recurrence and transience of frog processes.
Probab. Theory Related Fields (2017) 168 no. 1, pp. 317-346.
(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. 1-25
- (E. Kosygina, M. Zerner)
Excited random walks: results, methods, open problems.
Bull. Inst. Math. Acad. Sin. (N.S.)
(2013) 8 no. 1, 105-157 (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, 981-1000.
- (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. 1-2, pp. 43-59.
(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. 1952-1979
- (M. Zerner) The zero-one law for planar random walks in i.i.d. random environments revisited.
Elect. Comm. in Probab. (2007) vol. 12, paper no. 32, 326-335
- (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, 821-856
(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, 887-900
PDF (178 KByte)
- (M. Zerner) Multi-excited random walks on integers.
Probab. Theory Related Fields (2005) 133, 98-122
PDF (235 KByte)
- (P. Diaconis,
E. Mayer-Wolf,
O. Zeitouni ,
M. Zerner)
The Poisson-Dirichlet law is the unique invariant distribution for uniform split-merge
transformations.
Ann. Probab. (2004) 32, No. 1B, 915-938
(Project Euclid)
- (M. Zerner) A non-ballistic law of large numbers
for random walks in i.i.d. random environment.
Elect. Comm. in Probab. (2002) vol. 7, paper no. 19, 191-197
- (E. Mayer-Wolf,
O. Zeitouni ,
M. Zerner)
Asymptotics of certain coagulation-fragmentation processes and invariant
Poisson-Dirichlet measures.
Electr. J. Prob.
(2002) Vol. 7 Paper no.8,
1-25
- (M. Zerner) Integrability of infinite weighted sums of heavy-tailed i.i.d. random
variables.
Stoch. Proc. Appl. (2002) 99, No. 1, 81-94
PDF (176 KByte)
- (M. Zerner, F. Merkl ) A zero-one 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 self-similar sets.
Proc. Amer. Math. Soc. (1996) 124, 3529 - 3539
Original Article (PDF)
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