Publications:

• Random Walks in Random Media

  • (E. Kosygina, T. Mountford, M. Zerner) Lyapunov exponents of Green's functions for random potentials tending to zero.
    Preprint 2009. PDF

  • (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.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 PDF

  • (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

  • (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) Postscript (427 KByte) , PDF (292 KByte)

  • (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) Postscript (1229 KByte)

  • (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) PDF (452 KByte)

• Self-Interacting Random Walks

  • (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) 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. Zerner) Multi-excited random walks on integers.
    Probab. Theory Related Fields (2005) 133, 98-122 Postscript (536 KByte), PDF (235 KByte)

  • (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 Postscript (438 KByte) , PDF (178 KByte)

• Coagulation-Fragmentation

  • (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 PDF (298 KByte)

  • (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

• Heavy tails

  • (M. Zerner) Integrability of infinite weighted sums of heavy-tailed i.i.d. random variables.
    Stoch. Proc. Appl. (2002) 99, No. 1, 81-94 Postscript (238 KByte) , PDF (245 KByte)

• Fractals

  • (M. Zerner) Weak separation properties for self-similar sets.
    Proc. Amer. Math. Soc. (1996) 124, 3529 - 3539 Original Article (PDF)

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