NCIRW

Publication output of ERC grant 208417-NCIRW (Non-classical interacting random walks):

The following two PhD theses (Dr. rer. nat.) were fully supported by ERC grant 208417-NCIRW:

Johannes Rueß. Lyapunov Exponents of Brownian Motion in Stationary and Ergodic Potential (2014). The thesis includes:

J. Rueß. Lyapunov exponents of Brownian motion: decay rates for scaled Poissonian potentials and bounds. Markov Process. Related Fields 18 (2012), no. 4, 595--612. (arXiv)
J. Rueß. A variational formula for the Lyapunov exponent of Brownian motion in stationary ergodic potential. ALEA Lat. Am. J. Probab. Math. Stat. 11 (2014), no. 1, 679--709.
J. Rueß. Continuity results and estimates for the Lyapunov exponent of Brownian motion in stationary potential. To appear in Braz. J. Probab. Stat.

Elisabeth Bauernschubert. Branching processes in random environments with migration and excited random walks (2015). The thesis includes:

E. Bauernschubert. Perturbing transient random walk in a random environment with cookies of maximal strength. Ann. Inst. Henri Poincare Probab. Stat. 49 (2013), no. 3, 638--653.
E. Bauernschubert. Recurrence and transience of critical branching processes in random environment with immigration and an application to excited random walks. Adv. in Appl. Probab. 46 (2014), no. 3, 687--703.
E. Bauernschubert. On the speed of a one-dimensional random walk in a random environment perturbed by cookies of strength one. Preprint, 2015. (arXiv)

In addition, the following publications were partially supported by ERC grant 208417-NCIRW.

(E. Kosygina, M. Zerner) A zero-one law for recurrence and transience of frog processes. 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

(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

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