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- Alexander Drewitz, Jürgen Gärtner, Alejandro F. Ramı́rez, Rongfeng Sun
- 2010

We review some old and prove some new results on the survival probability of a random walk among a Poisson system of moving traps on Z, which can also be interpreted as the solution of a parabolic… (More)

Inspired by recent work of Alberts, Khanin and Quastel [AKQ14a], we formulate general conditions ensuring that a sequence of multi-linear polynomials of independent random variables (called… (More)

- Rongfeng Sun
- 2005

The Brownian Web (BW) is a family of coalescing Brownian motions starting from every point in space and time R×R. It was first introduced by Arratia, and later analyzed in detail by Tóth and Werner.… (More)

- Rongfeng Sun, Jan M. Swart
- 2008

The (standard) Brownian web is a collection of coalescing one-dimensional Brownian motions, starting from each point in space and time. It arises as the diffusive scaling limit of a collection of… (More)

We study a random walk pinning model, where conditioned on a simple random walk Y on Z acting as a random medium, the path measure of a second independent simple random walk X up to time t is Gibbs… (More)

- Quentin Berger, Francesco Caravenna, JULIEN POISAT, Rongfeng Sun, Nikos Zygouras
- 2013

We study random pinning and copolymer models, when the return distribution of the underlying renewal process has a polynomial tail with finite mean. We compute the asymptotic behavior of the critical… (More)

Let X and Y be two independent random walks on Z with zero mean and finite variances, and let Lt(X, Y ) be the local time of X −Y at the origin at time t. We show that almost surely with respect to Y… (More)

- Donald A. Dawson, Andreas Greven, F. den Hollander, Rongfeng Sun, Jan M. Swart
- 2007

This paper studies countable systems of linearly and hierarchically interacting diffusions taking values in the positive quadrant. These systems arise in population dynamics for two types of… (More)

We consider disordered systems of a directed polymer type, for which disorder is so-called marginally relevant. These include the usual (shortrange) directed polymer model in dimension (2+ 1), the… (More)

We prove a law of large numbers for random walks in certain kinds of i.i.d. random environments in Zd that is an extension of a result of Bolthausen, Sznitman and Zeitouni [4]. We use this result,… (More)