38 citations · 121 across the 21 of their papers we have counts for
6 papers · 1 filter
Reflection positivity and phase transitions in lattice spin models
Marek Biskup
Reflection positivity (RP) is a property of Gibbs measures exhibited by a class of lattice spin systems that include the Ising, Potts and Heisenberg models. The RP property is usef…
The renormalization transformation for two-type branching models
Don A. Dawson, Andreas Greven, Frank den Hollander +2
This paper studies countable systems of linearly and hierarchically interacting diffusions taking values in the positive quadrant. These systems arise in population dynamics for tw…
Dynamics & Stochastics: Festschrift in honor of M. S. Keane
Dee Denteneer, Frank den Hollander, Evgeny Verbitskiy
The present volume is a Festschrift for Mike Keane, on the occasion of his 65th birthday on January 2, 2005. It contains 29 contributions by Mike's closest colleagues and friends,…
Random walk in random scenery: A survey of some recent results
Frank den Hollander, Jeffrey E. Steif
. In this paper we give a survey of some recent results for random walk in random scenery (RWRS). On , , we are given a random walk with i.i.d. increments a…
Invasion percolation on regular trees
Omer Angel, Jesse Goodman, Frank den Hollander +1
We consider invasion percolation on a rooted regular tree. For the infinite cluster invaded from the root, we identify the scaling behavior of its -point function for any $r\geq…
How T-cells use large deviations to recognize foreign antigens
Natali Zint, Ellen Baake, Frank den Hollander
A stochastic model for the activation of T-cells is analysed. T-cells are part of the immune system and recognize foreign antigens against a background of the body's own molecules.…