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- Zdzisław Burda, Jakub Duda, Jean-Marc Luck, Bartłomiej Waclaw
- Physical review letters
- 2009

We define a new class of random walk processes which maximize entropy. This maximal entropy random walk is equivalent to generic random walk if it takes place on a regular lattice, but it is not if… (More)

- Zdzisław Burda, Romuald A. Janik, Bartłomiej Waclaw
- Physical review. E, Statistical, nonlinear, and…
- 2010

We show that the eigenvalue density of a product X=X1X2...XM of M independent NxN Gaussian random matrices in the limit N-->infinity is rotationally symmetric in the complex plane and is given by a… (More)

- Bartłomiej Waclaw, Martin R. Evans
- Physical review letters
- 2012

We study a far-from-equilibrium system of interacting particles, hopping between sites of a 1D lattice with a rate which increases with the number of particles at interacting sites. We find that… (More)

- Philip Greulich, Bartłomiej Waclaw, Rosalind J. Allen
- Physical review letters
- 2012

Drug gradients are believed to play an important role in the evolution of bacteria resistant to antibiotics and tumors resistant to anticancer drugs. We use a statistical physics model to study the… (More)

- Rosalind J. Allen, Bartłomiej Waclaw
- Physical biology
- 2016

The problem of antibiotic resistance poses challenges across many disciplines. One such challenge is to understand the fundamental science of how antibiotics work, and how resistance to them can… (More)

- Bartłomiej Waclaw, Rosalind J. Allen, Martin R. Evans
- Physical review letters
- 2010

We study a simple quasispecies model for evolution in two different habitats, with different fitness landscapes, coupled through one-way migration. Our key finding is a dynamical phase transition at… (More)

We consider stochastic rules of mass transport which lead to steady states that factorize over the links of a one-dimensional ring. Based on the knowledge of the steady states, we derive the onset of… (More)

- F D C Farrell, Oskar Hallatschek, Davide Marenduzzo, Bartłomiej Waclaw
- Physical review letters
- 2013

We study colonies of nonmotile, rod-shaped bacteria growing on solid substrates. In our model, bacteria interact purely mechanically, by pushing each other away as they grow, and consume a diffusing… (More)

Stochastic mass transport models are usually described by specifying hopping rates of particles between sites of a given lattice, and the goal is to predict the existence and properties of the steady… (More)

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