Physical Review E, Editors' suggestion in https://journals.aps.org/pre/highlights

"Adsorption of interacting self-avoiding trails in two dimensions"

Lattice trails in two dimensions are a greatly simplified system that can give insight into the complex phase diagram of polymer adsorption on a surface. The authors simulate three different adsorption scenarios in this system, and study the resulting phases and phase boundaries as well as the critical exponents.


Referee's Report on

"Asymptotic enumeration of incidence matrices"

This is a delightful paper on the asymptotic enumeration of 0-1-matrices. (...)


Referee Reports on

"Flat histogram version of the pruned and enriched Rosenbluth method"

Referee A: This paper makes a significant contribution to the means and methods of simulating random structures, such as walks, on a regular lattice by computer. The letter is easy to read and explains the relevant techniques and issue clearly. (...)

Referee B: The paper presents an interesting extension of the Grassberg-Rosenbluth method (PERM), which appears to me superior to the recently published extension of PERM by Bachmann and Janke. The presentation is very clear and also suitable for a broader readership. (...)


Referee's Report on

"Proof of a monotonicity conjecture"

This is a wonderfully succinct paper fully settling a conjecture that has been open for nine years and has been studied widely. The theorem is beautiful and the proof is exquisite.

I strongly recommend publication in the Journal of Combinatorial Theory, Series A.