70 citations · 472 across the 34 of their papers we have counts for
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Multidimensional Random Polymers : A Renewal Approach
Dmitry Ioffe
In these lecture notes, which are based on the mini-course given at 2013 Prague School on Mathematical Statistical Physics, we discuss ballistic phase of quenched and annealed stre…
A quantitative Burton-Keane estimate under strong FKG condition
Hugo Duminil-Copin, Dmitry Ioffe, Yvan Velenik
We consider translationally-invariant percolation models on satisfying the finite energy and the FKG properties. We provide explicit upper bounds on the probability…
Interaction versus entropic repulsion for low temperature Ising polymers
Dmitry Ioffe, Senya Shlosman, Fabio Lucio Toninelli
Contours associated to many interesting low-temperature statistical mechanics models (2D Ising model, (2+1)D SOS interface model, etc) can be described as self-interacting and self…
An invariance principle to Ferrari-Spohn diffusions
Dmitry Ioffe, Senya Shlosman, Yvan Velenik
We prove an invariance principle for a class of tilted (1+1)-dimensional SOS models or, equivalently, for a class of tilted random walk bridges in Z_+. The limiting objects are sta…