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4 papers · 2 filters
Fluctuations of the log-gamma polymer free energy with general parameters and slopes
Guillaume Barraquand, Ivan Corwin, Evgeni Dimitrov
We prove that the free energy of the log-gamma polymer between lattice points and converges to the GUE Tracy-Widom distribution in the scaling, provided t…
Anomalous spreading in reducible multitype branching Brownian motion
Mohamed Ali Belloum, Bastien Mallein
We consider a two-type reducible branching Brownian motion, defined as a particle system on the real line in which particles of two types move according to independent Brownian mot…
Biased continuous-time random walks with Mittag-Leffler jumps
Thomas M. Michelitsch, Federico Polito, Alejandro P. Riascos
We construct admissible circulant Laplacian matrix functions as generators for strictly increasing random walks on the integer line. These Laplacian matrix functions refer to a cer…
Cluster explorations of the loop soup on a metric graph related to the Gaussian free field
Elie Aidekon
We consider the loop soup at intensity conditioned on having local time on a set of vertices with positive occupation field in their vicinities. We give a relation…