caa a22 4500 445392088 CHVBK 20180317143050.0 cr unu---uuuuu 170323e20110301xx s 000 0 eng 10.1007/s10955-011-0151-9 doi (NATIONALLICENCE)springer-10.1007/s10955-011-0151-9 Condensation in the Inclusion Process and Related Models [Elektronische Daten] [Stefan Grosskinsky, Frank Redig, Kiamars Vafayi] We study condensation in several particle systems related to the inclusion process. For an asymmetric one-dimensional version with closed boundary conditions and drift to the right, we show that all but a finite number of particles condense on the right-most site. This is extended to a general result for independent random variables with different tails, where condensation occurs for the index (site) with the heaviest tail, generalizing also previous results for zero-range processes. For inclusion processes with homogeneous stationary measures we establish condensation in the limit of vanishing diffusion strength in the dynamics, and give several details about how the limit is approached for finite and infinite systems. Finally, we consider a continuous model dual to the inclusion process, the so-called Brownian energy process, and prove similar condensation results. The Author(s), 2011 Inclusion process nationallicence Condensation nationallicence Brownian energy process nationallicence Zero-range process nationallicence Grosskinsky Stefan Mathematics Institute, University of Warwick, CV4 7AL, Coventry, UK aut Redig Frank IMAPP, Radboud University Nijmegen, Heyendaalse weg 135, 6525 AJ, Nijmegen, The Netherlands aut Vafayi Kiamars Mathematisch Instituut, Universiteit Leiden, Niels Bohrweg 1, 2333 CA, Leiden, The Netherlands aut Journal of Statistical Physics Springer US; http://www.springer-ny.com 142/5(2011-03-01), 952-974 0022-4715 142:5<952 2011 142 10955 https://doi.org/10.1007/s10955-011-0151-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-011-0151-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Grosskinsky Stefan Mathematics Institute, University of Warwick, CV4 7AL, Coventry, UK aut NATIONALLICENCE 700 1- Redig Frank IMAPP, Radboud University Nijmegen, Heyendaalse weg 135, 6525 AJ, Nijmegen, The Netherlands aut NATIONALLICENCE 700 1- Vafayi Kiamars Mathematisch Instituut, Universiteit Leiden, Niels Bohrweg 1, 2333 CA, Leiden, The Netherlands aut NATIONALLICENCE 773 0- Journal of Statistical Physics Springer US; http://www.springer-ny.com 142/5(2011-03-01), 952-974 0022-4715 142:5<952 2011 142 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer