caa a22 4500 467893357 CHVBK 20180406152755.0 cr unu---uuuuu 170328e20061001xx s 000 0 eng 10.1007/s10955-006-9158-z doi (NATIONALLICENCE)springer-10.1007/s10955-006-9158-z Linear One-Step Processes with Artificial Boundaries [Elektronische Daten] [Sandro Azaele, Igor Volkov, Jayanth Banavar, Amos Maritan] An artificial absorbing boundary is introduced in a linear birth and death stochastic process in order to understand the long time behavior of an ecological community. The solution is obtained by means of a spectral resolution of the probability distribution. A more general linear process with a coefficient of arbitrary strength near the boundary both with absorbing and with reflecting boundary conditions is also studied. Springer Science + Business Media, Inc., 2006 One-step stochastic processes nationallicence spectral resolution nationallicence ecological community nationallicence artificial boundaries nationallicence neutral theory of biodiversity nationallicence Azaele Sandro Dipartimento di Fisica G. Galilei, Università di Padova, via Marzolo 8, 35131, Padova, Italy aut Volkov Igor Department of Physics, The Pennsylvania State University, 104 Davey Laboratory, 16802, University Park, Pennsylvania, USA aut Banavar Jayanth Department of Physics, The Pennsylvania State University, 104 Davey Laboratory, 16802, University Park, Pennsylvania, USA aut Maritan Amos Dipartimento di Fisica G. Galilei, Universită di Padova and INFM via Marzolo 8, 35131, Padova, Italy aut Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 125/2(2006-10-01), 491-511 0022-4715 125:2<491 2006 125 10955 https://doi.org/10.1007/s10955-006-9158-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-006-9158-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Azaele Sandro Dipartimento di Fisica G. Galilei, Università di Padova, via Marzolo 8, 35131, Padova, Italy aut NATIONALLICENCE 700 1- Volkov Igor Department of Physics, The Pennsylvania State University, 104 Davey Laboratory, 16802, University Park, Pennsylvania, USA aut NATIONALLICENCE 700 1- Banavar Jayanth Department of Physics, The Pennsylvania State University, 104 Davey Laboratory, 16802, University Park, Pennsylvania, USA aut NATIONALLICENCE 700 1- Maritan Amos Dipartimento di Fisica G. Galilei, Universită di Padova and INFM via Marzolo 8, 35131, Padova, Italy aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 125/2(2006-10-01), 491-511 0022-4715 125:2<491 2006 125 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer