caa a22 4500 467891834 CHVBK 20180406152751.0 cr unu---uuuuu 170328e20060601xx s 000 0 eng 10.1007/s10955-006-9139-2 doi (NATIONALLICENCE)springer-10.1007/s10955-006-9139-2 Escape of a Uniform Random Walk from an Interval [Elektronische Daten] [T. Antal, S. Redner] We study the first-passage properties of a random walk in the unit interval in which the length of a single step is uniformly distributed over the finite range [−a,a]. For a of the order of one, the exit probabilities to each edge of the interval and the exit time from the interval exhibit anomalous properties stemming from the change in the minimum number of steps to escape the interval as a function of the starting point. As a decreases, first-passage properties approach those of continuum diffusion, but non-diffusive effects remain because of residual discreteness effects. Springer Science + Business Media, Inc., 2006 First-passage nationallicence random walk nationallicence uniform steps nationallicence diffusion approximation nationallicence radiation boundary condition nationallicence Antal T. Center of Polymer Studies and Department of Physics, Boston University, 02215, Boston, MA, USA aut Redner S. Center of Polymer Studies and Department of Physics, Boston University, 02215, Boston, MA, USA aut Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 123/6(2006-06-01), 1129-1144 0022-4715 123:6<1129 2006 123 10955 https://doi.org/10.1007/s10955-006-9139-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-006-9139-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Antal T. Center of Polymer Studies and Department of Physics, Boston University, 02215, Boston, MA, USA aut NATIONALLICENCE 700 1- Redner S. Center of Polymer Studies and Department of Physics, Boston University, 02215, Boston, MA, USA aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 123/6(2006-06-01), 1129-1144 0022-4715 123:6<1129 2006 123 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer