%0 Journal Article %T Patterson–Sullivan currents, generic stretching factors and the asymmetric Lipschitz metric for outer space %+ Department of Mathematics [Urbana] %+ Institut de Mathématiques de Marseille (I2M) %A Kapovich, Ilya %A Lustig, Martin %Z The first author was supported by the Collaboration Grant no. 279836 (2013-1018) from the Simons Foundation and by the NSF grant DMS-1405146. Both authors acknowledge support from U.S. National Science Foundation grants DMS 1107452, 1107263, 1107367 “RNMS: GEometric structures And Representation varieties” (the GEAR Network). %Z Some minor updates and revisions; 18 pages, no figures. %< avec comité de lecture %@ 0030-8730 %J Pacific Journal of Mathematics %I Mathematical Sciences Publishers %V 277 %N 2 %P 371--398 %8 2015 %D 2015 %Z 1406.0434 %R 10.2140/pjm.2015.277.371 %K Culler–Vogtmann's outer space %K Patterson–Sullivan measures %K geodesic currents %Z 20F65; 57M07, 37B99, 37D40 %Z Mathematics [math]/Group Theory [math.GR] %Z Mathematics [math]/Geometric Topology [math.GT]Journal articles %X We quantitatively relate the Patterson-Sullivant currents and generic stretching factors for free group automorphisms to the asymmetric Lipschitz metric on Outer space and to Guirardel's intersection number. %G English %L hal-01318444 %U https://hal.science/hal-01318444 %~ CNRS %~ UNIV-AMU %~ EC-MARSEILLE %~ I2M %~ I2M-2014-