%0 Journal Article %T ENTROPY AND COMPLEXITY OF POLYGONAL BILLIARDS WITH SPY MIRRORS %+ Faculty of Mathematics, National Research University Higher School of Economics %+ Institut de Mathématiques de Marseille (I2M) %A Skripchenko, Alexandra %A Troubetzkoy, Serge %Z Dynasty foundation %< avec comité de lecture %@ 0951-7715 %J Nonlinearity %I IOP Publishing %V 28 %N 9 %P 14 %8 2015-08-24 %D 2015 %Z 1501.04584 %Z Mathematics [math]/Dynamical Systems [math.DS]Journal articles %X We prove that a polygonal billiard with one-sided mirrors has zero topological entropy. In certain cases we show sub exponential and for other polynomial estimates on the complexity. %G English %2 https://hal.science/hal-01105008v2/document %2 https://hal.science/hal-01105008v2/file/Entropy.hal.v2.pdf %L hal-01105008 %U https://hal.science/hal-01105008 %~ CNRS %~ UNIV-AMU %~ EC-MARSEILLE %~ I2M %~ I2M-2014- %~ TDS-MACS %~ ANR