Brown algae is a diatom that thrives in low light situations with silicates and phosphates. Almost all water systems have phosphates, and they come from other organic sources as well so totally eliminating phosphates is difficult. Silicates can also come from tap water, but in new tanks they can leech from the glass as well. Luckily brown algae comes off easily...I use a toothbrush to scrub it out of smaller areas or off uneven surfaced rocks/decorations. It should eventually go away over time (can sometimes take over a year), but if it really starts to drive you crazy you can look into increasing the lighting, planting some fast growing plants (Anarachis, Hornwort/Foxtail) to suck up nutrients and out compete algae, and/or even look into finding a suitable algae eater for your tank. I wouldn't rush into buying an algae eating fish however...definitely do your research ahead of time, and understand that you will have to supplement their diet with vegetables eventually.