Whenever you ride Trans-Siberian railway and the train moves slightly south to curve the Baikal, it stops and the passengers pitched by the fish-sellers always get out to buy some smoked Omul then you have arrived in Slyudyanka station. When fish is bought and carriage is oozing with the smell, give a look to the station building. White plates are the same as the gravel under the rails. It's marble. The name Slyudyanka stands for another mineral found here - the mica.
Except the train, you can take marshrutka #543 from Irkutsk railway station. There are elektrichkas on working days and more on weekends but you should check the timetable.
Omul, the local delicacy, is a salmonid fish endemic to Lake Baikal. It is usually salt-cured whole, and exudes a strong and not exactly fresh smell.