Dynamic generation of 2d landscape, what to read?

Question

Algorithms

Good afternoon. Interested in the dynamic generation of two-dimensional maps like Terraria, Starbound, etc. (landscape, mountains, bodies of water, caves, distribution of materials/ores, various biomes, etc.).
If something can be found by simple generation, then nothing could be found by dynamic generation.
Dynamic - it means that initially only a small section of the map is available, and as you move to the sides, the map is "finished". In particular, the algorithms for generating the same map are interesting, regardless of which side they approached the site from.
Also of particular interest is the moment of "looping" of such a map.

Answer 1

habrahabr.ru/post/128368 (And remember: all the power is in the comments to the article)
Do you write Minecraft? :)

Answer 2

In minecraft, for example, Perlin noises are used adapted to the three-dimensional space. In your case, the "original" Perlin noise algorithm will do.