All mobs excessively jump on top of carpet
UPDATE: Has been fixed for carpet, but now they jump on soul sand!
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Confirmed on Samsung Galaxy Note 3. Android 4.4.2.

Confirmed for 0.10.4 on iPhone 6 plus. Tested in creative with all mobs. Also found this issue to occur atop fences and walls.

Fixed in build 8:
-Mobs don't jump on Soul Sand anymore

This was fixed in build 8
All mobs count a carpet (or any half block) as a full block, when they jump, they are trying to jump up a block, but fail as the mob is still generally in the block when it lands, thus creating excessive jumping.