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May 18, 2018 at 18:53 vote accept Dominik Kwietniak
May 17, 2018 at 15:32 comment added Anthony Quas A low-brow heuristic way of thinking about this (compared to Vaughn's comprehensive answer below) is to say think about a block of length $N$. Your constraint ensures there are roughly $\alpha N$ 1's in the block. You are then interested in maximizing entropy. This can be achieved by putting the uniform distribution on all configurations with $\alpha N$ 1's.
May 17, 2018 at 15:23 answer added Vaughn Climenhaga timeline score: 6
May 17, 2018 at 14:44 history asked Dominik Kwietniak CC BY-SA 4.0