Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Date and Time: Tuesday, November 27, 2007, 12:15 pm

Duration: This information is not available in the database

Location: OAT S15/S16/S17

Speaker: Divesh Aggarwal

The Angel of Power 2 wins

The Angel and devil play their game on an infinite chessboard. On his turn, the Devil may eat any square of the board whatsoever; this square is then no longer available to the Angel. The Angel of power p may move to any square at distance at most p from its present position. The Devil wins if he can catch (surround) the Angel. The Angel wins if he can continue to move forever. It was known that the devil can defeat an angel of power 1. The case for p greater than 1 was open for a long time. But recently four independent proofs have appeared, each of them showing that the Angel is able to win. In this talk one of them will be presented.

Paper by András Máthé, The Angel of power 2 wins, to appear in Combinatorics, Probability and Computing.

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