KGTA seminar, 11. decembar 2018.

Naredni sastanak Seminara biće održan u utorak, 11. decembra 2018, u sali 844 Matematičkog fakulteta sa početkom u 14 časova.

Predavač: Erika Berenice Roldán Roa, CIMAT, Mexico

Naslov predavanja: ASYMPTOTIC BEHAVIOR OF THE HOMOLOGY OF RANDOM POLYOMINOES

Apstrakt: In this talk we study the rate of growth of the expectation of the number of holes (the rank of the first homology group) in a polyomino with uniform and percolation distributions. We prove the existence of linear bounds for the expected number of holes of a polyomino with respect to both the uniform and percolation distributions. Furthermore, we exhibit particular constants for the upper and lower bounds in the uniform distribution case. This results can be extend, using the same techniques, to other polyforms and higher dimensions.



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