Percolation theory examines the emergence of connected clusters in systems composed of randomly occupied sites or bonds, making it an invaluable framework for understanding phase transitions in ...

This is a preview. Log in through your library . Abstract For a general class of percolation models with long-range correlations on ℤd, d ≥ 2, introduced in [J. Math. Phys. 55 (2014) 083307], we ...

With Hugo Duminil-Copin, thinking rarely happens without moving. His insights into the flow-related properties of complex networks have earned him the Fields Medal. The math department at the ...

Breakthroughs, discoveries, and DIY tips sent every weekday. Terms of Service and Privacy Policy. What’s a 11-letter concept shared by crossword puzzles and ...

Alexander Hartmann, a physicist at the University of Oldenburg, in Germany, has introduced a new model to explain a common word puzzle phenomenon. In his paper published in the journal Physical Review ...

Sankhyā: The Indian Journal of Statistics, Series A (1961-2002), Vol. 61, No. 3 (Oct., 1999), pp. 337-346 (10 pages) For the Poisson Boolean model of continuum percolation we prove the Van den ...