Random walks and percolation theory form a fundamental confluence in modern statistical physics and probability theory. Random walks describe the seemingly erratic movement of particles or entities, ...
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 ...
The Annals of Applied Probability, Vol. 3, No. 1 (Feb., 1993), pp. 56-80 (25 pages) Consider first-passage percolation on Zd. A classical result says, roughly speaking, that the shortest travel time ...
It was an absolute delight to read about percolation theory in “The Math of Making Connections,” by Kelsey Houston-Edwards. Please feature more articles by this author and about mathematics as applied ...
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 ...
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 ...
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Ramanujan’s pi insights echo through modern physics
Researchers at the Indian Institute of Science in Bengaluru have shown that the same mathematical structures embedded in Ramanujan’s work also appear in turbulence, percolation processes and ...
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