The Generalized Ramanujan Conjectures and Applications (Lecture 4) by Peter Sarnak
521 views · Published 28 March 2013 · 1:03:07 · Indexed 8 October 2026
Channel: International Centre for Theoretical Sciences · 2013 · Science & Technology
Lecture 4 : "Nodal lines of Maass Forms and Critical Percolation" Abstract : We describe some results concerning the number of connected components of nodal lines of high frequency Maass forms on the modular surface. Based on heuristics connecting these to an exactly solvable critical percolation model, Bogomolny and Schmit have conjectured, and numerics confirm, that this number follows an asymptotic law. While proving this appears to be very difficult, some approximations to it can be proved by developing number theoretic and analytic methods (Joint with A. Ghosh and A. Reznikov). Date: 24 May 2012
More from this channel
-
49:14
The Universe Unravelled - P. James Peebles
-
1:04:26
The Origin of Life - from geophysics to biology - Albert Libchaber
-
1:14:26
Applied String Theory (Lecture 2) Dam Thanh Son
-
1:02:19
The Quantum Phases of Matter (Lecture 3) by Subir Sachdev
-
59:53
What Modern Mathematical Physics should be - A point of view (Lecture 4) by Ludwig Dmitrievich
-
59:00
Ashoke Sen - Extremal Black Holes in String Theory ( 2 )
-
1:39:53
The Role of Theory in Science - David Gross
-
1:29:23
Applied Math Perspectives on Stochastic Climate Models ( 2 ) - Andrew J. Majda