Thursday, December 4, 2014

Time in the Schramm Loewner

 The top one is Brownian motion the bottom os the Schramm-Loewner generator. So the p(x,t) = B(t);

So what is t? Simply a global spectral limit, all motions in  the system  must complete  synchronous to the global ticker. Change the global tick to sample rate, or exchange rate.

Another point, are the SL solutions just the set of sphere packing motions?

Dimensionality,k, above determines a Weiner process with some dimensionality, meaning it supports a wider set of combinatorics, essentially.  Do only spheres meet the condition?  Brownian  has the Pi thing. Get a  new t, the band size of "quant of uncertainty", but that should be units of entropy. Band limit is the smallest quantized variance supported. Measure theory, sphere packing, and Shraam-Loewner gives us measure error, a Weiner function.




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