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A Brouwer fixed point theorem for graph endomorphisms
Graph theory graph endormorphisms Lefschetz number Euler characteristic Brouwer fixed point Dynamical zeta function
2012/6/21
We prove a Lefschetz formula for general simple graphs which equates the Lefschetz number L(T) of an endomorphism T with the sum of the degrees i(x) of simplices in G which are fixed by T. The degree ...
Existence of a Lorenz renormalization fixed point of an arbitrary critical order
Lorenz renormalization fixed point arbitrary critical order Dynamical Systems
2011/9/19
Abstract: We present a proof of the existence of a renormalization fixed point for Lorenz maps of the simplest non-unimodal combinatorial type ({0,1},{1,0,0}), and with a critical point of arbitrary o...