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math.GR2007
Almost solutions of equations in permutations
Lev Glebsky, Luis Manuel Rivera
We will say that the permutations f_1,...,f_n is an e-solution of an equation if the normalized Hamming distance between its l.h.p. and r.h.p. is less than e. We give a sufficient…
math.GR2007★ 3 cited
Sofic groups and profinite topology on free groups
Lev Glebsky, Luis Manuel Rivera Martinez
We give a definition of weakly sofic groups (w-sofic groups). Our definition is rather natural extension of the definition of sofic groups where instead of Hamming metric on symmet…
math.DS2007
Measures related to (e,n)-complexity functions
Valentin Afraimovich, Lev Glebsky
The (e,n)-complexity functions describe total instability of trajectories in dynamical systems. They reflect an ability of trajectories going through a Borel set to diverge on the…