Unlike the Bernoulli shift, blocks of different lengths and different entries may have the same probability of occurrence in the representation of any continued ...
Jul 4, 2017 · The goal in this problem is to prove that ψ is a conjugacy between the Gauss map G:X→X and the shift σ:Σ→Σ. Im in trouble in the part when I ...
Apr 16, 2022 · We give a short proof that there exists a countable state Bernoulli measure maximizing the dimension of their images under the continued fraction expansion.
Missing: shift. | Show results with:shift.
In mathematics, the Gauss–Kuzmin–Wirsing operator is the transfer operator of the Gauss map that takes a positive number to the fractional part of its ...
Jul 30, 2024 · The Gauss map is a key player in ergodic theory and number theory. ... The Bernoulli shift is a fundamental concept in ergodic theory ...
In [4], Kifer, Peres and Weiss showed that the Bernoulli measures for the Gauss map T(x) = 1/x mod 1 satisfy a 'dimension gap' meaning that for some c > 0, ...
The Bernoulli map has been studied as a shift operator, in the context of functional analysis [24]. More recently, it has been studied in the physics community ...
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Is the differential of the Gauss map self adjoint?
In summary: Proposition 19.1. Let T denote the continued fraction map. Then T is ergodic with respect to Gauss' measure. 3.
The dyadic transformation (also known as the dyadic map, bit shift map, 2x mod 1 map, Bernoulli map, doubling map or sawtooth map)
Abstract. We study the mixing time of a random walk on the torus, alternated with a Lebesgue measure preserving Bernoulli map. Without the Bernoulli map,.