Zobrazeno 1 - 10
of 8 591
pro vyhledávání: '"g-measures"'
Autor:
Dajani, Karma, Power, Kieran
We consider the random $\beta$-transformation $K_{\beta}$, defined on $\{0,1\}^{\mathbb N}\times[0, \frac{\lfloor\beta\rfloor}{\beta-1}]$, that generates all possible expansions of the form $x=\sum_{i=0}^{\infty}\frac{a_i}{\beta^i}$, where $a_i\in \{
Externí odkaz:
http://arxiv.org/abs/2104.11634
Autor:
Dajani, K.1 (AUTHOR) k.dajani1@uu.nl, Power, K.1,2 (AUTHOR)
Publikováno v:
Acta Mathematica Hungarica. Feb2022, Vol. 166 Issue 1, p70-91. 22p.
Autor:
Hulse, Paul
Proofs of results due to Johansson, \"Oberg and Pollicott are given which correct some aspects of the originals. This leads to modifications to the most general results; however, the main corollaries are unaffected.
Externí odkaz:
http://arxiv.org/abs/1912.03244
It is well-known that there always exists at least one stationary measure compatible with a continuous g-function g. Here we prove that if the set of discontinuities of the g-function g has null measure under a candidate measure obtained by some asym
Externí odkaz:
http://arxiv.org/abs/1907.02442
Publikováno v:
Real Analysis Exchange, 2018 Jan 01. 43(1), 223-233.
Externí odkaz:
https://www.jstor.org/stable/10.14321/realanalexch.43.1.0223
We introduce a distance in the space of fully-supported probability measures on one-dimensional symbolic spaces. We compare this distance to the $\bar{d}$-distance and we prove that in general they are not comparable. Our projective distance is inspi
Externí odkaz:
http://arxiv.org/abs/1503.00749
We weaken the assumption of summable variations in a paper by Verbitskiy \cite{verb} to a weaker condition, Berbee's condition, in order for a 1-block factor (a single site renormalisation) of the full shift space on finitely many symbols to have a $
Externí odkaz:
http://arxiv.org/abs/1611.04547
In this paper we introduce a notion of asymptotic stability of a probability kernel, which we call dynamic uniqueness. We say that a kernel exhibits dynamic uniqueness if all the stochastic chains starting from a fixed past coincide on the future tai
Externí odkaz:
http://arxiv.org/abs/1410.8241
Regular $g$-measures are discrete-time processes determined by conditional expectations with respect to the past. One-dimensional Gibbs measures, on the other hand, are fields determined by simultaneous conditioning on past and future. For the Markov
Externí odkaz:
http://arxiv.org/abs/1106.4188
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