Weak Mixing of a Transformation Similar to Pascal
نویسنده
چکیده
We construct a class of transformations similar to the Pascal transformation, except for the use of spacers, and show that these transformations are weakly mixing.
منابع مشابه
Weak mixing of maps with bounded cutting parameter
In the class of Ornstein transformations the mixing property satisfies a 0-1 law. Here we consider Ornstein’s construction with bounded cutting parameter. In fact, these latter transformations are not mixing, however it is proved that the weak mixing property occurs with probability one. Our situation is similar to the case of interval exchange transformations whose link with the cutting and st...
متن کاملJoint ergodicity along generalized linear functions
A criterion of joint ergodicity of several sequences of transformations of a probability measure space X of the form T φi(n) i is given for the case where Ti are commuting measure preserving transformations of X and φi are integer valued generalized linear functions, that is, the functions formed from conventional linear functions by an iterated use of addition, multiplication by constants, and...
متن کاملWeak Mixing for Interval Exchange Transformations and Translation Flows
We show that a typical interval exchange transformation is either weakly mixing or it is an irrational rotation. We also conclude that a typical translation flow on a surface of genus g ≥ 2 (with prescribed singularity types) is weakly mixing.
متن کاملOn Ergodic Type Theorems for Strictly Weak Mixing C∗-dynamical Systems
It is known (see [16]) that there are several notions of mixing (i.e. weak mixing, mixing, completely mixing e.c.t.) of measure preserving transformation on a measure space in the ergodic theory. It is important to know how these notions are related with each other. A lot of papers are devoted to this topic. In [1] a rather thorough study of the mentioned concepts of mixing for Markov operators...
متن کاملEffects of Weak Layer Angle and Thickness on the Stability of Rock Slopes
This paper researches two key factors (angle and thickness) of a weak layer in relation to their influencing mechanism on slope stability. It puts forward the sliding surface angle and morphological model criteria for the control of rock slopes and realization of its failure mechanism. By comparing the Failure Modes and Safety Factors (Fs) obtained from numerical analysis, the influence pattern...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2006