Kazhdan projections, random walks and ergodic theorems

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Random Walks with Random Projections

Random projections have been widely used for dimensionality reduction of high dimensional problems. In this paper we show how to compute some popular random walk based proximity measures (hitting and commute times, personalized pagerank) using random projections in undirected graphs. A number of important graph-based real world applications such as image segmentation, collaborative filtering in...

متن کامل

Largest Projections for Random Walks

We show that the largest subsurface projection distance between a marking and its image under the nth step of a random walk grows logarithmically in n, with probability approaching 1 as n → ∞. Our setup is general and also applies to (relatively) hyperbolic groups and to Out(Fn).

متن کامل

On Kazhdan Constants and Mixing of Random Walks

Let G be a group with Kazhdan’s property (T), and let S be a transitive generating set (there exists a group H ⊂ Aut(G) which acts transitively on S.) In this paper we relate two definitions of the Kazhdan constant and the eigenvalue gap in this case. Applications to various random walks on groups, and the product replacement random algorithm, are also presented.

متن کامل

Random Ergodic Theorems with Universally Representative

When elements of a measure-preserving action of R d or Z d are selected in a random way, according to a stationary stochastic process, a.e. convergence of the averages of an L p function along the resulting orbits may almost surely hold, in every system; in such a case we call the sampling scheme universally representative. We show that i.i.d. integer-valued sampling schemes are universally rep...

متن کامل

Ergodic Theorems over Sparse Random Subsequences

We prove an L subsequence ergodic theorem for sequences chosen by independent random selector variables, thereby showing the existence of universally L-good sequences nearly as sparse as the set of squares. We extend this theorem to a more general setting of measure-preserving group actions. In addition, we use the same technique to prove an L almost everywhere convergence result for a modulate...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal für die reine und angewandte Mathematik (Crelles Journal)

سال: 2019

ISSN: 0075-4102,1435-5345

DOI: 10.1515/crelle-2017-0002