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Part of the motivation of this paper comes from the recent paper [W. Guo and H.-Z. Zhou, SIAM J. Control Optim., 57 (2019), pp. 1890–1928], where an adaptive control approach was used to estimate in r...
In this paper, a group shift is an expansive action of Zd on a compact metrizable zero dimensional group by continuous automorphisms. All group shifts factor topologically onto equal-entropy Bernoulli...
TIME TO REACH STATIONARITY IN THE BERNOULLI-LAPLACE DIFFUSION MODEL.
For simple random walk on the integers, consider the chance that the walk has traveled distance k from its start gwen that its first return is at time 2n. We derive a limiting approximation accura...
EXCHANGEABLE PAIRS OF BERNOULLI RANDOM VARIABLES, KRAWTCHOUCK POLYNOMIALS, AND EHRENFEST URNS。
Abstract: We introduce a series of numbers which serve as a generalization of Bernoulli, Euler numbers and binomial coefficients. Their properties are applied to solve a probability problem and sugges...
Abstract: Suppose f is a $C^{1+\alpha}$ surface diffeomorphism, and m is an equilibrium measure of a Holder continuous potential. We show that if m has positive metric entropy, then f is measure theor...
Abstract: This paper proposes a simple method to evaluate batsmen and bowlers in cricket. The idea in this paper refines "book cricket" and evaluates a batsman by answering the question: How many runs...
Abstract: We give an elementary proof for Lewis Bowen's theorem saying that two Bernoulli actions of two free groups, each having arbitrary base probability spaces, are stably orbit equivalent. Our me...
Many applications in the eld of statistics require Markov chain Monte Carlo methods. Determining appropriate starting values and run lengths can be both analytically and empirically challenging.
In this work we give some recurrence relations of the new generalized Bernoulli polynomials and numbers. Furthermore a relation is given between 2D-Bernoulli polynomials and 2-variable Hermite Kamp&ac...
We study a batch arrival queue with a single server providing two- stages of heterogeneous service with each customer having the option to choose one of the two types of first stage service followed b...
In this work we consider topology optimization of systems, which are governed by the external Bernoulli free boundary problem. We utilize the so-called pseudo-solid approach to solve the governing f...
We introduce a Bernoulli operator,let "B" denote the operator symbol,for n=0,1,2,3,... let ${B^n}: = {B_n}$ (where ${B_n}$ are Bernoulli numbers,${B_0} = 1,B{}_1 = 1/2,{B_2} = 1/6,{B_3} = 0$...).We o...
Let $\nu_\lambda^p$ be the distribution of the random series $\sum_{n=1}^\infty i_n \lambda^n$, where $i_n$ is a sequence of i.i.d. random variables taking the values 0,1 with probabilities $p,1-p$. T...

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