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Analysis on Riemannian co-compact covers     co-compact covers  random       font style='font-size:12px;'> 2015/8/26
This is a survey on analysis on non-compact co-compact Riemannian covers and how it relates to random walks on finitely generated groups. The focus is on the long time behavior of the heat kernel an...
BAYESIAN NUMERICAL ANALYSIS     Bayesian, numerical analysis       font style='font-size:12px;'> 2015/7/14
BAYESIAN NUMERICAL ANALYSIS
Asymptotic Analysis of a Random Walk on a Hypercube with Many Dimensions
Analysis of Top To Random Shuffles     Analysis  random  upset       font style='font-size:12px;'> 2015/7/14
Analysis of Top To Random Shuffles.
ANALYSIS OF A BOSE-EINSTEIN MARKOV CHAIN     Convergence rate  markov chain stationarity  k  arcsine       font style='font-size:12px;'> 2015/7/8
This paper gives sharp rates of convergence to stationarity for a Markov chain generating Bose-Einstein configurations of n balls in k boxes. The analysis leads to curious identities for the arc...
This study considers the availability of room opportunities collected from a Japanese hotel booking site. We empirically analyze the daily number of room opportunities for four areas. To determine the...
Given a reference random variable, we study the solution of its Stein equation and obtain universal bounds on its first and second derivatives. We then extend the analysis of Nourdin and Peccati by bo...
Abstract: This paper studies diffusion processes constrained to the positive orthant, and investigates changes in the steady-state distribution of such diffusions under infinitesimal changes in the dr...
Methods of phylogenetic inference use more and more complex models to generate trees from data. However, even simple models and their implications are not fully understood.Here, we investigate the two...
We study the large deviations performance, i.e., the exponential decay rate of the error probability, of distributed detection algorithms over random networks.
Donald Burkholder's work in martingales and analysis      Donald Burkholder's work  martingales  analysis        font style='font-size:12px;'> 2011/2/24
The two mathematicians who have most advanced martingale theory in the last seventy years are Joseph Doob and Donald Burkholder. Martingales as a remarkably flexible tool are used throughout probabili...
In this paper we consider a generalization of analysis on p-adic numbers field to the m case of m-adic numbers ring. The basic statements, theorems and formulas of p-adic analysis can be used for the ...
The level crossing analysis of DAX and oil price time series are given. We determine the average frequency of positive-slope crossings, $\nu_{\alpha}^+$, where $T_{\alpha} =1/\nu_{\alpha}^+ $ is the a...
A technique is presented in order to evaluate the probability of failure in analytical form instead of approximation methods like FORM/SORM and no series expansion is involved in this expression. This...

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