Random Gap Processes and Asymptotically Complete Sequences

  title={Random Gap Processes and Asymptotically Complete Sequences},
  author={Erin R. Crossen Brown and Sevak Mkrtchyan and Jonathan Pakianathan},
  journal={Journal of Theoretical Probability},
  pages={801 - 818}
We study a process of generating random positive integer weight sequences {Wn}\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\{ W_n \}$$\end{document} where the gaps between the weights {Xn=Wn-Wn-1}\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb… 

Threshold complexes and connections to number theory

In this paper we study quota complexes (or equivalently in the case of scalar weights, threshold complexes) and how the topology of these quota complexes changes as the quota is changed. This problem

The ternary Goldbach conjecture is true

The ternary Goldbach conjecture, or three-primes problem, asserts that every odd integer $n$ greater than $5$ is the sum of three primes. The present paper proves this conjecture. Both the ternary

Probability: Theory and Examples

This book is an introduction to probability theory covering laws of large numbers, central limit theorems, random walks, martingales, Markov chains, ergodic theorems, and Brownian motion. It is a

Additive combinatorics

  • T. TaoV. Vu
  • Mathematics
    Cambridge studies in advanced mathematics
  • 2007
The circle method is introduced, which is a nice application of Fourier analytic techniques to additive problems and its other applications: Vinogradov without GRH, partitions, Waring’s problem.

Mathematical Gems II

Eventually, you will very discover a new experience and endowment by spending more cash. yet when? accomplish you take that you require to get those all needs next having significantly cash? Why

Note on Complete Sequences of Integers

Partitions into distinct small primes

NY 14627 E-mail address: ecrossen@ur.rochester

    Dokl Akad

    • Nauk SSSR 15, 291–294
    • 1937

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