M. Berger

Publications57
h-index13
Citations834
Highly Influential Citations54
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Bounded semigroups of matrices
In this note are proved two conjectures of Daubechies and Lagarias. The first asserts that if Z is a bounded set of matrices such that all left infinite products converge, then 8 generates a bounded… Expand
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An Introduction to Probability and Stochastic Processes
TLDR
This textbook aims to provide students with a straightforward introduction to the mathematical theory of probability. Expand
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Structure and stability of constant-alpha force-free fields
The Woltjer-Taylor hypothesis suggests that constant-..cap alpha.. force-free fields may arise naturally as a result of magnetic helicity conservation during field relaxation. Thus, an analysis of… Expand
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Disjoint covering systems of rational beatty sequences
TLDR
We prove that for a disjoint covering system with rational moduli, the two largest numerators of the moduli are identical for at least three moduli. Expand
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Images Generated by Orbits of 2-D Markov Chains
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New results for covering systems of residue sets
We announce some new results about systems of residue sets. A residue set R C Z is an arithmetic progression R = {a,a±n,a± 2n,...}. The positive integer n is referred to as the modulus of R.… Expand
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Multidimensional two-scale dilation equations
Abstract . This work involves the study of multidimensional scaling functions. These functions satisfy a two-scale dilation equation, just as the 1-D scaling functions which are used to construct 1-D… Expand
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Modeling SOx trapping on a copper-doped CuO/SBA-15 sorbent material.
A mixture of SO2 and air was continuously injected in a fixed bed reactor containing a CuO/SBA-15 sorbent material and submitted to an isothermal temperature between 325 and 400 °C. The SO2 emissions… Expand
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An Extension of the Stochastic Integral
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Random walks generated by affine mappings
This article is concerned with Markov chains on ℝm constructed by randomly choosing an affine map at each stage, and then making the transition from the current point to its image under this map. The… Expand
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