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                        <title xml:lang="en">Absence of absolutely continuous spectrum for random scattering zippers</title>
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                            <persName>
                                <forename type="first">Laurent</forename>
                                <surname>Marin</surname>
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                            <email>lrnt.marin@gmail.com</email>
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                        <funder>GDR DYNQUA.</funder>
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                            <date type="whenWritten">2013-03-12</date>
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                        <note type="commentary">11 pages.</note>
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                                <title xml:lang="en">Absence of absolutely continuous spectrum for random scattering zippers</title>
                                <author role="aut">
                                    <persName>
                                        <forename type="first">Laurent</forename>
                                        <surname>Marin</surname>
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                                    <email>lrnt.marin@gmail.com</email>
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                                <term xml:lang="en">Lyapunov exponents </term>
                                <term xml:lang="en">random operators </term>
                                <term xml:lang="en">scattering zippers </term>
                                <term xml:lang="en">Kotani theory</term>
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                        <abstract xml:lang="en">A scattering zipper is a system obtained by concatenation of scattering events with equal even number of incoming and out going channels. The associated scattering zipper operator is the unitary equivalent of Jacobi matrices with matrix entries. For infinite identical events and random phases, Lyapunov exponents positivity is proved and yields to the absence of absolutely continuous spectrum.</abstract>
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