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arxiv: 1710.01090 · v1 · pith:EZEZY4B5new · submitted 2017-10-03 · 🧮 math.PR

Persistence probability of random weyl polynomial

classification 🧮 math.PR
keywords axispersistencerandomweylcasesconfirmationdemboexponents
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In this paper, using the method proposed by Dembo and Mukherjee [5], we obtain the persistence exponents of random Weyl polynomials in both cases: half nonnegative axis and the whole real axis. Our result is a confirmation to the predictions of Schehr and Majumdar [22].

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