19,365 research outputs found

    Weak Hyperbolicity on Periodic Orbits for Polynomials

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    We prove that if the multipliers of the repelling periodic orbits of a complex polynomial grow at least like n5+ϵn^{5 + \epsilon}, for some ϵ>0\epsilon > 0, then the Julia set of the polynomial is locally connected when it is connected. As a consequence for a polynomial the presence of a Cremer cycle implies the presence of a sequence of repelling periodic orbits with "small" multipliers. Somehow surprinsingly the proof is based in measure theorical considerations.Comment: 6 pages, Late

    The experience of the New Hampshire Community Loan Fund in mainstreaming of acquisition loans to cooperative manufactured housing communities

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    This study aimed to provide evidence of the extent to which a financial product―land acquisition loans for manufactured home parks―performed well and was adopted by mainstream financial institutions. The study hypothesized that The New Hampshire Community Loan Fund’s effective introduction of the new loan product, coupled with excellent loan performance, led banks to adopt the loan product

    Holmium Laser Enucleation of the Prostate

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    Introduction: Holmium laser enucleation of the prostate (HoLEP) offers superior voiding outcomes to traditional transurethral resection and less morbidity than open simple prostatectomy. Likewise, HoLEP has been determined to result in excellent outcomes regardless of gland size. We present a step-by-step surgical approach to HoLEP describing both the traditional enucleation technique and a modified “top-down” surgical technique. Materials and Methods: In this video, two techniques are presented that were performed by two (A.E.K., J.E.L.) surgeons at our institution. Results: In the examples of the two enucleation techniques mentioned, outcomes are similar with regard to surgical and functional outcomes. Conclusions: HoLEP as a treatment for BPH with associated lower urinary tract symptoms (LUTS) results in excellent patient outcomes and can be offered to patients regardless of prostate volume
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