578 research outputs found

    Optimal-order exit point bounds in exponential last-passage percolation via the coupling technique

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    We develop a new probabilistic method for deriving deviation estimates in directed planar polymer and percolation models. The key estimates are for exit points of geodesics as they cross transversal down-right boundaries. These bounds are of optimal cubic-exponential order. We derive them in the context of last-passage percolation with exponential weights with near-stationary boundary conditions. As a result, the probabilistic coupling method is empowered to treat a variety of problems optimally, which could previously be achieved only via inputs from integrable probability. As applications in the bulk setting, we obtain upper bounds of cubic-exponential order for transversal fluctuations of geodesics, and cube-root upper bounds with a logarithmic correction for distributional Busemann limits and competition interface limits. Several other applications are already in the literature.Comment: Accepted version. Two main corrections: Added to Prop. 3.6 a missing assumption that was used in its proof. (The z-parameter must be close to zeta). Also added a related assumption to Thm. 4.4(b) (previously Prop. C.1), which relies on Prop. 3.6. Some further minor corrections and edits. Slightly improved Thm. 3.4 and Prop. B.6. Significantly revised introduction. New reference

    KEYNOTE-859: a Phase III study of pembrolizumab plus chemotherapy in gastric/gastroesophageal junction adenocarcinoma

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    Adenocarcinoma; Gastroesophageal junction cancer; PembrolizumabAdenocarcinoma; Cáncer de la unión gastroesofágica; PembrolizumabAdenocarcinoma; Càncer de la unió gastroesofàgica; PembrolizumabCurrent guidelines recommend two-drug cytotoxic chemotherapy with a fluoropyrimidine (fluorouracil or capecitabine) and a platinum-based agent (oxaliplatin or cisplatin) as first-line treatment for advanced gastric cancer. Pembrolizumab monotherapy has demonstrated durable antitumor activity in patients with advanced programmed death ligand 1-positive (combined positive score ≥1) gastric/gastroesophageal junction adenocarcinoma. Accumulating evidence indicates that combining pembrolizumab with standard-of-care chemotherapy for the treatment of advanced or metastatic cancer improves clinical outcomes. We describe the rationale for and the design of the randomized, double-blind, placebo-controlled, Phase III KEYNOTE-859 study, which is investigating pembrolizumab in combination with chemotherapy as first-line treatment for patients with human epidermal growth factor receptor 2-negative advanced unresectable or metastatic gastric/gastroesophageal junction adenocarcinoma. The planned sample size is 1542 patients, and the primary end point is overall survival
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