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We study the Tracy-Widom distribution function for Dyson's $β$-ensemble with $β= 6$. The starting point of our analysis is the recent work of I. Rumanov where he produces a Lax-pair representation f...

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In this paper we compute some of the higher order terms in the large-t asymptotic expansion of the Airy process two-point function, extending the previous work of Adler and van Moerbeke and Widom. We ...

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Primal-Dual Interior-Point methods are capable of solving constrained convex optimization problems to tight tolerances in a fast and robust manner. The derivatives of the primal-dual solution with res...

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Leveraging rich information is crucial for dense prediction tasks. Light field (LF) cameras are instrumental in this regard, as they allow data to be sampled from various perspectives. This capability...

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We establish the relation between two objects: an integrable system related to Painlevé II equation, and the symplectic invariants of a certain plane curve S(TW). This curve describes the average eig...

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In this study I present new K and L$'$-band infrared photometry and 2-4$μ$m spectra of ten Class I and flat spectrum stars forming within the Taurus dark cloud complex. Nine sources have H$_2$ {\it v...

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Given $p$-dimensional Gaussian vectors $X_i \stackrel{iid}{\sim} N(0, Σ)$, $1 \leq i \leq n$, where $p \geq n$, we are interested in testing a null hypothesis where $Σ= I_p$ against an alternative h...

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We present 2.0-2.4micron integral field spectroscopy at adaptive optics spatial resolution (~0.''1) obtained with the Near-infrared Integral Field Spectrograph (NIFS) at Gemini North Observatory of si...

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In this paper, we describe non invertible matrix in GF(2)which can be used as multiplication matrix in Hill Cipher technique for one way hash algorithm. The matrices proposed are permutation matrices ...

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In this paper we present an ongoing research investigating the possibility and potential of integrating frame semantics, particularly FrameNet, in the Grammatical Framework (GF) application grammar de...