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Catégorie

Combinatoire

Publications associées (8)

Computation of Al-Salam Carlitz and Askey-Wilson moments using Motzkin paths

Gaspard Ohlmann

In this paper we study the moments of polynomials from the Askey scheme, and we focus on Askey-Wilson polynomials. More precisely, we give a combinatorial proof for the case where d = 0. Their values have already been computed by Kim and Stanton in 2015, h ...

ELECTRONIC JOURNAL OF COMBINATORICS2021

Systemic Risk in Networks with a Central Node

Damir Filipovic, Léo Hamed Amini

We examine the effects on a financial network of clearing all contracts though a central node (CN), thereby transforming the original network into a star-shaped one. The CN is capitalized with external equity and a guaranty fund. We introduce a structural ...

SIAM PUBLICATIONS2020

Haldane Gap of the Three-Box Symmetric SU(3) Chain

Frédéric Mila, Pierre Marcel Nataf, Samuel Gozel

Motivated by the recent generalization of the Haldane conjecture to SU(3) chains [Lajko et al., Nucl. Phys. B924, 508 (2017)] according to which a Haldane gap should be present for symmetric representations if the number of boxes in the Young diagram is a ...

2020

Self-conjugate representation SU(3) chains

Frédéric Mila, Miklos Lajko, Francisco Hyunkyu Kim

It was recently argued that SU(3) chains in the p-box symmetric irreducible representation (irrep) exhibit a "Haldane gap" when p is a multiple of 3 and are otherwise gapless [Nucl. Phys. B 924, 508 (2017)]. We extend this argument to the self-conjugate ir ...

2019

Bin Packing via Discrepancy of Permutations

Friedrich Eisenbrand, Thomas Rothvoss, Doemoetoer Palvoelgyi

A well-studied special case of bin packing is the 3-partition problem, where n items of size > 1/4 have to be packed in a minimum number of bins of capacity one. The famous Karmarkar-Karp algorithm transforms a fractional solution of a suitable LP relaxati ...

Association for Computing Machinery2013

Automatic online delineation of a multi-lead electrocardiogram bio signal

Pierre Vandergheynst, David Atienza Alonso, Francisco Javier Rincon Vallejos, Nadia Khaled, Hossein Mamaghanian

Method for automatic online delineation of an electrocardiogram (ECG) bio signal, said method comprising the detection of said bio signal through several leads followed by the combination of those multiple acquisitions into a single root-mean-squared (RMS) ...

2012

A silicon model of the inner hair cell

Yusuf Leblebici

In this paper we present an electrical model of the inner hair cell based on an improved mathematical model. The model is implemented in silicon in the current domain using translinear circuits. It improves on previous models by taking into consideration t ...

2011

Combinatorial necklace splitting

Doemoetoer Palvoelgyi

We give a new, combinatorial proof for the necklace splitting problem for two thieves using only Tucker's lemma (a combinatorial version of the Borsuk-Ulam theorem). We show how this method can be applied to obtain a related recent result of Simonyi and ev ...

American Mathematical Society2009

Publications associées (8)