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- Université de SherbrookeCA2 papers
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7 papers
Snake Polyominoes of Maximal Area in a Rectangle
Alexandre Blondin Massé, Alain Goupil
Given a discrete rectangle R of dimensions h x w, let W be the set of snake-like polyominoes contained in R represented as binary matrices, i.e. polyominoes whose underlying simple…
Generation of Maximal Snake Polyominoes Using a Deep Neural Network
Benjamin Gauthier, Alain Goupil, Fadel Toure
Maximal snake polyominoes are difficult to study numerically in large rectangles, as computing them requires the complete enumeration of all snakes for a specific rectangle size, w…
Penrose P2 Tilings: A Study of Fully Leafed Induced Subtrees
Mathieu Cloutier, Alain Goupil, Alexandre Blondin Massé
We present new results about fully leafed induced subtrees in Penrose P2 tilings, also known as kites and darts tilings. We first determine the graph structure of these subtrees an…
Asymptotic properties of the multivariate Szász-Mirakyan estimator for cumulative distribution functions on the nonnegative orthant
Guanjie Lyu, Frédéric Ouimet, Cindy Feng
The asymptotic properties of multivariate Szász-Mirakyan estimators for cumulative distribution functions (cdf) supported on the nonnegative orthant are investigated. Explicit bia…
Dynamics of superconducting pairs in the two-dimensional Hubbard model
G. Sordi, E. M. O'Callaghan, C. Walsh +3
The frequency structure of the superconducting correlations in cuprates gives insights on the pairing mechanism. Here we present an exhaustive study of this problem in the two-dime…
The Frenkel line and the pseudogap: an analogy between classical and electronic fluids
J. Fournier, P. -O. Downey, O. Gingras +3
Asymptotically close to critical end-points of first-order transitions, maxima in thermodynamic quantities occur along a line called the Widom line, a concept first introduced in c…