Zobrazeno 1 - 10
of 34 851
pro vyhledávání: '"McLAREN, A."'
We study a class of integrable nonhomogeneous Lotka-Volterra systems whose quadratic terms are defined by an antisymmetric matrix and whose linear terms consist of three blocks. We provide the Poisson algebra of their Darboux polynomials, and prove a
Externí odkaz:
http://arxiv.org/abs/2408.14720
Introduced in 2012, by Zhang, Zhao, and Nijhoff, the trilinear Boussinesq equation is the natural form of the equation for the $\tau$-function of the lattice Boussinesq system. In this paper we study various aspects of this equation: its highly nontr
Externí odkaz:
http://arxiv.org/abs/2407.11175
Autor:
McLaren, Eric, Salampasis, Dimitrios, Busulwa, Richard, Baldegger, Rico Johannes, Wild, Pascal
Publikováno v:
Sustainability Accounting, Management and Policy Journal, 2024, Vol. 15, Issue 6, pp. 1310-1337.
Externí odkaz:
http://www.emeraldinsight.com/doi/10.1108/SAMPJ-08-2023-0598
To any tree on $n$ vertices we associate an $n$-dimensional Lotka-Volterra system with $3n-2$ parameters and, for generic values of the parameters, prove it is superintegrable, i.e. it admits $n-1$ functionally independent integrals. We also show how
Externí odkaz:
http://arxiv.org/abs/2311.15169
Autor:
Matthew C. Gaines, Michail N. Isupov, Mathew McLaren, Clara L. Mollat, Risat Ul Haque, Jake K. Stephenson, Shamphavi Sivabalasarma, Cyril Hanus, Daniel Kattnig, Vicki A. M. Gold, Sonja Albers, Bertram Daum
Publikováno v:
Nature Communications, Vol 15, Iss 1, Pp 1-16 (2024)
Abstract Archaea produce various protein filaments with specialised functions. While some archaea produce only one type of filament, the archaeal model species Sulfolobus acidocaldarius generates four. These include rotary swimming propellers analogo
Externí odkaz:
https://doaj.org/article/2afeece54e8f4902afcc3300a9f7b21a
Publikováno v:
Journal of Computational Dynamics, 2024
We show that any Lotka--Volterra tree-system associated with an $n$-vertex tree, as introduced in Quispel et al., J. Phys. A 56 (2023) 315201, preserves a rational measure. We also prove that the Kahan discretisation of these tree-systems factorises
Externí odkaz:
http://arxiv.org/abs/2309.05979
Publikováno v:
Open Communications in Nonlinear Mathematical Physics, Special Issue in Memory of Decio Levi (March 1, 2024) ocnmp:12249
We show how to construct in an elementary way the invariant of the KHK discretisation of a cubic Hamiltonian system in two dimensions. That is, we show that this invariant is expressible as the product of the ratios of affine polynomials defining the
Externí odkaz:
http://arxiv.org/abs/2309.00799
Autor:
Vantrease, Dana, Schreiber, Robert, Monchiero, Matteo, McLaren, Moray, Jouppi, Norman P., Fiorentin, Marco, Davis, Al, Binkert, Nathan, Beausoleil, Raymond G., Ahn, Jung Ho
We expect that many-core microprocessors will push performance per chip from the 10 gigaflop to the 10 teraflop range in the coming decade. To support this increased performance, memory and inter-core bandwidths will also have to scale by orders of m
Externí odkaz:
http://arxiv.org/abs/2307.06294
Hadamard diagonalizable graphs are undirected graphs for which the corresponding Laplacian is diagonalizable by a Hadamard matrix. Such graphs have been studied in the context of quantum state transfer. Recently, the concept of a weak Hadamard matrix
Externí odkaz:
http://arxiv.org/abs/2307.01859
While open-ended self-explanations have been shown to promote robust learning in multiple studies, they pose significant challenges to automated grading and feedback in technology-enhanced learning, due to the unconstrained nature of the students' in
Externí odkaz:
http://arxiv.org/abs/2306.16639