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Scaling of Metabolic Scaling within Physical Limits
Systems, 2014 Both the slope and elevation of scaling relationships between log metabolic rate and log body size vary taxonomically and in relation to physiological or developmental state, ecological lifestyle and environmental conditions.
Douglas S Glazier, Glazier Douglas S
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Scaling Limits of Random Graphs from Subcritical Classes: Extended abstract [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 We study the uniform random graph $\mathsf{C}_n$ with $n$ vertices drawn from a subcritical class of connected graphs. Our main result is that the rescaled graph $\mathsf{C}_n / \sqrt{n}$ converges to the Brownian Continuum Random Tree $\mathcal{T}_ ...
Konstantinos Panagiotou +2 more
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The continuous limit of large random planar maps [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 We discuss scaling limits of random planar maps chosen uniformly over the set of all $2p$-angulations with $n$ faces. This leads to a limiting space called the Brownian map, which is viewed as a random compact metric space.
Jean-François Le Gall
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Scaling Limits of a Tandem Queue with Two Infinite Orbits
Mathematics, 2023 This paper considers a tandem queueing network with a Poisson arrival process of incoming calls, two servers, and two infinite orbits by the method of asymptotic analysis.
Anatoly Nazarov +3 more
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IEEE Journal of the Electron Devices Society, 2020 We identify an optimum channel length for planar Laterally Diffused Metal-Oxide-Semiconductor (LDMOS) field-effect transistors, in terms of the specific on-resistance, through systematic device simulation and optimization.
Ali Saadat +3 more
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Non-relativistic and ultra-relativistic scaling limits of multimetric gravity
Journal of High Energy Physics, 2022 We present a method of contraction that can be applied to re-construct the recent extended non-relativistic and ultra-relativistic algebras as well as corresponding action principles.
Ertuğrul Ekiz +4 more
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Fractional Equations for the Scaling Limits of Lévy Walks with Position-Dependent Jump Distributions
Mathematics, 2023 Lévy walks represent important modeling tools for a variety of real-life processes. Their natural scaling limits are known to be described by the so-called material fractional derivatives.
Vassili N. Kolokoltsov
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Double Inozemtsev limits of the quantum DELL system
Physics Letters B, 2022 In this letter we study various Inozemtsev-type limits of the quantum double elliptic (DELL) system when both elliptic parameters are sent to zero at different rates, while the coupling constant is sent to infinity, such that a certain combination of the
Alexander Gorsky +3 more
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On random trees and forests [PDF]
ESAIM: Proceedings and Surveys, 2023 The first talk at the session Random trees and random forests “Journée MAS” (27/08/2021) was presented by I. Kortchemski. After a general up-to-date introduction to local and scaling limits of Bienaymé trees (which are discrete branching trees), he ...
Contat Alice +4 more
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Nuclear Physics B, 2022 Using the saddle point method, we give an explicit form of the planar free energy and Wilson loops of unitary matrix models in the one-cut regime. The multi-critical unitary matrix models are shown to undergo third-order phase transitions at two points ...
Takeshi Oota
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