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721
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722
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723
From duality to determinants for q-TASEP and ASEP
Published 2015“…For ASEP, the first type of formula is new and readily lends itself to asymptotic analysis (as necessary to reprove GUE Tracy–Widom distribution fluctuations for ASEP), while the second type of formula is recognizable as closely related to Tracy and Widom’s ASEP formula [Comm. …”
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724
On approximate graph colouring and max-k-cut algorithms based on the θ-function
Published 2013“…We also give a new asymptotic analysis of the Frieze-Jerrum rounding scheme, that provides a unifying proof of the main results of both Frieze and Jerrum (1997) and Karger et al. (1998) for k ≫ 0.…”
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Journal Article -
725
Security-Reliability Tradeoff Analysis for Multiuser FSO Communications Over a Generalized Channel
Published 2023-01-01“…In addition, an asymptotic analysis for the outage probability, interception probability, and SRT is performed to provide insight into the impact of user scheduling on the system performance. …”
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726
Eigenfunction Families and Solution Bounds for Multiplicatively Advanced Differential Equations
Published 2020-07-01“…The limit eigenfunctions (<inline-formula> <math display="inline"> <semantics> <mrow> <mi>q</mi> <mo>=</mo> <msup> <mn>1</mn> <mo>+</mo> </msup> </mrow> </semantics> </math> </inline-formula>) are not Schwartz, thus convergence is only uniform in <inline-formula> <math display="inline"> <semantics> <mrow> <mi>t</mi> <mo>∈</mo> <mi mathvariant="double-struck">R</mi> </mrow> </semantics> </math> </inline-formula> on compact sets. An asymptotic analysis is provided for MADEs which indicates how to extend solutions in a neighborhood of the origin <inline-formula> <math display="inline"> <semantics> <mrow> <mi>t</mi> <mo>=</mo> <mn>0</mn> </mrow> </semantics> </math> </inline-formula>. …”
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727
Physical Layer Security Performance of NOMA-Aided Vehicular Communications Over Nakagami-<inline-formula><tex-math notation="LaTeX">$m$</tex-math></inline-formula> Time-Selective F...
Published 2023-01-01“…We then analyze the asymptotic SOP limits of both legitimate vehicles under Scenarios I and II, by formulating cases based on the average transmit signal-to-noise ratio and average channel gains associated with the main links and wiretap link. From the asymptotic analysis under these cases, it is observed that both legitimate vehicles do not achieve any secrecy diversity order even after leveraging the benefits of fading severity parameters and multiple antennas. …”
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728
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729
Adaptive-combining-based hybrid FSO/RF satellite communication with and without HAPS
Published 2022“…In addition, the performance gain obtained by the proposed adaptive combining scheme over single-link FSO system for different channel conditions is also reported. Further, the asymptotic analysis is also carried out to obtain the diversity gain of the proposed system.…”
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Journal Article -
730
Performance and optimization of reconfigurable intelligent surface aided THz communications
Published 2022“…Moreover, we present asymptotic analysis to obtain more insights when the SNDR or the number of RIS's elements is high. …”
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Journal Article -
731
Transport and deposition problems in blood flow
Published 2022“…In both applications, we use asymptotic analysis to develop reduced models. This allows us to i) design and test parameter estimation schemes which can effectively calibrate the mathematical models using in vitro data and ii) determine optimal therapeutic parameters by exploring regimes not tested in vitro. …”
Thesis -
732
Cooperative Energy Harvesting Cognitive Radio Networks With Spectrum Sharing and Security Constraints
Published 2019-01-01“…By considering both the independent identically distributed and the independent but not necessarily identically distributed flat Rayleigh fading channels, closed-form expressions for the secrecy outage probability are derived, based on which an asymptotic analysis is carried out. Our results quantify the impact of the main key system parameters and point out the optimal values ensuring a high-security performance of such a communication system. …”
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733
Three-dimensional solitary waves in dispersive wave systems
Published 2008Get full text
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Thesis -
734
Modelling the impact of heterogeneity in tumour composition on the response to fractionated radiotherapy
Published 2018“…In particular, we use a combination of numerical simulation and asymptotic analysis to investigate the dynamics of each model and the impact of increasing spatial heterogeneity on tumour response to radiotherapy.…”
Thesis -
735
Characterization Of Fretting Fatigue of 7075-T6 Aluminium Alloy
Published 2006“…A theoretical model is developed using the asymptotic analysis to study the equivalence of stress state at the pad edge for the complete contact of dissimilar materials with Dundurs parameters a,p and at the root of the notch based on the order of stress singularity, (A-1). …”
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Thesis -
736
Cascaded <inline-formula> <tex-math notation="LaTeX">$\alpha-\mu$ </tex-math></inline-formula> Fading Channels: Reliability and Security Analysis
Published 2018-01-01“…In addition, an asymptotic analysis of all aforementioned metrics is carried out, in order to gain more insights of the effect of the key system parameters on the reliability and security. …”
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737
Asymptotic Capacity Allocation for an Out-of-Cell User in Non-Orthogonal Multiple Access With Coordinated Direct and Relay Transmission
Published 2020-01-01“…With the proposed power allocation, we derive exact or approximate expressions for the ergodic capacities, and provide the capacity scaling law with asymptotic analysis. The analysis proves that the capacity growth rate as well as the asymptotic capacity can be manipulated by a power allocation parameter. …”
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738
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739
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740
Parametric subharmonic instability of internal gravity wave beams
Published 2015Get full text
Thesis