Stability Analysis of Transportation Networks with Multiscale Driver Decisions by Como, Giacomo, Savla, Ketan, Acemoglu, Daron, Dahleh, Munther A, Frazzoli, Emilio

“…The proposed analysis combines techniques from singular perturbation theory, evolutionary game theory, and cooperative dynamical systems. © 2013 Society for Industrial and Applied Mathematics.…”
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A lattice study of ππ scattering at large Nc by Baeza-Ballesteros, Jorge, Hernández, Pilar, Romero-López, Fernando

“…Using Lüscher’s formalism, we extract the near-threshold scattering amplitude and we match our results to Chiral Perturbation Theory (ChPT) at large Nc. For this, we compute the analytical U(Nf) ChPT prediction for two-pion scattering, and use the lattice results to constrain the Nc scaling of the relevant low-energy couplings.…”
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High-Order Regularized Regression in Electrical Impedance Tomography by Polydorides, Nick, Adhasi, Alireza, Miller, Eric L.

“…Our contribution introduces a new formulation for the forward model in the form of a nonlinear integral transform, which maps changes in the electrical properties of a domain to their respective variations in boundary data. Using perturbation theory the transform is approximated to yield a high-order misfit function which is then used to derive a regularized inverse problem. …”
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Stochastic Analysis of Retroactivity in Transcriptional Networks through Singular Perturbation by Ghaemi, Reza, Del Vecchio, Domitilla

“…In particular, we describe the system through the Master equation and develop a singular perturbation theory to obtain a reduced Master equation. …”
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Accurate Test of Chiral Dynamics in the [→ over y]p→π[superscript 0]p Reaction by Bernstein, Aron M.

“…These data allowed for a precise determination of the energy dependence of the real parts of the S- and all three P-wave amplitudes for the first time and provide the most stringent test to date of the predictions of chiral perturbation theory and its energy region of agreement with experiment.…”
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A low temperature expansion for matrix quantum mechanics by Lin, Ying-Hsuan, Shao, Shu-Heng, Wang, Yifan, Yin, Xi

“…We analyze solutions to loop-truncated Schwinger-Dyson equations in massless N = 2 and N = 4 Wess-Zumino matrix quantum mechanics at finite temperature, where conventional perturbation theory breaks down due to IR divergences. We find a rather intricate low temperature expansion that involves fractional power scaling in the temperature, based on a consistent “soft collinear” approximation. …”
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Entanglement distribution between two separate systems via a third system by Krisnanda, I Wayan Gede Tanjung

“…In pure states, we computed entanglement as a function of time with perturbation theory. We observed an artefact that entanglement gain is possible with separable C. …”
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Mathematical modelling of wave impact on landward-inclined and seaward-inclined seawalls by Mohd Shahridwan, Ramli

“…The solution to this problem is found by solving Laplace’s Equation for specific boundary condition. The perturbation theory is applied into these models and the problems are solved by using MATLAB. …”
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Comparison of three dimensional quasi-linear large swirl theory with measured outflow from a high-work compressor rotor by Chen, Lee-Tzong, McCune, James E. (James Elliot)

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A stochastic multiscale model for electricity generation capacity expansion by Parpas, Panos, Webster, Mort

“…We present an efficient method for coupling multiple temporal scales using the framework of singular perturbation theory for the control of Markov processes in continuous time. …”
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A subleading power operator basis for the scalar quark current by Chang, Cyuan-Han, Stewart, Iain W, Vita, Gherardo

“…These results can be exploited to study power corrections in both resummed and fixed order perturbation theory, and for analyzing the factorization properties of gauge theory amplitudes and cross sections at subleading power.…”
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Exciting black hole modes via misaligned coalescences. II. The mode content of late-time coalescence waveforms by Lim, Halston, Khanna, Gaurav, Apte, Anuj, Hughes, Scott A

“…Using inspiral and plunge trajectories we construct with a generalized Ori-Thorne algorithm, we use a time-domain black hole perturbation theory code to compute the corresponding gravitational waves. …”
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Gravitational form factors of hadrons from lattice QCD by Pefkou, Dimitra Anastasia

“…From these results, we obtain the renormalization scheme- and scale-independent total GFFs of the pion, which are in agreement with the momentum fraction sum rule and the nex-to-leading order chiral perturbation theory prediction for its 𝐷-term, which is a fundamental hadron charge related to the internal forces.…”
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An analytic solution for magnetization distribution in multigrain ferromagnetic materials in an applied magnetic field by Sunter, Kristen A. (Kristen Ann), 1982-

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Effective action approach to quantum phase transitions in bosonic lattices by Bradlyn, Barry J

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Gravitational waves from merging compact binaries by Hughes, Scott A

“…We review these developments, examining merging binaries using black hole perturbation theory, post-Newtonian expansions, and direct numerical integration of the field equations. …”
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Role of Disorder and Anharmonicity in the Thermal Conductivity of Silicon-Germanium Alloys: A First-Principles Study by Garg, Jivtesh, Bonini, Nicola, Marzari, Nicola, Kozinsky, Boris, 1978-

“…The thermal conductivity of disordered silicon-germanium alloys is computed from density-functional perturbation theory and with relaxation times that include both harmonic and anharmonic scattering terms. …”
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Microscopic model versus systematic low-energy effective field theory for a doped quantum ferromagnet by Gerber, U., Hofmann, C. P., Kampfer, Florian, Wiese, U. J.

“…In particular, for weakly bound two-hole states the effective field theory even works beyond perturbation theory. This lends strong support to the quantitative success of the systematic low-energy effective field theory method not only in the ferromagnetic but also in the physically most interesting antiferromagnetic case.…”
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Interaction of charged particles with localized electrostatic waves in a magnetized plasma by Ram, Abhay K., Kominis, Yannis, Hizanidis, Kyriakos

“…Charged particle interaction with localized wave packets in a magnetic field is formulated using the canonical perturbation theory and the Lie transform theory. An electrostatic wave packet characterized by a wide range of group and phase velocities as well as spatial extent along and across the magnetic field is considered. …”
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Compressibility of an ultracold Fermi gas with repulsive interactions by Choi, Jae-Hoon, Christensen, Caleb A., Heo, Myoung-Sun, Ketterle, Wolfgang, Lee, Ye-Ryoung, Rvachov, Timur Michael, Wang, Tout T.

“…For smaller interaction parameters, the results are adequately described by first-order perturbation theory. We have developed a phase-contrast imaging method that compensates for dispersive distortions of the images.…”
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