Search Results - Applications of operator theory in statistical physics

Lectures on Generalized Global Symmetries: Principles and Applications by Iqbal, Nabil

“… It is designed to be accessible to readers with a basic understanding of quantum field theory. The topics include an introduction to higher-form symmetries and their applications in various contexts…”
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Genetic algorithms: theory, genetic operators, solutions, and applications by Alhijawi, Bushra, Awajan, Arafat

“… GA is one of the most popular optimization algorithms that is currently employed in a wide range of real applications…”
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The conformal bootstrap at finite temperature by Iliesiu, Luca, Koloğlu, Murat, Mahajan, Raghu, Perlmutter, Eric, Simmons-Duffin, David

“…A bstract We initiate an approach to constraining conformal field theory (CFT) data at finite temperature using methods inspired by the conformal bootstrap for vacuum correlation functions…”
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Effective Hamiltonians and Lagrangians for Conditioned Markov Processes at Large Volume by Chabane, Lydia, Lazarescu, Alexandre, Verley, Gatien

“…When analysing statistical systems or stochastic processes, it is often interesting to ask how they behave given that some observable takes some prescribed value…”
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Statistical Irreversible Thermodynamics in the Framework of Zubarev’s Nonequilibrium Statistical Operator Method by Luzzi, R., Vasconcellos, A. R., Ramos, J. G., Rodrigues, C. G.

“… on Zubarev’s nonequilibrium statistical operator (NSO) method, which is a powerful and universal tool for investigating the most varied physical phenomena…”
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Disorder Operators and Their Descendants by Fradkin, Eduardo

“… This concept has had applications and implications to many areas of physics ranging from quantum spin chains to gauge theories to topological phases of matter…”
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Entropy and the quantum II : Arizona School of Analysis with Applications, March 15-19, 2010, University of Arizona by Arizona School of Analysis with Applications, Sims, Robert, Ueltschi, Daniel

“…The goal of the Entropy and the Quantum schools has been to introduce young researchers to some of the exciting current topics in mathematical physics…”
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Prediction and validation of aeroelastic limit cycle oscillations using harmonic balance methods and Koopman operator: Prediction and validation of aeroelastic limit cycle by McGurk, Michael, Yuan, Jie

“…Nonlinearities in aerospace systems often induce self-sustaining oscillations known as Limit Cycle Oscillations (LCO), requiring costly analyses for…”
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Decolonisation of fractional calculus rules: Breaking commutativity and associativity to capture more natural phenomena by Atangana, Abdon, Gómez-Aguilar, J. F.

“… between the power law, exponential decay, Mittag-Leffler law and their possible applications in nature…”
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Koopman operator based identification of nonlinear networks: Koopman operator based identification of nonlinear networks by Anantharaman, Ramachandran, Mauroy, Alexandre

“…In this work, we develop a method to identify continuous-time nonlinear networked dynamics via the Koopman operator framework…”
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Viscoelastic modeling of magnetic losses in a nanocrystalline core using fractional derivative operators: Viscoelastic modeling of magnetic losses by Ducharne, Benjamin, Gao, Shengze, Gao, Yanhui, Zhao, Xiaojun

“… over wide frequency ranges and amplitudes. This study evaluates the use of fractional derivative operators as innovative tools to model magnetic losses in nanocrystalline ferromagnetic cores…”
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Fourier kernel-based data driven approximation of the Koopman operator by Liang, Peipei, Feng, Jinqian, Su, Jin, Guo, Qin, Han, Youpan

“…Koopman theory provides an approach to lift nonlinear dynamical systems into a linear measurement function space governed by the Koopman operator…”
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Analytical study of the time-fractional Smoluchowski coagulation equation in light of different integrodifferential operators: Analytical study of the time-fractional Smoluchowski coagulation equation in light by Bona, Zuhir M., Madkour, M. A., Mahmoud, Abeer A., Tawfik, Ashraf M.

“… Furthermore, we analyze the time-fractional coagulation equation using the homotopy perturbation transform approach, considering three different fractional operators…”
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A Time Operator and the Time-Of-Arrival Problem in Quantum Field Theory by Colosi, Daniele, Oeckl, Robert

“…The Newton-Wigner states and operator are widely accepted to provide an adequate notion of spatial localization of a particle in quantum field theory on a spacelike hypersurface…”
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Electrical Conductivity of Charged Particle Systems and Zubarev’s Nonequilibrium Statistical Operator Method by Röpke, G.

“…One of the fundamental problems in physics that are not yet rigorously solved is the statistical mechanics of nonequilibrium processes…”
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Prescribed-Time Adaptive Parameter Estimation for Uncertain Linear Systems via Modified Volterra Operator by Shi, Shang, Min, Huifang, Hu, YinLong

“… Primarily, a new modified Volterra operator is proposed by incorporating a delayed term into the standard Volterra operator…”
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Operator-theoretic framework for forecasting nonlinear time series with kernel analog techniques by Alexander, Romeo, Giannakis, Dimitrios

“… This paper synthesizes descriptions of kernel methods and Koopman operator theory in order to provide a single consistent account of KAF…”
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Deterministic modeling of dysentery diarrhea epidemic under fractional Caputo differential operator via real statistical analysis by Berhe, Hailay Weldegiorgis, Qureshi, Sania, Shaikh, Asif Ali

“…•Basic reproduction number and its sensitivity analysis is discussed.•Real statistical data for the dysentery diarrhea epidemic model is used…”
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Projected coupled cluster theory by Qiu, Yiheng, Henderson, Thomas M, Zhao, Jinmo, Scuseria, Gustavo E

“… On the other hand, projected Hartree-Fock theory captures the essential physics of many kinds of strong correlations via symmetry breaking and restoration…”
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High-Dimensional Operator Learning for Molecular Density Functional Theory by Yang, Jinni, Pan, Runtong, Sun, Jikai, Wu, Jianzhong

“… Whereas the statistical-mechanical framework is theoretically rigorous, its applications are often constrained by challenges in formulating a reliable free-energy functional and the complexity…”
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