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Hillclimbing saddle point inflation [PDF]
Physics Letters B, 2018 Recently a new inflationary scenario was proposed in [1] which can be applicable to an inflaton having multiple vacua. In this letter, we consider a more general situation where the inflaton potential has a (UV) saddle point around the Planck scale. This
Kiyoharu Kawana, Katsuta Sakai
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Dirac cone, flat band and saddle point in kagome magnet YMn6Sn6. [PDF]
Nat Commun, 2021 Kagome-lattices of 3d-transition metals hosting Weyl/Dirac fermions and topological flat bands exhibit non-trivial topological characters and novel quantum phases, such as the anomalous Hall effect and fractional quantum Hall effect.
Li M +11 more
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3D Flow of Hybrid Nanomaterial through a Circular Cylinder: Saddle and Nodal Point Aspects
Mathematics, 2022 This mathematical model explains the behavior of sinusoidal radius activity in stagnation point three-dimensional flow of hybrid nanoparticles through a circular cylinder.
Javali K. Madhukesh +5 more
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Saddle point localization of molecular wavefunctions. [PDF]
Sci Rep, 2016 AbstractThe quantum mechanical description of isomerization is based on bound eigenstates of the molecular potential energy surface. For the near-minimum regions there is a textbook-based relationship between the potential and eigenenergies. Here we show how the saddle point region that connects the two minima is encoded in the eigenstates of the model
Mellau GCh +4 more
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On the Recursive Saddle Point Method [PDF]
SSRN Electronic Journal, 2004 In this paper a simple dynamic optimization problem is solved with the help of the recursive saddle point method developed by Marcet and Marimon (1999). According to Marcet and Marimon, their technique should yield a full characterization of the set of solutions for this problem.
Matthias Messner, Nicola Pavoni
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Hamiltonian systems in a neighborhood of a saddle point [PDF]
Transactions of the American Mathematical Society, 1978 The behavior of Hamiltonian differential systems associated with a concave convex function H in a Hilbert space is studied by variational methods. It is shown that under quite general conditions on the function H the system behaves in a neighborhood of a minimax saddle point of H much like as in the classical theory of ordinary differential systems ...
Viorel Barbu
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Stochastic Saddle Point Problems with Decision-Dependent Distributions [PDF]
SIAM Journal on Optimization, 2022 This paper focuses on stochastic saddle point problems with decision-dependent distributions. These are problems whose objective is the expected value of a stochastic payoff function and whose data distribution drifts in response to decision variables--a
Killian Wood, E. Dall’Anese
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Consensus-Based Optimization for Saddle Point Problems [PDF]
SIAM Journal of Control and Optimization, 2022 In this paper, we propose consensus-based optimization for saddle point problems (CBO-SP), a novel multi-particle metaheuristic derivative-free optimization method capable of provably finding global Nash equilibria.
Hui Huang, Jinniao Qiu, Konstantin Riedl
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Saddle point approximation to Higher order [PDF]
Vojnotehnički Glasnik, 2022 Introduction/purpose: Saddle point approximation has been considered in the paper Methods: The saddle point method is used in several different fields of mathematics and physics.
Nicola Fabiano, Nikola Mirkov
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Kaczmarz method for saddle point systems [PDF]
E3S Web of Conferences, 2021 The Kaczmarz method is presented for solving saddle point systems. The convergence is analyzed. Numerical examples, compared with classical Krylov subspace methods, SOR-like method (2001) and recent modified SOR-like method (2014), show that the Kaczmarz
Wang Jinmei, Yin Lizi, Wang Ke
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