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Gluing Affine Vortices
We provide an analytical construction of the gluing map for stable affine vortices over the upper half plane with the Lagrangian boundary condition....
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Fixed energy solutions to the Euler-Lagrange equations of an indefinite Lagrangian with affine Noether charge
We consider an autonomous, indefinite Lagrangian L admitting an infinitesimal symmetry K whose associated Noether charge is linear in each tangent...
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A new canonical affine bracket formulation of Hamiltonian classical field theories of first order
It has been a long standing question how to extend, in the finite-dimensional setting, the canonical Poisson bracket formulation from classical...
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Affine RSK Correspondence and Crystals of Level Zero Extremal Weight Modules
We give an affine analogue of the Robinson-Schensted-Knuth (RSK) correspondence, which generalizes the affine Robinson-Schensted correspondence by...
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Affine connection, quantum theory and new fields
In a few recent manuscripts, we used the affine connection to introduce two massless scalar fields in the Einstein-Palatini action. These fields lead...
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Gravity and Dark Matter in the Framework of Metric-Affine Geometry
In this paper, we generalize space-time manifold by considering metric-affine structure on space-time manifold. Metric-affine geometry is defined in...
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Fixed Point Theorem: variants, affine context and some consequences
In this work, we will present variants Fixed Point Theorem for the affine and classical contexts, as a consequence of general Brouwer’s Fixed Point...
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Intermediate dimensions under self-affine codings
Intermediate dimensions were recently introduced by Falconer et al. (Math Z 296:813–830, 2020) to interpolate between the Hausdorff and box-counting...
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Existence and computations of best affine strategies for multilevel reverse Stackelberg games
The multilevel reverse Stackelberg game is considered. In this game, the leader controls the outcome by announcing a strategy as a function of...
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Affine statistical bundle modeled on a Gaussian Orlicz–Sobolev space
The dually flat structure of statistical manifolds can be derived in a non-parametric way from a particular case of affine space defined on a...
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Uniform Fluxes in Affine Spaces
For an in an affine space devoid of a metric structure, the geometric flux theorem for uniform fluxes is proved on the basis of some natural...
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A Novel Strategy of Extending the Domain of Attraction of Affine Nonlinear Systems
In this paper, a novel strategy of extending the domain of attraction of an asymptotically stable, affine nonlinear system is proposed. This method...
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Cryptanalysis of a Cayley Hash Function Based on Affine Maps in one Variable over a Finite Field
The hash function proposed by Shpilrain and Sosnovski (Groups Complex Cryptol 8:155–161, 2016), based on affine maps in one variable over a finite...
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Nonconvex and Nonsmooth Approaches for Affine Chance-Constrained Stochastic Programs
Chance-constrained programs (CCPs) constitute a difficult class of stochastic programs due to its possible nondifferentiability and nonconvexity even...
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Trajectories of Affine Control Systems and Geodesics of a Spacetime with a Causal Killing Vector Field
We study the geodesic connectedness of a globally hyperbolic spacetime ( M , g ) admitting a complete smooth Cauchy hypersurface S and endowed with a...
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Short-time special affine Fourier transform for quaternion-valued functions
The special affine Fourier transform is a promising tool for analyzing transient signals with more degrees of freedom via a chirp-like basis. In this...
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Affine Pólya-Szegö inequality on Steiner rearrangement in any codimension
The affine Polya-Szego inequality on the Steiner rearrangement in any codimension is proved. We not only define k -Orlicz-Sobolev ball on Sobolev...