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Pluriclosed Flow and Hermitian-Symplectic Structures
We observe that pluriclosed flow preserves Hermitian-symplectic structures. And we extend pluriclosed flow to a flow of Hermitian-symplectic forms by...
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Feature Engineering with Regularity Structures
We investigate the use of models from the theory of regularity structures as features in machine learning tasks. A model is a polynomial function of...
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Model structures on finite total orders
We initiate the study of model structures on (categories induced by) lattice posets, a subject we dub homotopical combinatorics . In the case of a...
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Fabricating Porous Structures using Robotic Hotwire Cutting
With an increasing interest in fabricating complex structures in architectural design, the concept of porosity has become a vital topic, opening up...
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On a Problem of Conrad on Riesz Space Structures
This paper is concerned with Riesz space structures on a lattice ordered abelian group, continuing a line of research conducted by the author and the...
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Vacuum Structures Revisited
We consider the relationship between the higher symmetry and the dynamical decomposition in supersymmetric gauge theory in various dimensions by... -
Aggregation Tree Construction Using Hierarchical Structures
In the problem under consideration it is necessary to find a schedule of conflict-free data aggregation of a minimum length, i.e. to determine the... -
Minimal Triangular Structures on Abelian Extensions
We study minimal triangular structures on abelian extensions. In particular, we construct a family of minimal triangular semisimple Hopf algebras and...
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Generalized Sasakian structures from a Poisson geometry viewpoint
In this paper we define a canonical Poisson structure on a normal generalized contact metric space and use this structure to define a generalized...
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p-Kähler and balanced structures on nilmanifolds with nilpotent complex structures
Let ( X , J ) be a nilmanifold with an invariant nilpotent complex structure. We study the existence of p -Kähler structures (which include Kähler and...
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Testing high-dimensional covariance structures using double-normalized observations
In this paper, we focus on the test for high-dimensional covariance structures using double-normalized observations for an elliptical population. By...
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Normal Crossings Singularities for Symplectic Topology: Structures
Our previous papers introduce topological notions of normal crossings symplectic divisor and variety, show that they are equivalent, in a suitable...
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Reconnection of Infinitely Thin Antiparallel Vortices and Coherent Structures
One of the characteristic features of turbulent flows is the emergence of many vortices which interact, deform, and intersect, generating a chaotic...
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Exact SDP relaxations for quadratic programs with bipartite graph structures
For nonconvex quadratically constrained quadratic programs (QCQPs), we first show that, under certain feasibility conditions, the standard...
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Harmonic almost complex structures on almost abelian Lie groups and solvmanifolds
An almost abelian Lie group is a solvable Lie group with a codimension one normal abelian subgroup. We characterize almost Hermitian structures on...
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Discontinuity Structures and Solitary Waves in Electromagnetic Hydrodynamics Associated with Linear and Nonlinear Alfvén Wave Resonances
AbstractNondissipative and weakly dissipative discontinuity structures are considered. A special numerical method for studying periodic waves is...
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Passivity Techniques and Hamiltonian Structures in Discrete Time
The object of this paper is to show the impact of representing discrete-time dynamics as two coupled difference/differential equations in... -
Gluing compactly generated t-structures over stalks of affine schemes
We show that compactly generated t-structures in the derived category of a commutative ring R are in a bijection with certain families of compactly...
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Parametric Interlocking Elastic Wooden Plate Joint for Complex Structures
Interlocking wooden joints are a material driven traditional structural method that is used in complex wooden structures. Nowadays they are...