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Statistics of Simple Curves
From Mirzakhani’s curve counting theorem we get that $$\displaystyle...
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Adapted Approximate Group Dilations
Given a probability measure \(\mu \) in...
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Integral points on algebraic subvarieties of period domains: from number fields to finitely generated fields
We show that for a variety which admits a quasi-finite period map, finiteness (resp. non-Zariski-density) of S -integral points implies finiteness...
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The Miraculous Enumeration of Bipartite Maps
Our goal in this chapter is to enumerate planar maps, quadrangulations say. The basic idea, which goes back to Tutte, is to find a recurrence...
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Conservative surface homeomorphisms with finitely many periodic points
The goal of the article is to characterize the conservative homeomorphisms of a closed orientable surface S of genus ≥ 2, that have finitely many...
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Vector fields which are biharmonic maps
In this paper, an explicit expression of the bitension field of a vector field considered as a map from a Riemannian manifold ( M , g ) to its tangent...
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Commuting Toeplitz Operators and Moment Maps on Cartan Domains of Type III
Let \(D^{III}_n\) and...
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Comparison of Homologies and Automatic Extensions of Invariant Distributions
Let G be a reductive Nash group, acting on a Nash manifold X . Let Z be a G -stable closed Nash submanifold of X and denote by U the complement of Z in X ...
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Partial Collapsing Degeneration of Floer Trajectories and Adiabatic Gluing
In the present paper, we study partial collapsing degeneration of Hamiltonian-perturbed Floer trajectories for an adiabatic ε -family and its reversal...
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Quantum traces and embeddings of stated skein algebras into quantum tori
The stated skein algebra of a punctured bordered surface (or equivalently, a marked surface) is a generalization of the well-known Kauffman bracket...
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Unbounded Regions of High-Order Voronoi Diagrams of Lines and Line Segments in Higher Dimensions
We study the behavior at infinity of the farthest and the higher-order Voronoi diagram of n line segments or lines in a d -dimensional Euclidean...
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Stable discontinuous mapped bases: the Gibbs–Runge-Avoiding Stable Polynomial Approximation (GRASPA) method
The mapped bases or Fake Nodes Approach (FNA), introduced in De Marchi et al. (J Comput Appl Math 364:112347, 2020c), allows to change the set of...
