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A Schmidt’s Subspace Theorem for Moving Hyperplane Targets Over Function Fields
The Schmidt subspace theorem has been studied extensively for both cases of fixed and moving targets in projective spaces over number fields and the...
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Schmidt’s Subspace Theorem for Moving Hypersurface Targets in Subgeneral Position in Projective Varieties
Our goal is to give Schmidt’s subspace theorem for moving hypersurface targets in subgeneral position in projective varieties.
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Second Main Theorem for Meromorphic Maps into Algebraic Varieties Intersecting Moving Hypersurfaces Targets
Since the great work on holomorphic curves into algebraic varieties intersecting hypersurfaces in general position established by Ru in 2009,...
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Quantitative subspace theorem and general form of second main theorem for higher degree polynomials
This paper deals with the quantitative Schmidt’s subspace theorem and the general from of the second main theorem, which are two correspondence...
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Difference analogues of the second main theorem for holomorphic curves and arbitrary families of hypersurfaces in projective varieties
Our goal in this paper is to establish some difference analogue of second main theorems for holomorphic curves into projective varieties intersecting...
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The Theorem of Completeness of the Characteristic Series: Enriques’ Contribution
In this paper I will recall the content of the so-called theorem of completeness of the characteristic series, whose algebro-geometric proof has been...
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Greatest common divisors for polynomials in almost units and applications to linear recurrence sequences
We bound the greatest common divisor of two coprime multivariable polynomials evaluated at algebraic numbers, generalizing work of Levin, and going...
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Holomorphic Curves into Algebraic Varieties Intersecting Moving Hypersurface Targets
In Ru (Ann. Math. 169 , 255–267
2009 ), Min Ru proved a second main theorem for algebraically nondegenerate holomorphic curves in complex projective... -
Quadrature by fundamental solutions: kernel-independent layer potential evaluation for large collections of simple objects
Well-conditioned boundary integral methods for the solution of elliptic boundary value problems (BVPs) are powerful tools for static and dynamic...
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A harmonic framework for stepsize selection in gradient methods
We study the use of inverse harmonic Rayleigh quotients with target for the stepsize selection in gradient methods for nonlinear unconstrained...
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Difference analogue of second main theorems for meromorphic map** into algebraic variety
In this paper, we prove some difference analogue of second main theorems of meromorphic map** from ℂ m into an algebraic variety V intersecting a...
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Solving the Soft Convergence Problem for Controlled Oscillatory Systems Based on the Time Dilation Principle
The authors consider a game problem of soft meeting of controlled oscillating systems, i.e., their simultaneous convergence in geometric coordinates...
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Non-linear Manifold Reduced-Order Models with Convolutional Autoencoders and Reduced Over-Collocation Method
Non-affine parametric dependencies, nonlinearities and advection-dominated regimes of the model of interest can result in a slow Kolmogorov n-width...
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Finding Weakly Simple Closed Quasigeodesics on Polyhedral Spheres
A closed quasigeodesic on a convex polyhedron is a closed curve that is locally straight outside of the vertices, where it forms an angle at most
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Old and new challenges in Hadamard spaces
Hadamard spaces have traditionally played important roles in geometry and geometric group theory. More recently, they have additionally turned out to...
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The work of G. A. Margulis
A.E. was supported by an Investigator grant from the Simons Foundation. D.F. was supported by NSF grant DMS-1906107 and DMS-2208430. D.K. was...
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Obstructions for automorphic quasiregular maps and Lattès-type uniformly quasiregular maps
Suppose that M is a closed, connected, and oriented Riemannian n -manifold, f : ℝ n → M is a quasiregular map automorphic under a discrete group Γ of...
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Value distribution of q-differences of meromorphic functions in several complex variables
In this paper, we study q -difference analogues of several central results in value distribution theory of several complex variables such as q -differen...
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Generating the Transition Matrix
Clearly, the only practical way to generate the transition matrix of any discrete event systems with more than a hundred states is by using a...
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The Gradient Descent Method for the Convexification to Solve Boundary Value Problems of Quasi-Linear PDEs and a Coefficient Inverse Problem
We study the global convergence of the gradient descent method of the minimization of strictly convex functionals on an open and bounded set of a...
