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Perturbative Diagonalization and Spectral Gaps of Quasiperiodic Operators on ℓ 2 ( Z d ) with Monotone Potentials. [PDF]
Commun Math PhysKachkovskiy I +2 more
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A novel Complex q-rung orthopair fuzzy Yager aggregation operators and their applications in environmental engineering. [PDF]
HeliyonAhmmad J +3 more
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Microscopic mechanism of anyon superconductivity emerging from fractional Chern insulators.
NewtonPichler F +3 more
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Two central limit theorems in Diophantine approximation
Illinois Journal of Mathematics, 2023We prove central limit theorems for Diophantine approximations with congruence conditions and for inhomogeneous Diophantine approximations following the approach of Bj\"{o}rklund and Gorodnik.
Gaurav Aggarwal, Anish Ghosh
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Independence Inheritance and Diophantine Approximation for Systems of Linear Forms
International mathematics research notices, 2021The classical Khintchine–Groshev theorem is a generalization of Khintchine’s theorem on simultaneous Diophantine approximation, from approximation of points in ${\mathbb {R}}^m$ to approximation of systems of linear forms in ${\mathbb {R}}^{nm}$.
D. Allen, F. Ramírez
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Simultaneous p-adic Diophantine approximation
Mathematical Proceedings of the Cambridge Philosophical Society, 2021The aim of this paper is to develop the theory of weighted Diophantine approximation of rational numbers to p-adic numbers. Firstly, we establish complete analogues of Khintchine’s theorem, the Duffin–Schaeffer theorem and the Jarník–Besicovitch theorem ...
V. Beresnevich +2 more
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Diophantine approximation as Cosmic Censor for Kerr–AdS black holes
Inventiones Mathematicae, 2020The purpose of this paper is to show an unexpected connection between Diophantine approximation and the behavior of waves on black hole interiors with negative cosmological constant ...
Christoph Kehle
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Mass transference principle from rectangles to rectangles in Diophantine approximation
Mathematische Annalen, 2019The limsup sets defined by balls or defined by rectangles appear at the most fundamental level in Diophantine approximation: one follows from Dirichlet’s theorem, the other follows from Minkowski’s theorem.
Bao-Wei Wang, Jun Wu
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