Results 21 to 30 of about 849,021 (309)
The Fuglede conjecture for convex domains is true in all dimensions [PDF]
Acta Mathematica, 2019 A set $\Omega \subset \mathbb{R}^d$ is said to be spectral if the space $L^2(\Omega)$ has an orthogonal basis of exponential functions. A conjecture due to Fuglede (1974) stated that $\Omega$ is a spectral set if and only if it can tile the space by ...
Nir Lev, M. Matolcsi
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Analytical and Computational Problems Related to Fractional Gaussian Noise
Fractal and Fractional, 2022 We study the projection of an element of fractional Gaussian noise onto its neighbouring elements. We prove some analytic results for the coefficients of this projection. In particular, we obtain recurrence relations for them.
Yuliya Mishura +2 more
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Density of Arithmetic Representations of Function Fields [PDF]
Épijournal de Géométrie Algébrique, 2022 We propose a conjecture on the density of arithmetic points in the deformation space of representations of the \'etale fundamental group in positive characteristic. This?
Hélène Esnault, Moritz Kerz
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A Proof of Onsager's Conjecture [PDF]
, 2016 For any $\alpha 1/3$ due to [Eyink] and [Constantin, E, Titi], solves Onsager's conjecture that the exponent $\alpha = 1/3$ marks the threshold for conservation of energy for weak solutions in the class $L_t^\infty C_x^\alpha$.
Philip Isett
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Tensionless strings and the weak gravity conjecture [PDF]
Journal of High Energy Physics, 2018 A bstractWe test various conjectures about quantum gravity for six-dimensional string compactifications in the framework of F-theory. Starting with a gauge theory coupled to gravity, we analyze the limit in Kähler moduli space where the gauge coupling ...
Seung-Joo Lee, W. Lerche, T. Weigand
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A Model for Teaching Mathematical Argument at the Elementary Grades
Journal of Educational Research in Mathematics, 2020 Over years of collaborating with elementary-school teachers to research students' thinking about the "big ideas" of K-6 mathematics, particular attention was given to generalizations about the operations-addition, subtraction, multiplication, and ...
Deborah Schifter, Susan Jo Russell
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Vagueness, Identity, and the Dangers of a General Metaphysics in Archaeology
Open Philosophy, 2021 Archaeology is currently bound to a series of metaphysical principles, one of which claims that reality is composed of a series of discrete objects. These discrete objects are fundamental metaphysical entities in archaeological science and posthumanist ...
Ribeiro Artur
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Repulsive forces and the weak gravity conjecture [PDF]
Journal of High Energy Physics, 2019 The Weak Gravity Conjecture is a nontrivial conjecture about quantum gravity that makes sharp, falsifiable predictions which can be checked in a broad range of string theory examples. However, in the presence of massless scalar fields (moduli), there are
B. Heidenreich, M. Reece, Tom Rudelius
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Auslander‐reiten conjecture for gorenstein rings of krull dimension at least 2 [PDF]
ریاضی و جامعه, 2022 Auslander‐Reiten Conjecture is one of the most important and long‐standing conjectures in representation theory of finite dimensional algebras. It is known to be in close relationship with a string of homological conjectures on top of which lies the well‐
Hossein Eshraghi
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The weak gravity conjecture and scalar fields [PDF]
, 2017 A bstractWe propose a generalisation of the Weak Gravity Conjecture in the presence of scalar fields. The proposal is guided by properties of extremal black holes in N=2$$ \mathcal{N}=2 $$ supergravity, but can be understood more generally in terms of ...
Eran Palti
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