Now showing items 1-20 of 29

• #### Demailly’s Notion of Algebraic Hyperbolicity: Geometricity, Boundedness, Moduli of Maps (Revised Edition) ﻿

[OWP-2018-20.2] (Mathematisches Forschungsinstitut Oberwolfach, 2020-01-23)
Demailly's conjecture, which is a consequence of the Green-Griffths-Lang conjecture on varieties of general type, states that an algebraically hyperbolic complex projective variety is Kobayashi hyperbolic. Our aim is to ...
• #### The Tutte Polynomial of Ideal Arrangements ﻿

[OWP-2018-28] (Mathematisches Forschungsinstitut Oberwolfach, 2018-12-21)
The Tutte polynomial is originally a bivariate polynomial enumerating the colorings of a graph and of its dual graph. But it reveals more of the internal structure of the graph like its number of forests, of spanning ...
• #### Spectral Continuity for Aperiodic Quantum Systems II. Periodic Approximations in 1D ﻿

[OWP-2018-27] (Mathematisches Forschungsinstitut Oberwolfach, 2018-12-17)
The existence and construction of periodic approximations with convergent spectra is crucial in solid state physics for the spectral study of corresponding Schrödinger operators. In a forthcoming work [9] this task was ...
• #### Sur le Minimum de la Fonction de Brjuno ﻿

[OWP-2018-26] (Mathematisches Forschungsinstitut Oberwolfach, 2018-12-11)
The Brjuno function attains a strict global minimum at the golden section.
• #### Criteria for Algebraicity of Analytic Functions ﻿

[OWP-2018-25] (Mathematisches Forschungsinstitut Oberwolfach, 2018-11-12)
We consider functions defined on an open subset of a nonsingular, either real or complex, algebraic set. We give criteria for an analytic function to be a Nash (resp. regular, resp. polynomial) function. Our criteria depend ...
• #### Global Variants of Hartogs' Theorem ﻿

[OWP-2018-24] (Mathematisches Forschungsinstitut Oberwolfach, 2018-11-06)
Hartogs' theorem asserts that a separately holomorphic function, defined on an open subset of $\mathbb{C}^n$, is holomorphic in all the variables. We prove a global variant of this theorem for functions defined on an open ...
• #### Real Analyticity is Concentrated in Dimension 2 ﻿

[OWP-2018-23] (Mathematisches Forschungsinstitut Oberwolfach, 2018-11-05)
We prove that a real-valued function on a real analytic manifold is analytic whenever all its restrictions to $2$-dimensional analytic submanifolds are analytic functions. We also obtain analogous results in the framework ...
• #### Computing Congruence Quotients of Zariski Dense Subgroups ﻿

[OWP-2018-22] (Mathematisches Forschungsinstitut Oberwolfach, 2018-10-26)
• #### The Magic Square of Reflections and Rotations ﻿

[OWP-2018-13] (Mathematisches Forschungsinstitut Oberwolfach, 2018-07-01)
We show how Coxeter’s work implies a bijection between complex reflection groups of rank two and real reflection groups in 0(3). We also consider this magic square of reflections and rotations in the framework of Clifford ...
• #### MOSES: A Streaming Algorithm for Linear Dimensionality Reduction ﻿

[OWP-2018-12] (Mathematisches Forschungsinstitut Oberwolfach, 2018-06-26)
This paper introduces Memory-limited Online Subspace Estimation Scheme (MOSES) for both estimating the principal components of data and reducing its dimension. More specifically, consider a scenario where the data vectors ...
• #### A Deformed Quon Algebra ﻿

[OWP-2018-11] (Mathematisches Forschungsinstitut Oberwolfach, 2018-06-25)
The quon algebra is an approach to particle statistics in order to provide a theory in which the Pauli exclusion principle and Bose statistics are violated by a small amount. The quons are particles whose annihilation and ...
• #### A Well-Posedness Result for Viscous Compressible Fluids with Only Bounded Density ﻿

[OWP-2018-10] (Mathematisches Forschungsinstitut Oberwolfach, 2018-05-28)
We are concerned with the existence and uniqueness of solutions with only bounded density for the barotropic compressible Navier-Stokes equations. Assuming that the initial velocity has slightly sub-critical regularity and ...