Now showing items 18-27 of 27

• #### Pointwise hyperbolicity implies uniform hyperbolicity ﻿

[OWP-2009-06] (Mathematisches Forschungsinstitut Oberwolfach, 2009-02-23)
We provide a general mechanism for obtaining uniform information from pointwise data. A sample result is that if a diffeomorphism of a compact Riemannian manifold has pointwise expanding and contracting continuous invariant ...
• #### Positivity of the T-system cluster algebra ﻿

[OWP-2009-21] (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-14)
We give the path model solution for the cluster algebra variables of the $A_r$ T-system with generic boundary conditions. The solutions are partition functions of (strongly) non-intersecting paths on weighted graphs. The ...
• #### Proof mining in metric fixed point theory and ergodic theory ﻿

[OWP-2009-05] (Mathematisches Forschungsinstitut Oberwolfach, 2009)
In this survey we present some recent applications of proof mining to the fixed point theory of (asymptotically) nonexpansive mappings and to the metastability (in the sense of Terence Tao) of ergodic averages in uniformly ...
• #### Simple graded commutative algebras ﻿

[OWP-2009-12] (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-06)
We study the notion of $\Gamma$-graded commutative algebra for an arbitrary abelian group $\Gamma$. The main examples are the Clifford algebras already treated in [2]. We prove that the Clifford algebras are the only ...
• #### Simple vector bundles on plane degenerations of an elliptic curve ﻿

[OWP-2009-20] (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-13)
In 1957 Atiyah classified simple and indecomposable vector bundles on an elliptic curve. In this article we generalize his classification by describing the simple vector bundles on all reduced plane cubic curves. Our main ...
• #### Singer quadrangles ﻿

[OWP-2009-07] (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-01)
• #### Stein's method for dependent random variables occuring in statistical mechanics ﻿

[OWP-2009-09] (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-03)
We obtain rates of convergence in limit theorems of partial sums $S_n$ for certain sequences of dependent, identically distributed random variables, which arise naturally in statistical mechanics, in particular, in the ...
• #### A study on gradient blow up for viscosity solutions of fully nonlinear, uniformly elliptic equations ﻿

[OWP-2009-10] (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-04)
We investigate sharp conditions for boundary and interior gradient estimates of continuous viscosity solutions to fully nonlinear, uniformly elliptic equations under Dirichlet boundary conditions. When these conditions are ...
• #### Tilting on non-commutative rational projective curves ﻿

[OWP-2009-14] (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-08)
In this article we introduce a new class of non-commutative projective curves and show that in certain cases the derived category of coherent sheaves on them has a tilting complex. In particular, we prove that the right ...
• #### Weighted Fourier inequalities for radial functions ﻿

[OWP-2009-26] (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-19)
Weighted $L^p(\mathbb{R}^n) \to L^q(\mathbb{R}^n)$ Fourier inequalities are studied. We prove Pitt-Boas type results on integrability with power weights of the Fourier transform of a radial function.