## Search

Now showing items 1-10 of 27

#### 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 ...

#### An introduction to heavy-tailed and sibexponential distributions

[OWP-2009-13] (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-07)

This text studies heavy-tailed distributions in probability theory, and especially convolutions
of such distributions. The mail goal is to provide a complete and comprehensive introduction
to the theory of long-tailed ...

#### 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 ...

#### On the non-analyticity locus of an arc-analytic function

[OWP-2009-03] (Mathematisches Forschungsinstitut Oberwolfach, 2009-02-21)

A function is called arc-analytic if it is real analytic on each real analytic arc. In real analytic geometry there are many examples of arc-analytic functions that are not real analytic. Arc analytic functions appear ...

#### Classification of idempotent states on the compact quantum groups Uq(2), SUq(2) and SOq(3)

[OWP-2009-08] (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-02)

We give a simple characterisation of those idempotent states on compact quantum groups which arise as Haar states on quantum subgroups, show that all idempotent states on quantum groups $U_q(2)$, $SU_q(2)$, and $SO_q(3) ...

#### 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 ...

#### Control of Volterra systems with scalar kernels

[OWP-2009-16] (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-10)

Volterra observations systems with scalar kernels are studied. New sufficient conditions for admissibility of observation operators are developed and some examples are discussed.

#### 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 new counting function for the zeros of holomorphic curves

[OWP-2009-25] (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-18)

Let $f_1,..., f_p$ be entire functions that do not all vanish at any point, so that $(f_1,..., f_p)$ is a holomorphic curve in $\mathbb{CP}^{p-1}$. We introduce a new and more careful notion of counting the order of the ...

#### Homological properties of piecewise hereditary algebras

[OWP-2009-11] (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-05)

Let $\Lambda$ be a finite dimensional algebra over an algebraically closed field $k$. We will investigate homological properties of piecewise hereditary algebras $\Lambda$. In particular we give lower and upper bounds of ...