72 citations
10 papers
Unbounded Subnormal Composition Operators in L2-Spaces
Piotr Budzynski, Zenon Jan Jablonski, Il Bong Jung +1
A criterion for subnormality of unbounded composition operators in L2-spaces, written in terms of measurable families of probability measures satisfying the so-called consistency c…
Space-time diagrammatics
Piotr T. Chruściel, Christa R. Ölz, Sebastian J. Szybka
We introduce a new class of two-dimensional diagrams, the \emph{projection diagrams}, as a tool to visualize the global structure of space-times. We construct the diagrams for seve…
The viscosity parameter alpha and the properties of accretion disc outbursts in close binaries
Iwona Kotko, Jean-Pierre Lasota
The physical mechanisms driving angular momentum transport in accretion discs are still unknown. Although it is generally accepted that, in hot discs, the turbulence triggered by t…
Stable causality of Black Saturns
Sebastian J. Szybka
We prove that the Black Saturns are stably causal on the closure of the domain of outer communications.
On smoothness of Black Saturns
Piotr T. Chruściel, Michał Eckstein, Sebastian J. Szybka
We prove smoothness of the domain of outer communications (d.o.c.) of the Black Saturn solutions of Elvang and Figueras. We show that the metric on the d.o.c. extends smoothly acro…
The Beckman-Quarles theorem for continuous mappings from C^n to C^n
Apoloniusz Tyszka
Let varphi_n:C^n times C^n->C, varphi_n((x_1,...,x_n),(y_1,...,y_n))=sum_{i=1}^n (x_i-y_i)^2. We say that f:C^n->C^n preserves distance d>=0, if for each X,Y in C^n varphi_n(X,Y)=d…