4 papers
Reproducing Kernel Hilbert Space Associated with a Unitary Representation of a Groupoid
Monika Drewnik, Tomasz Miller, Zbigniew Pasternak-Winiarski
The aim of the paper is to create a link between the theory of reproducing kernel Hilbert spaces (RKHS) and the notion of a unitary representation of a group or of a groupoid. More…
Generally covariant -particle dynamics
Tomasz Miller, Michał Eckstein, Paweł Horodecki +1
A simultaneous description of the dynamics of multiple particles requires a configuration space approach with an external time parameter. This is in stark contrast with the relativ…
Operational causality in spacetime
Michał Eckstein, Paweł Horodecki, Ryszard Horodecki +1
The no-signalling principle preventing superluminal communication is a limiting paradigm for physical theories. Within the information-theoretic framework it is commonly understood…
On the causality and -causality between measures
Tomasz Miller
Drawing from our earlier works on the notion of causality for nonlocal phenomena, we propose and study the extension of the Sorkin--Woolgar relation onto the space of Borel p…