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6 papers · 1 filter
Note on the lamp lighting problem
Henrik Eriksson, Kimmo Eriksson, Jonas Sjostrand
We answer some questions concerning the so called sigma-game of Sutner. It is played on a graph where each vertex has a lamp, the light of which is toggled by pressing any vertex w…
Exact expectations for random graphs and assignments
Henrik Eriksson, Kimmo Eriksson, Jonas Sjostrand
For a random graph on n vertices where the edges appear with individual rates, we give exact formulas for the expected time at which the number of components has gone down to k and…
An optimal series expansion of the multiparameter fractional Brownian motion
Anatoliy Malyarenko
We derive a series expansion for the multiparameter fractional Brownian motion. The derived expansion is proven to be rate optimal.
Functional Limit Theorems for Multiparameter Fractional Brownian Motion
Anatoliy Malyarenko
We prove a general functional limit theorem for multiparameter fractional Brownian motion. The functional law of the iterated logarithm, functional Lévy's modulus of continuity and…
Algebraic and differential Rainich conditions for symmetric trace-free tensors of higher rank
G. Bergqvist, P. Lankinen
We study Rainich-like conditions for symmetric and trace-free tensors T. For arbitrary even rank we find a necessary and sufficient differential condition for a tensor to satisfy t…
Unique characterization of the Bel-Robinson tensor
G. Bergqvist, P. Lankinen
We prove that a completely symmetric and trace-free rank-4 tensor is, up to sign, a Bel-Robinson type tensor, i.e., the superenergy tensor of a tensor with the same algebraic symme…