12,363 research outputs found
On universal modular symbols
We clarify the relationship between works of Lee-Szczarba and Ash-Rudolph on
the homology of the Steinberg module of a linear Tits building. This yields a
simple proof of the Solomon-Tits theorem in this special case. We also give a
(weak) relationship between this combinatorics and the one studied by van der
Kallen, Suslin and Nesterenko to compute the homology of the general linear
group with constant coefficients.Comment: 13
Dynamic risk measures on variable exponent Bochner--Lebesgue spaces
In this paper, we will study several classes of risk measures on a special
space where the variable exponent is no longer a
given real number like the space , but a random variable, which reflects
the possible volatility of the financial markets. The dual representations for
them are also provided
- …