392 citations
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19 papers · 1 filter
The non-projective part of the Lie module for the symmetric group
Karin Erdmann, Kai Meng Tan
The Lie module of the group algebra of the symmetric group is known to be not projective if and only if the characteristic of divides . We show that in this case…
On a relation between potentials for pluriharmonic maps and para-pluriharmonic maps
Nobutaka Boumuki, Josef Dorfmeister
In this paper, we show that one can interrelate pluriharmonic maps with para-pluriharmonic maps by means of the loop group method. As an appendix, we give examples for the interrel…
Stochastic ranking process with time dependent intensities
Yuu Hariya, Kumiko Hattori, Tetsuya Hattori +3
We consider the stochastic ranking process with the jump times of the particles determined by Poisson random measures. We prove that the joint empirical distribution of scaled posi…
The Complete Planar S-matrix of N=4 SYM as a Wilson Loop in Twistor Space
Lionel Mason, David Skinner
We propose that the complete planar S-matrix of N=4 super Yang-Mills - including all N^kMHV partial amplitudes to all loops - is equivalent to the correlation function of a supersy…
Optimal bounds for self-similar solutions to coagulation equations with product kernel
Barbara Niethammer, Juan J. L. Velazquez
We consider mass-conserving self-similar solutions of Smoluchowski's coagulation equation with multiplicative kernel of homogeneity . We establish rigorously that suc…
Lower semicontinuity and Young measures in BV without Alberti's Rank-One Theorem
Filip Rindler
We give a new proof of sequential weak* lower semicontinuity in $\BV(Ω;\R^m)$ for integral functionals with a quasiconvex Carathéodory integrand with linear growth at infinity and…