2 citations · 4 across the 5 of their papers we have counts for
5 papers
Crisis: Probabilistically Self Organizing Total Order in Unstructured P2P Networks
Mirco Richter
A framework for asynchronous, signature free, fully local and probabilistically converging total order algorithms is developed, that may survive in high entropy, unstructured Peer-…
Towards Homotopy Poisson-n Algebras from N-plectic Structures
Mirco Richter
We associate a homotopy Poisson-n algebra to any higher symplectic structure, which generalizes the common symplectic Poisson algebra of smooth functions. This provides robust n-pl…
Higher symplectic structure on torsionless Lie-Rinehart pairs
Mirco Richter
We define an n-plectic structure as a commutative and torsionless Lie Rinehart pair, together with a distinguished cocycle from its Chevalley-Eilenberg complex. This 'n-plectic coc…
Lie Infinity-Algebras from Lie Rinehart Pairs
Mirco Richter
We generalize the Schouten calculus of multivector fields to commutative Lie Rinehart pairs and define a non negatively graded Lie oo-algebra on their exterior power.
A Lie Infinity Algebra of Hamiltonian Forms in n-plectic Geometry
Mirco Richter
We propose a new definition of so called Hamiltonian forms in n-plectic geometry and show that they have a non-trivial Lie infinity-algebra structure.