Stacks of cyclic covers of projective spaces
- A. Arsie, Angelo Vistoli
- MathematicsCompositio Mathematica
- 2 January 2003
We define stacks of uniform cyclic covers of Brauer–Severi schemes, proving that they can be realized as quotient stacks of open subsets of representations, and compute the Picard group for the open…
Distributed Algorithms for Environment Partitioning in Mobile Robotic Networks
- M. Pavone, A. Arsie, Emilio Frazzoli, F. Bullo
- Computer ScienceIEEE Transactions on Automatic Control
- 7 February 2011
This paper designs provably correct and spatially distributed algorithms that allow a team of agents to compute a convex and equitable partition of a conveX environment and illustrates a systematic approach to devise spatially distributing control policies for a large variety of multiagent coordination problems.
Locating omega-limit sets using height functions
- A. Arsie, C. Ebenbauer
- Mathematics
- 15 May 2010
From the Darboux–Egorov system to bi-flat F-manifolds
- A. Arsie, P. Lorenzoni
- Mathematics
- 11 May 2012
Efficient Routing Algorithms for Multiple Vehicles With no Explicit Communications
- A. Arsie, K. Savla, Emilio Frazzoli
- Computer ScienceIEEE Transactions on Automatic Control
- 1 September 2009
It is demonstrated that inter-agent communication does not improve the efficiency of such systems, but merely affects the rate of convergence to the steady state, and is shown to yield an efficient, pure Nash equilibrium in a game theoretic formulation of the problem.
Equitable partitioning policies for robotic networks
- M. Pavone, A. Arsie, Emilio Frazzoli, F. Bullo
- Computer ScienceIEEE International Conference on Robotics and…
- 1 May 2009
This paper provides the first distributed algorithm that provably allows m agents to converge to an equitable partition of the workspace, from any initial configuration, i.e., globally.
Efficient routing of multiple vehicles with no communication
- A. Arsie, Emilio Frazzoli
- Computer ScienceAmerican Control Conference
- 22 September 2006
It is demonstrated that inter-agent communication does not improve the efficiency of such systems, but merely affects the rate of convergence to the steady state.
A note on symbolic and ordinary powers of homogeneous ideals
- A. Arsie, J. E. Vatne
- MathematicsAnnali dell?Università di Ferrara
- 1 January 2003
SuntoIn questa nota siamo interessati ai moduli graduatiMk=I(k)/Ik e
$$N_k : = \overline {I^k } /I^k $$
, doveI è un ideale saturato nell'anello delle coordinate omogeneeS:=K[x0,…,xn] di ℙn,I(k) è la…
On bi-Hamiltonian deformations of exact pencils of hydrodynamic type
- A. Arsie, P. Lorenzoni
- Mathematics
- 30 December 2010
In this paper, we are interested in nontrivial bi-Hamiltonian deformations of the Poisson pencil . Deformations are generated by a sequence of vector fields {X2, X3, X4, …}, where each Xk is…
Flat F-Manifolds, F-CohFTs, and Integrable Hierarchies
- A. Arsie, A. Buryak, P. Lorenzoni, P. Rossi
- MathematicsCommunications in Mathematical Physics
- 9 December 2020
We define the double ramification hierarchy associated to an F-cohomological field theory and use this construction to prove that the principal hierarchy of any semisimple (homogeneous) flat…
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