Arsie, Alessandro

Alessandro Arsie
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Positions

Professor
Graduate Program Director, Mathematics and Statistics , College of Natural Sciences and Mathematics

Contact Info

Alessandro.Arsie@utoledo.edu

selected publications

Article (Faculty180)
- 2023
  
  A note on the Geometry of two-body problem on S^2. Journal of Geometry and Physics.
- 2023
  
  Collision trajectories and regularisation for two-body problem on S^2.. Journal of Geom. and Phys., (191), (2023).. 191.
- 2023
  
  Semisimple flat F-manifolds in higher genus.. Communications in Mathematical Physics. 397 :141–197.
- 2022
  
  A Predator-prey System with Generalized Holling Type IV Functional Response and Allee Effects in Prey. Journal of Differential Equations.
- 2022
  
  High codimension bifurcations of a predator-prey system with generalized Holling type III functional response and Allee effects. Journal of Dynamics and Differential Equations.
- 2021
  
  Flat F-manifolds, F-CohFTs and Integrable Hierarchies. Communications in Mathematical Physics.
- 2021
  
  Riemannian F-Manifolds, Bi-Flat F-Manifolds, and Flat Pencils of Metrics. International Mathematics Research Notices.
- 2018
  
  $ F $-manifolds, multi-flat structures and Painleve' transcendents. The Asian Journal of Mathematics.
- 2017
  
  Extensions to Chen's Minimizing Equal Mass Parallelogram Solutions. Taiwanese Journal of Mathematics. 21:1437.
- 2015
  
  Integrable viscous conservation laws. Nonlinearity. 28:1859.
- 2015
  
  On integrable conservation laws. Proc. R. Soc. A. 471:20140124.
- 2012
  
  Poisson bracket on 1-forms and evolutionary partial differential equations. Journal of Physics A: Mathematical and Theoretical. 45:475208.
- 2009
  
  Efficient routing algorithms for multiple vehicles with no explicit communications. IEEE Transactions on Automatic Control. 54:2302.
- 2009
  
  Equitable partitioning policies for mobile robotic networks. arXiv preprint arXiv:0903.5267.
- 2008
  
  On an eigenflow equation and its Lie algebraic generalization. Communications in Information and Systems. 8:147.
- 2007
  
  On the value of information in dynamic multiple-vehicle routing problems. Cooperative Control of Distributed Multi-Agent Systems (J. Shamma, ed.). 139.
- 2005
  
  Very ampleness of multiples of principal polarization on degenerate Abelian surfaces.. Revista Matematica Complutense. 18:119.
- 2004
  
  Geometric k-normality of curves and applications. Le Matematiche.
- 2004
  
  Stacks of cyclic covers of projective spaces. Compositio Mathematica. 140:647.
- 2003
  
  A note on symbolic and ordinary powers of homogeneous ideals. Annali dell' Universita' di Ferrara. 49:19.
- 2001
  
  On two simple criteria for recognizing complete intersections in codimension 2. Communications in Algebra.
- 2000
  
  Maslov class and minimality in Calabi--Yau manifolds. Journal of Geometry and Physics. 35:145.
Article (Web of Science)
- 2021
  
  Flat F-Manifolds, F-CohFTs, and Integrable Hierarchies. COMMUNICATIONS IN MATHEMATICAL PHYSICS.
  Full Text via DOI: 10.1007/s00220-021-04109-8
- 2019
  
  On the reducibility of systems of analytic quasi-periodic linear functional differential equations. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 477:576-591.
  Full Text via DOI: 10.1016/j.jmaa.2019.04.048
- 2019
  
  Effects of weighting the ends of a tubular bell on modular frequencies. JOURNAL OF MATHEMATICS AND MUSIC. 13:27-41.
  Full Text via DOI: 10.1080/17459737.2018.1508617
- 2019
  
  Balancing robot swarm cost and interference effects by varying robot quantity and size. SWARM INTELLIGENCE. 13:1-19.
  Full Text via DOI: 10.1007/s11721-018-0161-1
- 2019
  
  ON NEAR-OPTIMAL TIME SAMPLING FOR INITIAL DATA BEST APPROXIMATION. MATEMATICHE. 74:173-190.
  Full Text via DOI: 10.4418/2019.74.1.12
- 2017
  
  Extensions to Chen's Minimizing Equal Mass Parallelogram Solutions. TAIWANESE JOURNAL OF MATHEMATICS. 21:1437-1453.
  Full Text via DOI: 10.11650/tjm/171003
- 2017
  
  Complex reflection groups, logarithmic connections and bi-flat F-manifolds. LETTERS IN MATHEMATICAL PHYSICS. 107:1919-1961.
  Full Text via DOI: 10.1007/s11005-017-0963-x
- 2015
  
  A normalizing isospectral flow on complex Hessenberg matrices. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 432:787-805.
  Full Text via DOI: 10.1016/j.jmaa.2015.07.020
- 2015
  
  Integrable viscous conservation laws. NONLINEARITY. 28:1859-1895.
  Full Text via DOI: 10.1088/0951-7715/28/6/1859
- 2015
  
  A Hessenberg-Jacobi isospectral flow. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. 22:87-103.
  Full Text via DOI: 10.1007/s00030-014-0276-z
- 2015
  
  On integrable conservation laws. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES. 471.
  Full Text via DOI: 10.1098/rspa.2014.0124
- 2014
  
  Purely non-local Hamiltonian formalism, Kohno connections and boolean OR-systems. JOURNAL OF MATHEMATICAL PHYSICS. 55.
  Full Text via DOI: 10.1063/1.4901558
- 2013
  
  From the Darboux-Egorov system to bi-flat F-manifolds. JOURNAL OF GEOMETRY AND PHYSICS. 70:98-116.
  Full Text via DOI: 10.1016/j.geomphys.2013.03.023
- 2013
  
  Reciprocal F-manifolds. JOURNAL OF GEOMETRY AND PHYSICS. 70:185-204.
  Full Text via DOI: 10.1016/j.geomphys.2013.03.029
- 2013
  
  F-Manifolds with Eventual Identities, Bidifferential Calculus and Twisted Lenard-Magri Chains. INTERNATIONAL MATHEMATICS RESEARCH NOTICES. 3931-3976.
  Full Text via DOI: 10.1093/imrn/rns172
- 2012
  
  Poisson bracket on 1-forms and evolutionary partial differential equations. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. 45.
  Full Text via DOI: 10.1088/1751-8113/45/47/475208
- 2012
  
  Inherited structures in deformations of Poisson pencils. JOURNAL OF GEOMETRY AND PHYSICS. 62:1114-1134.
  Full Text via DOI: 10.1016/j.geomphys.2011.12.006
- 2011
  
  Distributed Algorithms for Environment Partitioning in Mobile Robotic Networks. IEEE TRANSACTIONS ON AUTOMATIC CONTROL. 56:1834-1848.
  Full Text via DOI: 10.1109/TAC.2011.2112410
- 2011
  
  On bi-Hamiltonian deformations of exact pencils of hydrodynamic type. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. 44.
  Full Text via DOI: 10.1088/1751-8113/44/22/225205
- 2011
  
  Distributed Algorithms for Environment Partitioning in Mobile Robotic Networks. IEEE TRANSACTIONS ON AUTOMATIC CONTROL. 56:1834-1848.
  Full Text via DOI: 10.1109/tac.2011.2112410
- 2010
  
  Locating omega-limit sets using height functions. JOURNAL OF DIFFERENTIAL EQUATIONS. 248:2458-2469.
  Full Text via DOI: 10.1016/j.jde.2009.11.012
- 2009
  
  Efficient Routing Algorithms for Multiple Vehicles With no Explicit Communications. IEEE TRANSACTIONS ON AUTOMATIC CONTROL. 54:2302-2317.
  Full Text via DOI: 10.1109/tac.2009.2028954
- 2008
  
  Efficient routing of multiple vehicles with no explicit communications. International Journal of Robust and Nonlinear Control. 18:154-164.
  Full Text via DOI: 10.1002/rnc.1258
- 2004
  
  Stacks of cyclic covers of projective spaces. Compositio Mathematica. 140:647-666.
  Full Text via DOI: 10.1112/s0010437x03000253
- 2001
  
  ON TWO SIMPLE CRITERIA FOR RECOGNIZING COMPLETE INTERSECTIONS IN CODIMENSION 2. COMMUNICATIONS IN ALGEBRA. 29:5251-5260.
  Full Text via DOI: 10.1081/agb-100106817
- 2000
  
  Maslov class and minimality in Calabi–Yau manifolds. JOURNAL OF GEOMETRY AND PHYSICS. 35:145-156.
  Full Text via DOI: 10.1016/s0393-0440(00)00003-6
Proceedings (Faculty180)
Proceedings Paper (Web of Science)
- 2009
  
  On an Eigenflow Equation and its Structure Preserving Properties. PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009). 7491-7496.
- 2009
  
  On an eigenflow equation and its structure preserving properties
  Full Text via DOI: 10.1109/cdc.2009.5400768
- 2009
  
  Refining LaSalle's invariance principle
  Full Text via DOI: 10.1109/acc.2009.5160635

full name

Alessandro Arsie

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