Alessandro Arsie
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Professor
Associate Chair
Graduate Program Director, Mathematics and Statistics , College of Natural Sciences and Mathematics
Contact Info
Publications
selected publications
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Article (Faculty180)
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2023A Dubrovin-Frobenius manifold structure of NLS type on the orbit space of B_n. Selecta Mathematica. 29.
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2023Collision trajectories and regularisation for two-body problem on S^2.. Journal of Geom. and Phys., (191), (2023).. 191.
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2023Semisimple flat F-manifolds in higher genus.. Communications in Mathematical Physics. 397 :141–197.
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2022A Predator-prey System with Generalized Holling Type IV Functional Response and Allee Effects in Prey. Journal of Differential Equations.
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2022High codimension bifurcations of a predator-prey system with generalized Holling type III functional response and Allee effects. Journal of Dynamics and Differential Equations.
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2021Flat F-manifolds, F-CohFTs and Integrable Hierarchies. Communications in Mathematical Physics.
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2021Riemannian F-Manifolds, Bi-Flat F-Manifolds, and Flat Pencils of Metrics. International Mathematics Research Notices.
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2019Balancing robot swarm cost and interference effects by varying robot quantity and size. Swarm Intelligence . 13.
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2019Effects of weighting the ends of a tubular bell on modular frequencies. Journal of Mathematics and Music. 18.
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2019F-manifolds, multi-flat structures and Painlevé transcendents. Asian Journal of Mathematics. Volume 23:877 – 904.
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2019On near-optimal time samplings for initial data best approximation. Le Matematiche. 74.
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2019On the reducibility of systems of analytic quasi-periodic linear functional differential equations. Journal of Mathematical Analysis and Applications. 477:576-591.
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2018$ F $-manifolds, multi-flat structures and Painleve' transcendents. The Asian Journal of Mathematics.
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2018Flat F-manifolds, Miura invariants, and integrable systems of conservation laws. Journal of Integrable Systems. 3:xyy004.
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2017Complex reflection groups, logarithmic connections and bi-flat F-manifolds. Letters in Mathematical Physics. 107:1919.
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2017Extensions to Chen's Minimizing Equal Mass Parallelogram Solutions. Taiwanese Journal of Mathematics. 21:1437.
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2015A Hessenberg--Jacobi isospectral flow. Nonlinear Differential Equations and Applications NoDEA. 22:87.
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2015A normalizing isospectral flow on complex Hessenberg matrices. Journal of Mathematical Analysis and Applications. 432:787.
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2015Integrable viscous conservation laws. Nonlinearity. 28:1859.
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2015On integrable conservation laws. Proc. R. Soc. A. 471:20140124.
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2014Purely non-local Hamiltonian formalism, Kohno connections and $\vee$-systems. Journal of Mathematical Physics. 55:113510.
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2013F-manifolds with eventual identities, bidifferential calculus and twisted Lenard-Magri chains. International Mathematics Research Notices. 2013:3931.
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2013From the Darboux--Egorov system to bi-flat F-manifolds. Journal of Geometry and Physics. 70:98.
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2013Reciprocal F-manifolds. Journal of Geometry and Physics. 70:185.
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2012Inherited structures in deformations of Poisson pencils. Journal of Geometry and Physics. 62:1114.
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2012Poisson bracket on 1-forms and evolutionary partial differential equations. Journal of Physics A: Mathematical and Theoretical. 45:475208.
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2011Distributed algorithms for environment partitioning in mobile robotic networks. IEEE Transactions on Automatic Control. 56:1834.
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2011On bi-Hamiltonian deformations of exact pencils of hydrodynamic type. Journal of Physics A: Mathematical and Theoretical. 44:225205.
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2010Locating omega-limit sets using height functions. Journal of Differential Equations. 248:2458.
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2009Efficient routing algorithms for multiple vehicles with no explicit communications. IEEE Transactions on Automatic Control. 54:2302.
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2009Equitable partitioning policies for mobile robotic networks. arXiv preprint arXiv:0903.5267.
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2008On an eigenflow equation and its Lie algebraic generalization. Communications in Information and Systems. 8:147.
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2007On the value of information in dynamic multiple-vehicle routing problems. Cooperative Control of Distributed Multi-Agent Systems (J. Shamma, ed.). 139.
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2005Very ampleness of multiples of principal polarization on degenerate Abelian surfaces.. Revista Matematica Complutense. 18:119.
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2004Geometric k-normality of curves and applications. Le Matematiche.
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2004Stacks of cyclic covers of projective spaces. Compositio Mathematica. 140:647.
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2003A note on symbolic and ordinary powers of homogeneous ideals. Annali dell' Universita' di Ferrara. 49:19.
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2001On two simple criteria for recognizing complete intersections in codimension 2. Communications in Algebra.
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2000Maslov class and minimality in Calabi--Yau manifolds. Journal of Geometry and Physics. 35:145.
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Article (Web of Science)
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2021Flat F-Manifolds, F-CohFTs, and Integrable Hierarchies. COMMUNICATIONS IN MATHEMATICAL PHYSICS.Full Text via DOI: 10.1007/s00220-021-04109-8
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2019On 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
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2019Effects 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
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2019Balancing 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
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2019ON NEAR-OPTIMAL TIME SAMPLING FOR INITIAL DATA BEST APPROXIMATION. MATEMATICHE. 74:173-190.Full Text via DOI: 10.4418/2019.74.1.12
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2017Extensions to Chen's Minimizing Equal Mass Parallelogram Solutions. TAIWANESE JOURNAL OF MATHEMATICS. 21:1437-1453.Full Text via DOI: 10.11650/tjm/171003
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2017Complex 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
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2015A 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
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2015Integrable viscous conservation laws. NONLINEARITY. 28:1859-1895.Full Text via DOI: 10.1088/0951-7715/28/6/1859
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2015A Hessenberg-Jacobi isospectral flow. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. 22:87-103.Full Text via DOI: 10.1007/s00030-014-0276-z
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2015On integrable conservation laws. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES. 471.Full Text via DOI: 10.1098/rspa.2014.0124
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2014Purely non-local Hamiltonian formalism, Kohno connections and boolean OR-systems. JOURNAL OF MATHEMATICAL PHYSICS. 55.Full Text via DOI: 10.1063/1.4901558
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2013From 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
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2013Reciprocal F-manifolds. JOURNAL OF GEOMETRY AND PHYSICS. 70:185-204.Full Text via DOI: 10.1016/j.geomphys.2013.03.029
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2013F-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
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2012Poisson 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
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2012Inherited 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
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2011Distributed 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
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2011On 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
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2011Distributed 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
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2010Locating omega-limit sets using height functions. JOURNAL OF DIFFERENTIAL EQUATIONS. 248:2458-2469.Full Text via DOI: 10.1016/j.jde.2009.11.012
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2009Efficient 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
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2008Efficient 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
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2004Stacks of cyclic covers of projective spaces. Compositio Mathematica. 140:647-666.Full Text via DOI: 10.1112/s0010437x03000253
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2001ON TWO SIMPLE CRITERIA FOR RECOGNIZING COMPLETE INTERSECTIONS IN CODIMENSION 2. COMMUNICATIONS IN ALGEBRA. 29:5251-5260.Full Text via DOI: 10.1081/agb-100106817
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2000Maslov 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
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Chapter (Faculty180)
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2020Bi-flat $F$-manifolds: a survey. Integrable Systems and Algebraic Geometry (Vol 1), Ron Donagi and Tony Shaska (Eds). . Cambridge University Press. 27.
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Dissertation (Faculty180)
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Proceedings (Faculty180)
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Proceedings Paper (Web of Science)
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2009On 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.
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2009On an eigenflow equation and its structure preserving propertiesFull Text via DOI: 10.1109/cdc.2009.5400768
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Contact
full name
- Alessandro Arsie
visualizations
Cumulative publications in Scholars@UToledo
