@article {doi:10.1142/S2010326317400044,
	title = {Analytic geometry of semisimple coalescent Frobenius structures},
	journal = {Random Matrices: Theory and Applications},
	volume = {06},
	number = {04},
	year = {2017},
	pages = {1740004},
	abstract = {<p>We present some results of a joint paper with Dubrovin (see references), as exposed at the Workshop {\textquotedblleft}Asymptotic and Computational Aspects of Complex Differential Equations{\textquotedblright} at the CRM in Pisa, in February 2017. The analytical description of semisimple Frobenius manifolds is extended at semisimple coalescence points, namely points with some coalescing canonical coordinates although the corresponding Frobenius algebra is semisimple. After summarizing and revisiting the theory of the monodromy local invariants of semisimple Frobenius manifolds, as introduced by Dubrovin, it is shown how the definition of monodromy data can be extended also at semisimple coalescence points. Furthermore, a local Isomonodromy theorem at semisimple coalescence points is presented. Some examples of computation are taken from the quantum cohomologies of complex Grassmannians.</p>},
	doi = {10.1142/S2010326317400044},
	url = {https://doi.org/10.1142/S2010326317400044},
	author = {Giordano Cotti and Davide Guzzetti}
}
@article {2011,
	title = {An asymptotic reduction of a Painlev{\'e} VI equation to a Painlev{\'e} III},
	journal = {J.Phys.A: Math.Theor. 44 (2011) 215203},
	number = {arXiv:1101.4705;},
	year = {2011},
	publisher = {IOP Publishing},
	abstract = {When the independent variable is close to a critical point, it is shown that\\r\\nPVI can be asymptotically reduced to PIII. In this way, it is possible to\\r\\ncompute the leading term of the critical behaviors of PVI transcendents\\r\\nstarting from the behaviors of PIII transcendents.},
	doi = {10.1088/1751-8113/44/21/215203},
	url = {http://hdl.handle.net/1963/5124},
	author = {Davide Guzzetti}
}
@article {2007,
	title = {The Asymptotic Behaviour of the Fourier Transforms of Orthogonal Polynomials II: L.I.F.S. Measures and Quantum Mechanics},
	journal = {Ann. Henri Poincar{\textasciiacute}e 8 (2007), 301{\textendash}336},
	year = {2007},
	publisher = {2007 Birkh{\textasciidieresis}auser Verlag Basel/Switzerland},
	abstract = {We study measures generated by systems of linear iterated functions,\r\ntheir Fourier transforms, and those of their orthogonal polynomials. We\r\ncharacterize the asymptotic behaviours of their discrete and continuous averages.\r\nFurther related quantities are analyzed, and relevance of this analysis\r\nto quantum mechanics is briefly discussed},
	doi = {10.1007/s00023-006-0309-1},
	author = {Davide Guzzetti and Giorgio Mantica}
}
