In this paper, we consider systems of linear ordinary differential equations, with analytic
coefficients on big sectorial domains, which are asymptotically diagonal for large values of …

In the first part of this paper, we give a new analytical proof of a theorem of C. Sabbah on
integrable deformations of meromorphic connections on\mathbb P^ 1 P 1. This theorem …

In this paper, we address the problem of classification of quasi‐homogeneous formal power
series providing solutions of the oriented associativity equations. Such a classification is …

We explain some results of [G. Cotti, BA Dubrovin and D. Guzzetti, Isomonodromy
deformations at an irregular singularity with coalescing eigenvalues, preprint (2017); arXiv …

The occurrence and frequency of a phenomenon of resonance (namely the coalescence of
some Dubrovin canonical coordinates) in the locus of small quantum cohomology of …

We consider a Pfaffian system expressing isomonodromy of an irregular system of Okubo
type, depending on complex deformation parameters u=(u 1,…, un), which are eigenvalues …

The sixth Painlevé equation PVI is both the isomonodromy deformation condition of a 2-
dimensional isomonodromic Fuchsian system and of a 3-dimensional irregular system. Only …

In the first part of this paper, we introduce the notion of cyclic stratum of a Frobenius manifold
M. This is the set of points of the extended manifold CM at which the unit vector field is a …

Some of the main results of [Cotti G., Dubrovin B., Guzzetti D., Duke Math. J., to appear,
arXiv: 1706.04808], concerning non-generic isomonodromy deformations of a certain linear …

This paper addresses the classification problem of integrable deformations of solutions of"
degenerate" Riemann-Hilbert-Birkhoff (RHB) problems. These consist of those RHB …