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Creators/Authors contains: "Gutt, Jean"

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  1. ; (, Revista Matemática Iberoamericana)
    It is a long-standing conjecture that all symplectic capacities which are equal to the Gromov width for ellipsoids coincide on a class of convex domains in\mathbb{R}^{2n}. It is known that they coincide for monotone toric domains in all dimensions. In this paper, we study whether requiring a capacity to be equal to thekth Ekeland–Hofer capacity for all ellipsoids can characterize it on a class of domains. We prove that fork=n=2, this holds for convex toric domains, but not for all monotone toric domains. We also prove that, fork=n\ge 3, this does not hold even for convex toric domains. 
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    Free, publicly-accessible full text available July 8, 2026
  2. ; ; ; (, International Mathematics Research Notices)
    Abstract Chaidez and Edtmair have recently found the first examples of dynamically convex domains in $$\mathbb{R}^{4}$$ that are not symplectomorphic to convex domains, answering a long-standing open question. In this paper, we discover new examples of such domains without referring to Chaidez–Edtmair’s methods. We show a stronger result: that these domains are arbitrarily far from the set of convex domains in $$\mathbb{R}^{4}$$ with respect to the coarse symplectic Banach–Mazur distance. 
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  3. ; ; (, Journal of Fixed Point Theory and Applications)
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