Parham Radpay - Renormalization group methods for quantum spin glasses @IhesFr

Uploaded November 2025 | Updated September 2026, 3 weeks ago

In this talk we study the dynamics of a quantum p-spin glass. For this purpose a nonperturbative renormalization group approach based on Wetterich-Morris formalism is adopted with two approximation schemes to address the model's non-locality, arising from the replica trick. The model is investigated in the symmetric and symmetry-broken phases. Finally, the results are briefly compared with previous results on 2+p spin glasses based on a less conventional coarse-graining scheme.

Parham Radpay (Université Paris-Saclay)

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Parham Radpay - Renormalization group methods for quantum spin glasses

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$Thomas Müller - Higher Dimensional Floorplans and Baxter $d$-permutations A 2-dimensional mosaic floorplan is a partition of a rectangle by other rectangles with no empty rooms. These partitions (considered up to some deformations) are known to be in bijection with Baxter permutations. A $d$-permutation is a $(d-1)$-tuple of permutations. Recently, in N. Bonichon and P.-J. Morel, J. Integer Sequences 25 (2022), Baxter $d$-permutations generalising the usual Baxter permutations were introduced. In this talk, I will introduce the $d$-floorplans which generalise the mosaic floorplans to arbitrary dimensions. Then, I will present the construction of their generating tree. The corresponding labels and rewriting rules appear to be significantly more involved in higher dimensions. Finally, I will present a bijection between the $2^{d-1}$-floorplans and $d$-permutations characterised by forbidden vincular patterns. Surprisingly, this set of $d$-permutations is strictly contained within the set of Baxter $d$-permutations. This is a joint work with Nicolas Bonichon and Adrian Tanasa (Université de bordeaux), this talk is based on arXiv:2504.01116. Thomas Müller (LIPN) Find this and many more scientific videos on https://www.carmin.tv/ - a French video platform for mathematics and their interactions with other sciences offering extra functionalities tailored to meet the needs of the research community.$

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