2025 - 2026 Program

Title: On the relative multifractal analysis of branching random walk on Galton-Watson tree.

Speaker: Najmeddine Attia, Department of Mathematics and Statistics, College of Science, King Faisal University, Saudi Arabia.( slides, video)

Abstract: We compute almost surely and simultaneaously the Hausdorff and packing dimensions of the sets of infinite branches of the boundary of a super-critical GaltonWatson tree along which the averages of a vector valued branching random walk have a given set of limit points. This goes beyond multifractal analysis, for which we complete the previous works on the subject by considering the sets associated with levels in the boundary of the domain of study. Our method is inspired by some approach used to solve similar questions in the different context of hyperbolic dynamics for the Birkhoff averages of continuous potentials. It also exploits ideas from multiplicative chaos and percolation theories, which are used to estimate the lower Hausdorff dimension of a family of inhomogeneous Mandelbrot measures. 

Title: Where do random trees grow leaves? 

Speaker: Alessandra Caraceni,  Scuola Normale Superiore di Pisa, Italy.(slides, video)

Abstract: Consider the problem of growing a binary tree uniformly at random by the leaves, that is, of coupling a uniform random binary tree with n internal vertices with a uniform binary tree with one extra internal vertex, in such a way that the latter is obtained from the former by growing two new children of a random leaf. The existence of a probability measure on the leaves for which this uniform growth procedure is possible is due to Łuczak and Winkler, and some more information about what this measure must look like was obtained in joint work with Alexandre Stauffer. With Nicolas Curien and Robin Stephenson, we extend this uniform growth procedure to the continuous setting of the Brownian Tree, and explore the interesting multifractal properties of the resulting leaf growth measure. 

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Speaker: Konrad Kolesko, Mathematical Institute, University of Wrocław, Poland.( slides, video)

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Title:  Asymptotic behavior of some strongly critical decomposable 3-type Galton–Watson processes with immigration.

Speaker: Dániel Bezdány, Bolyai Institute, University of Szeged, Aradivertanuk tere 1, H–6720 Szeged, Hungary. (slides, video)

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Speaker: Evrydiki Xenia Nestoridi, Stony Brook University, Stony Brook NY 11794-3651, USA. (slides, video)

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Speaker: Youssef Esstafa,  Le Mans University, France. (slides, video)

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Speaker: Shuhei Shibata, Joint Graduate School of Mathematics for Innovation (JGMI), Kyushu University. (slides, video)

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Speaker: Tameem Amani, Research Scientist - Saudi Aramco. (slides, video)

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Speaker: Asma Khedher, University of Amstredam, , The Netherlands.

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Speaker:  Federico Sau, University of Milan, Italy.

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Speaker: Yadh Hafsi, University of Paris-Sacly, France. 

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Speaker:  Colin McSwiggen, Institute of Mathematics, Academia Sinica, Taiwan.

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Speaker:  Ibtissem Hdhiri, University of Gabes, Tunisia.

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