MENGENAI EPISOD INI
Co-authors: Sara Billey (University of Washington), Soumik Pal (University of Washington), Lerna Pehlivan (University of Washington), Bruce Sagan (Michigan State University)
I will discuss some questions and results on random labelings of graphs conditioned on having a small number of peaks (local maxima). The main open question is to determine the distance between two peaks on a large discrete torus, assuming that the random labeling is conditioned on having exactly two peaks.
I will discuss some questions and results on random labelings of graphs conditioned on having a small number of peaks (local maxima). The main open question is to determine the distance between two peaks on a large discrete torus, assuming that the random labeling is conditioned on having exactly two peaks.
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Inggeris
DALAM EPISOD INI
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EPISOD LAIN DALAM PODCAST INI
Co-author: Steffen Rohde (University of Washington)
Inspired by the geometric understanding of the SLE trace, there has been interest in studying how the deterministic Loewner equation encodes geometric properties of 2-dim sets into the 1-dim data of the driving function. Working in this vein, ...
Co-author: Jean-Christophe MOURRAT (ENS Lyon)
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I will present a few self-interacting random-walk-type models that somehow sit in between internal diffusion-limited aggregation and reinforced walks, associated to a strategy for proving a shape theorem for once-reinforced RW; and I will show some results in that direction.
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