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[post_date] => 2025-11-21 06:30:21
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[post_content] => Dear All,
The Department of Mathematics is inviting you to attend a talk on November 25, 2025.
Title: Convergence to the Brownian net under non-binary branching
Abstract: The Brownian web is a collection of one-dimensional coalescing Brownian motions starting from every point in space and time, while the Brownian net is an extension that also allows branching. The Brownian net is proved to be the universal scaling limit of one-dimensional branching-coalescing random walks with weak binary branching and arbitrary increment distributions that have sufficient moments and it is conjectured to be the limit in case of more general (non-binary) weak branching. In this work we prove this conjecture. This work also provides a robust framework applicable for studying convergence problems to the Borwnian net under more general set up.
This is a joint work with Partha Sarathi Ghosh.
I will try to present it as a metric space problem and the main idea should be accessible to undergraduate students with a course on metric and topological spaces.
We look forward to having you with us.
[post_title] => Mathematics Colloquium
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[post_content] => Dear All,
The Department of Mathematics is inviting you to attend a talk on November 25, 2025.
Title: Convergence to the Brownian net under non-binary branching
Abstract: The Brownian web is a collection of one-dimensional coalescing Brownian motions starting from every point in space and time, while the Brownian net is an extension that also allows branching. The Brownian net is proved to be the universal scaling limit of one-dimensional branching-coalescing random walks with weak binary branching and arbitrary increment distributions that have sufficient moments and it is conjectured to be the limit in case of more general (non-binary) weak branching. In this work we prove this conjecture. This work also provides a robust framework applicable for studying convergence problems to the Borwnian net under more general set up.
This is a joint work with Partha Sarathi Ghosh.
I will try to present it as a metric space problem and the main idea should be accessible to undergraduate students with a course on metric and topological spaces.
We look forward to having you with us.
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