Events in MathSys and Complexity Science
This is a calendar page detailing events within the MathSys CDT. It also acts as a booking diary for the Seminar Room D1.07. To book D1.07 please email Sheetal.Sharma@warwick.ac.uk
Please note that your event booking is for D1.07 only. The adjacent common room is a private area for the MathSys Centre that cannot used as part of your booking.
MathSys CDT events have priority for D1.07 room bookings.
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Complexity Forum: Martin Weigel (Coventry University)
Speaker: Martin Weigel (Coventry University)
Title: Fragmentation of fractal random structures
Abstract: We analyze the fragmentation behavior of random clusters in a lattice geometry under a process where bonds between neighboring sites are successively broken. Modeling such structures by configurations of a generalized Potts or random-cluster model allows us to discuss a wide range of systems with fractal properties including trees as well as dense clusters. We present exact results for the densities of fragmenting edges and the distribution of fragment sizes for critical clusters in two dimensions and discuss generalizations to the problem of vertex fragmentation. Dynamical fragmentation protocols lead to broad distributions of fragments, following power laws. Analytical results are complemented by extensive numerical simulations.