2 citations · 3 across the 3 of their papers we have counts for
6 papers
Near-critical SIR epidemic on a random graph with given degrees
Svante Janson, Malwina Luczak, Peter Windridge +1
Emergence of new diseases and elimination of existing diseases is a key public health issue. In mathematical models of epidemics, such phenomena involve the process of infections a…
The extinction time of a subcritical branching process related to the SIR epidemic on a random graph
Peter Windridge
This note gives an exponential tail approximation for the extinction time of a subcritical multitype branching process arising from the SIR epidemic model on a random graph with gi…
Law of large numbers for the SIR epidemic on a random graph with given degrees
Svante Janson, Malwina Luczak, Peter Windridge
We study the susceptible-infective-recovered (SIR) epidemic on a random graph chosen uniformly subject to having given vertex degrees. In this model infective vertices infect each…
Quantum Heisenberg models and their probabilistic representations
Christina Goldschmidt, Daniel Ueltschi, Peter Windridge
These notes give a mathematical introduction to two seemingly unrelated topics: (i) quantum spin systems and their cycle and loop representations, due to Tóth and Aizenman-Nachterg…
Minimizing the time to a decision
Saul Jacka, Jon Warren, Peter Windridge
Suppose we have three independent copies of a regular diffusion on with absorbing boundaries. Of these diffusions, either at least two are absorbed at the upper boundary or…
Some Examples of Dynamics for Gelfand Tsetlin Patterns
Jon Warren, Peter Windridge
We give examples of stochastic processes in the Gelfand Tsetlin cone in which each component evolves independently apart from a blocking and pushing interaction. The processes give…