Matching and Point Processes

Exercises

Notes

References

• Poisson Matching, A. E. Holroyd, R. Pemantle, Y. Peres & O. Schramm. Annales de l'Institut Henri Poincare, Probab. Stat., 45(1):266-287, 2009.
• Foundations of Modern Probability, Olav Kallenberg. 2nd Ed. (2002), Springer.
• College Admissions and the Stability of Marriage, D. Gale, L. S. Shapley. The American Mathematical Monthly, Vol. 69, No. 1. (1962), pp. 9-15.
• Descending chains, the lilypond model, and mutual nearest neighbour matching. D. J. Daley & G. Last. Adv. Apply Prob., 37, 604-628, 2005.
• Probability on Trees and Networks. by R. Lyons with Y. Peres.