Branching Processes and Related Fields

The editors of this volume are faculty members in the Department of Mathematics at the University of Extremadura, Spain. They form a research group with a strong focus on the probabilistic and inferential aspects of branching processes, as well as their applications—particularly in Population Dynamics, Genetics, and Epidemiology. Their academic contributions include the supervision of numerous doctoral dissertations and the publication of a substantial body of research in the field. In addition to their research activities, they have organized six editions of the International Workshop on Branching Processes and Their Applications (IWBPA), and have participated in a wide range of national and international scientific meetings.

• Part I Markovian and non-Markovian branching trees.- 1 An introduction to Bienaym´e-Galton-Watson trees and their local limits.- 2 The longest branches in a non-Markovian phylogenetic tree.- 3 Limit theorems for autoregressive parameter on random trees.- Part II Branching processes in Biology, Genetics, and Epidemiology.- SIR epidemic models with short-lived mixing groups.- 4 A multitype Galton-Watson model for rejuvenating cells.- 5 Branching processes and bacterial growth.- Part III Multitype and infinite-type branching processes.- 6 Multitype Markov branching processes with nonhomogeneous immigration.- 7 A Note on the Dynamics of First Moments for an Infinite- 8 TypeBranching Process Model with Random Reproductive Rates.- Part IV Branching random walks.- 9.A semigroup approach to the study of branching random walks ona multidimensional lattice.-Part V Special branching models.- 10 Power-fractional distributions and branching processes.- 11 Coalescence in Two-Sex Branching Processes.- 12 Linear and uniform in time bound for the binary branching model with Moran type interactions.- Part VI Statistical inference in branching processes.- 13 Particle filtering methods for partially observed branching processes.