Serik Sagitov
Head of the Division of Applied Mathematics and Statistics.
Research interests: branching processes, coalescent theory, population genetics, mathematical phylogenetics, stochastic demography.
Showing 66 publications
Galton–Watson Theta-Processes in a Varying Environment
Optimal preventive maintenance scheduling for wind turbines under condition monitoring
Optimal Maintenance Schedule for a Wind Power Turbine with Aging Components
Optimal preventive maintenance schedule for a wind turbine with aging components
Critical branching as a pure death process coming down from infinity
Critical Galton-Watson Processes with Overlapping Generations
Optimal scheduling of the next preventive maintenance activity for a wind farm
Perron-Frobenius theory for kernels and Crump-Mode-Jagers processes with macro-individuals
Nonparametric estimation for compound Poisson process via variational analysis on measures
Rank-dependent GaltonWatson processes and their pathwise duals
General linear-fractional branching processes with discrete time.
Limit Theorems for Pure Death Processes Coming Down From Infinity
Tail generating functions for extendable branching processes
Defective Galton-Watson processes
A special family of Galton-Watson processes with explosions
Limit theorems for pure death processes coming down from infinity.
Phylogenetic confidence intervals for the optimal trait value
Skeletons of near-critical Bienaymé-Galton-Watson branching processes
A consistent estimator of the evolutionary rate
Asymptotic results for the number of Wagner's solutions to a generalised birthday problem
Linear-fractional branching processes with countably many types
Time to a single hybridization event in a group of species with unknown ancestral history
Evolution of branching processes in a random environment
Extinction times for a birth-death process with weak competition
Evolutionary branching in a stochastic population model with discrete mutational steps
Decomposition of supercritical linear-fractional branching processes
A Decomposable Branching Process in a Markovian Environment
Linkage Disequilibrium Under Recurrent Bottlenecks
Interspecies correlation for neutrally evolving traits
Survival of branching processes in random environments
Stochasticity in the adaptive dynamics of evolution: the bare bones
Coalescent approximation for structured populations in a stationary random environment
The total branch length of sample genealogies in populations of variable size
Multitype Bienayme-Galton-Watson processes escaping extinction.
An accurate model for genetic hitchhiking
Reduced branching processes with very heavy tails
General branching processes in discrete time as random trees.
Multitype Galton-Watson processes escaping extinction
Transformations of Galton--Watson processes and linear fractional reproduction
The coalescent effective size of age-structured populations.
Reversed Galton-Watson processes in the linear fractional case
Convergence to the coalescent in populations of substantially varying size
Convergence to the coalescent in populations of substantially varying size.
The coalescent effective size of age-structured populations
Coalescent patterns in exchangeable diploid population models
Convergence to the coalescent in populations with stationary varying sizes
Convergence to the coalescent with simultaneous multiple mergers.
The age of a Galton-Watson population with geometric offspring distribution
A classification of coalescent processes for haploid exchangeable population models
The age of a Galton-Watson population with geometric offspring distribution
The growth of general population-size-dependent branching processes year by year
A classification of coalescent processes for haploid exchangeable population models
The general coalescent with asynchronous mergers of ancestral lines
Limit processes for age-dependent branching particle systems
Linear growth in the multi-type Galton-Watson process with density dependent reproduction
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Showing 6 research projects
Statistical sampling in machine learning
Statistical analysis for space-time data
Stochastically monotone Markov chains
New results for classical stochastic population models
Stochastic models of gene and species trees