
David Steinsaltz
Aucune morale ni aucun effort ne sont a priori justifiables devant les sanglantes mathématiques qui ordonnent notre condition.
--Albert Camus
Probability Research:
Quasistationary distributions for diffusions
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David Steinsaltz and Steven Evans. "Quasistationary distributions for one-dimensional diffusions with killing." Transactions of the American Mathematical Society 359.3 (2007): 1285-1324.
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Martin Kolb and David Steinsaltz. "Quasilimiting behavior for one-dimensional diffusions with killing." Annals of Probability 40.1 (2012): 162-212.
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David Steinsaltz and Steven N. Evans. "Markov mortality models: implications of quasistationarity and varying initial distributions."
Theoretical Population Biology 65.4 (2004): 319-337.
Quasistationary Monte Carlo: On statistics page.
Mathematical evolutionary theory
See Biodemography page.
Random dynamical systems
Products of random matrices and Lyapunov exponents
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Fan Wang and David Steinsaltz. "Pollicott's Algorithm for Markovian Products of Positive Matrices."
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Fan Wang and David Steinsaltz. "On Transfer Operators for Markovian Products of Invertible Random Matrices."
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David Steinsaltz, Shripad Tuljapurkar, and Carol Horvitz. "Derivatives of the stochastic growth rate." Theoretical Population Biology 80.1 (2011): 1-15. (preprint)
Iterated function systems
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"Locally contractive iterated function systems."
Annals of Probability (1999): 1952-1979. -
"Random logistic maps and Lyapunov exponents."
Indagationes Mathematicae 12.4 (2001): 557-584. -
"Zeno's walk: A random walk with refinements."
Probability Theory and Related Fields 107.1 (1997): 99-121.
Stochastic flows
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Michael Scheutzow and David Steinsaltz. "Chasing balls through martingale fields." Annals of Probability 30.4 (2002): 2046-2080.
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Mike Cranston, Michael Scheutzow, and David Steinsaltz. "Linear bounds for stochastic dispersion." Annals of Probability 28.4 (2000): 1852-1869.
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Michael Cranston, Michael Scheutzow, and David Steinsaltz.
"Linear expansion of isotropic Brownian flows." Electronic Communications in Probability 4 (1999): 91-101.
