Rinaldo B. Schinazi
Books:
Classical and Spatial Stochastic Processes. Birkhauser (second edition) (2014).
Probability with statistical applications, (second edition) Birkhauser (2012).
From Calculus to analysis. Birkhauser (2011).
Articles:
1. Approximations finies de la mesure invariante du processus de
contact sur-critique vu para la premiere particule (with A. Galves).
Probability Theory and Related Fields 83 (1989), 435-445.
2. Edge processes of one dimensional
stochastic growth models (with E. Andjel and R. Schonmann). Annales Institut
Henri Poincare 26, (1990) 489-506.
3. The critical contact process seen from
the right edge (with J.T. Cox and R. Durrett). Probability Theory and Related
Fields 87, (1991) 325-332.
4. Brownian fluctuations of the edge for critical reversible nearest-particle
systems. Annals of Probability 20, (1992), 194-205.
5. Branching random walks on trees (with N. Madras). Stochastic Processes and
Applications 42 (1992), 255-267.
6. On multiple phase transitions for branching Markov chains. Journal
of Statistical Physics 71 (1993), 521-525.
7. On the critical behavior of the
contact process in deterministic inhomogeneous environment (with N. Madras
and R. Schonmann). Annals of Probability, 22 (1994), 1140-1159.
8. The critical contact process on a homogeneous tree (with G. Morrow and Y.
Zhang). Journal of Applied Probability 31 (1994), 250-255.
9. Asymptotic critical value for a competition model (with R. Durrett).
Annals of Applied Probability, 3, (1993), 1047-1066.
10. The asymmetric contact process on a finite set. Journal
of Statistical Physics 74, (1994) 1005-1016.
11. Intermediate phase for the contact process on a tree (with R.Durrett).
The Annals of Probability 23 (1995) 668-673.
12. A complete convergence theorem for an epidemic model (with E.Andjel).
Journal of Applied Probability 33 (1996), 741-748.
13. On an interacting particle system modeling an epidemic. Journal of
Mathematical Biology 34 (1996), 915-925.
14. A contact process with a single inhomogeneous site.
Journal of Statistical Physics 83 (1996), 767-777.
15. A predator-prey and a host-parasite spatial stochastic models. Annals of
Applied Probability 7 (1997), 1-9.
16. Dependent random graphs and spatial epidemics (with J. van den Berg and G.
Grimmett). Annals of Applied Probability, 8 (1998), 317-337.
17. A stochastic spatial process to model the persistence of sickle-cell disease
(with J.T. Cox). Annals of applied Probability, 9, 1999, 319-330.
18. Strategies to control the genital herpes epidemic. Mathematical Biosciences,
159 (1999) 113-121.
19. Boundary modified contact processes (with R. Durrett).
Journal of Theoretical Probability, 13, 2000, 575-594.
20. On the spread of drug resistant diseases. Journal of Statistical Physics,
97, 1999, 409-417.
21. Horizontal versus vertical transmission of parasites in a
stochastic spatial model. Mathematical Biosciences, 19, 2000, 1-8.
22.
The probability of a cancer cluster due to chance alone. Statistics in
Medicine, 19, 2000, 2195-2198.
23. Balance between selection and mutation in a spatial stochastic model.
Markov processes and related fields, 7, 2001, 595-602.
24. On the importance of risky behavior in the transmission of sexually
transmitted diseases. Mathematical Biosciences, 173, 2001, 25-33.
25. On the role of social clusters in the transmission of infectious diseases.
Theoretical Population Biology, 61, 2002, 163-169.
26. On the role of reinfection in the transmission of infectious diseases. Journal of
Theoretical Biology, 225, 2003, 59-63.
27. Can HIV invade a population which is already sick? Bulletin of the Bazilian Mathematical Society, Bulletin of the Brazilian Mathematical Society, 34, 2003, 1-10.
28. Coexistence results for a spatial stochastic epidemic model (with Norio Konno and Hideki Tanemura). Markov processes and related fields, 10, 2004, 367-376.
29. Mass extinctions: an alternative to the Allee effect. Annals of Applied Probability, 15, 2005, 984-991.
30. A note on branching random walks on finite sets (with Tom Mountford). Journal of Applied Probability, 42, 2005, 287ñ294.
31. The probability of treatment induced drug resistance. Acta Biotheoretica, 54, 2006, 13-19
32. Chapter entitled "Interacting particle systems in population biology" in the book "Mathematical and computational methods in biology", A. Maass, A. Martinez, E.Pecou editors, (2006) Hermann, Paris.
33. Spatial and non spatial stochastic models for immune response (with Jason schweinsberg). To appear in Markov Processes and Related Fields.
34. A stochastic model for cancer risk. Genetics, 174 (2006), 545-547.
35. A contact process with mutations on a tree, with T.M. Liggett and J. Schweinsberg. Stochastic Processes and their applications 118 (2008), 319-332.
36. A spatial stochastic model for virus dynamics. Journal of Statistical Physics, 128 (2007), 771-779.
37. On the role of social aggregation in the extinction of a species. Progress in Probability 60 (2008), V. Sidoravicius and M.E. Vares Editors, Birkhauser.
38. Survival and existence for a multitype contact process, with J.T. Cox. Annals of probability 37 (2009), 853-876 .
39. A stochastic model for phylogenetic trees, with T. Liggett. Journal of Applied Probability 46 (2009), 601-607 .
40. Contact process in a wedge, with Ted Cox and Nevena Maric. Journal of Statistical Physics 139 (2010), 506-517.
41. Strength in numbers? Not always! Physica A 390 (2011) 1737-1740
42. A stochastic model of evolution, with Herve Guiol and Fabio Machado. Markov Processes Relat. Fields 17 (2011), 253-258
43. Modeling competition between two influenza strains. Advances in superprocesses and nonlinear PDE's, J. Englander and B. Rider editors (2013). Springer-Verlag.
44. A spatial stochastic model for rumor transmission (with Cristian F. Coletti, Pablo M. Rodriguez) Journal of statistical physics (2012), 147, 375-381.
45. Bacterial persistence: a winning strategy? (with Olivier Garet, Regine Marchand). Markov Processes and Related Fields 18 (2012), 639-650.
46. A Branching Process for Virus Survival (with J. Theodore Cox). Journal of Applied Probability 49 (2012), 888-894.
47. On a link between a species survival time in an evolution model and the Bessel distributions (with Herve Guiol and Fabio P. Machado) Brazilian Journal of Probability and Statistics 27 (2013), 201-209.
48. An inhomogeneous contact process model for speciation. Journal of Statistical Physics 151 (2013) 980-984.
49. A stochastic model for the evolution of the influenza virus (with J.T.Cox). Markov Processes and related fields 20 (2014) 155-166.
50. Waiting for the second mutation: an alternative to the Moran model. Physica A 401 (2014) 224-227.
51. Does random dispersion help survival? Journal of Statistical Physics (2015) 159:101–107.