Iddo's Website

Research

My most recent research focus is on quasistationary distributions, both general theory and applications. The joint work with my former PhD student, Ningwei Jiang is the first work to classify and describe all QSDs for countable state-space Markov chains.

An \(*\) means that the co-author was an undergraduate student.

Publications & Preprints

  1. I.B., Ningwei Jiang: Representation and Characterization of Quasistationary Distributions for Markov Chains, arxiv:2402.11154

  2. I.B., Rinaldo Schinazi: Can a single migrant per generation rescue a dying population?, Advances in Applied Mathematics,

  3. I.B., Clayton Allard*, Shrikant Chand*, Van Hovenga*, Edith Lee*, Julia Shapiro*: Quasistationary Distribution for the Invasion Model on a Complete Bipartite Graph, Journal of Stochastic Analysis, 5 (1) Article 2

  4. I.B., Rinaldo Scinazi: Self-similarity in an exchangeable site-dynamics model, Journal of Statistical Physics, 188 Article 17 (2022)

  5. I.B., Mason DiCicco*: Greedy Coupling of 3-State Markov Chains, arxiv:

  6. I.B., SangJoon Lee: Quasi-Limiting Behavior of Drifted Brownian Motion, ALEA, Lat. Am. J. Probab. Math. Stat., 19 813–838 (2022)

  7. I.B., Hugo Panzo, Philip Speegle*, Oliver Vandenberg*: Quasistationary Distributions for the Voter Model on Complete Bipartite Graphs, ALEA, Lat. Am. J. Probab. Math. Stat., 18 421–437 (2021)

  8. I.B., Jonah Green*, Taylor Meredith*, Hugo Panzo, Xioran Tan*: Finite-Memory Elephant Random Walk and the Central Limit Theorem for Additive Functionals, Braz. J. Probab. Stat., 35 (2) 242–262 (2021)

  9. I.B., Carter Bedsole*, Grace O’Neil*: Power-Law Tails in a Fitness-Driven Model for Biological Evolution, Submitted,

  10. I.B., Behrang Forghani: On Transformations of Markov Chains and Poisson Boundary, Trans. Amer. Math. Soc., 373 2207–2227 (2020)

  11. I.B., Alexander Roitershtein, Rinaldo Schinazi: A Random Walk with Catastrophes, Elec. J. of Probability, 24 (28) 1–21 (2019)

  12. I.B., Roger Silva: On a Local Version of the Bak-Sneppen Model, Journal of Statistical Physics, 173 (2) 362–380 (2018)

  13. I.B., Hugo Panzo: On the Subcritical Phase for a Homopolymer Model, Communications on Stochastic Analysis, 11 (4) 425–456 (2017)

  14. I.B., Rinaldo Schinazi: A Stochastic Model for the Evolution of a Quasispecies, Journal of Statistical Physics, 162 (2) 415–425

  15. I.B., Steven J. Miller: A Probabilistic Approach to Generalized Zeckendorf Decompositions, SIAM J. Discrete Math, 30 (2) 1302–1332 (2016)

  16. I.B., Steven J. Miller: The Distribution of Gaps between Summands in Generalized Zeckendorf Decompositions, Journal of Combinatorial Theory, Series A, 135 130–160 (2015)

  17. I.B., Hugo Panzo, Elizabeth Tripp*: Efficient Coupling for Random Walk with Redistribution, arxiv:1410.8234

  18. I.B.: On Independence and Determination of Probability Measures, Journal of Theoretical Probability, 28 (3) 968–975

  19. I.B.: Coupling for Drifted Brownian Motion on an Interval with Redistribution from the Boundary, Electronic Communications in Probability, 19 (16) 1–11

  20. I.B., Diana Hay, Alexander Roitershtein: On Wallis-type products and Polya’s urn schemes, American Mathematical Monthly, 121 (5) 422–432

  21. I.B., Keith Conrad: Maclaurin’s Inequality and a Generalized Bernoulli Inequality, Mathematics Magazine, 87 (1) 14–24

  22. I.B.: An Empirical Process Interpretation of a Model of Species Survival, Stochastic Process. Appl., 123 475–489 (2013)

  23. I.B.: Principal Eigenvalue for Brownian Motion on a Bounded Interval with Degenerate Instantaneous Jumps, Electronic Journal of Probability, 17 (87) 1–13 (2012)

  24. I.B., Michael Neumann: Probabilistic Approach to Perron Root, the Group Inverse, and Applications, Linear and Multilinear Algebra, 60 (1) 39–63 (2012)

  25. I.B., Michael Neumann, Olga Pryporova: Inequalities for Functions of Transition Matrices, Linear Algebra and its Applications, 436 (2) 335–348 (2012)

  26. I.B., Anastasios Matzavinos, Alexander Roitershtein: On a species survival model, Electronic Communications in Probability, 16 226–233 (2011)

  27. I.B., Khalid Boushaba, Anastasios Matzavinos, Alexander Roitershtein: Stochastic Analysis of the Motion of DNA Nanomechanical Bipeds, Bulletin of Mathematical Biology, 73 (8) 1931–1951 (2011)

  28. I.B., Mathieu Merle, Alexander Roitershtein: A random walk on Z with drift driven by its occupation time at zero, Stochastic Process. Appl., 119 (8) 2682–2710 (2009)

  29. I.B.: Large Deviations For Partition Functions of Directed Polymers in an IID Field, Annales de L’Institut Henri Poincare, 45 (3) 770–792 (2009)

  30. I.B., Ross Pinsky: Ergodic behavior of diffusions with random jumps from the boundary, Stochastic Process. Appl., 119 (3) 864–881 (2009)

  31. I.B.: The Asymptotic Shift for the Principal Eigenvalue for Second Order Elliptic Operators on Bounded Domains under Various Boundary Conditions in the Presence of Small Obstacles, Israel Journal of Mathematics, 169 (2) 181–220 (2009)

  32. I.B., Ross Pinsky: Spectral analysis of a family of second-order elliptic operators with nonlocal boundary condition indexed by a probability measure, Journal of Functional Analysis, 251 (1) 122–140 (2007)

Selected Presentations

Characterization of Quasi-stationary Distributions, poster at Stochastic Processes and their Applications, Lisbon (July 2023)

Quasi-Stationary Distributions: Existence, Uniqueness and Characterization, talk at University of Colorado, Colorado Springs (March 2023)

Quasi-Stationary Distributions for the Voter and Invasion Dynamics on Complete Bipartite Graphs, talk at Symposium on Stochastic Hybrid Systems and Applications, UConn (November 2021), Utah/Arizona Probability Seminar (March 2021)

On Convergence of Random Series, talk at UConn Math Club (February 2020)

A survey of fitness-based models for biological evolution, talk at University of Rochester Probability Seminar (February 2018)