research
Coauthors
Chen, Zhen-Qing (2)
Öz, Mehmet (2)
Ribeiro, Rodrigo (2)
Simon, Peter L. (2)
Çağlar, Mine (1)
Harris, Simon C. (1)
Peres, Yuval (1)
Pete, Gábor (1)
Ren, Yanxia (1)
Rider, Brian C. (1)
Sieben, Nándor (1)
Song, Renming (1)
Székely, J. G. (1)
Wang, Zhenhua (1)
Winter, Anita (1)
Zhang, Liang (1)
Prof E. thinking (drawn by daughter, S. E.)
BOOKS
This book is in press now (April 2024):
JSBOOK.cover.pdfReviews of the first (Vol 20) World Scientific book:
"The book is well-written. I enjoyed reading it thanks both to the contents and the attractive style of presentation. The author has invested a lot of efforts to present highly nontrivial results in a clear and understandable way. Many assertions are followed by informal discussions intended to lead the reader into the core of problems." -- Zentralblatt MATH
"Overall, I would think the volume will make a useful addition to the libraries of either those working in the area of spatial branching processes or those looking to learn more about it."-- AMS Math Reviews
Comments and errata to the WS book: CLICK
The e-book format of the first WS book:
Articles Appeared or to appear
Engländer, János, Iacobelli, Giulio and Ribeiro, Rodrigo Tree builder random walk beyond uniform ellipticity, to appear in Ann. Inst. Henri Poincaré Probab. Stat.; see ArXiV preprint here: click
Burdzy, Krzysztof; Engländer, János The spine of the Fleming-Viot process driven by Brownian motion, Ann. Probab., 52 (3), 983-1015, (May 2024)
MR4497236 Prelim Engländer, János; Volkov, Stanislav Conservative random walk. Electron. J. Probab. 27 (2022).
MR4116709 Reviewed Chen, Zhen-Qing; Engländer, János Superdiffusions with super-exponential growth: construction, mass and spread. Ann. Inst. Henri Poincaré Probab. Stat. 56 (2020), no. 3, 1809–1840.
MR4064310 Reviewed Engländer, János A generalization of the submartingale property: maximal inequality and applications to various stochastic processes. J. Theoret. Probab. 33 (2020), no. 1, 506–521.
MR4053903 Reviewed Engländer, János; Volkov, Stanislav; Wang, Zhenhua The coin-turning walk and its scaling limit. Electron. J. Probab. 25 (2020), Paper No. 3, 38 pp.
MR4029143 Reviewed Öz, Mehmet; Engländer, János Optimal survival strategy for branching Brownian motion in a Poissonian trap field. Ann. Inst. Henri Poincaré Probab. Stat. 55 (2019), no. 4, 1890–1915.
MR4020698 Reviewed Engländer, János; Volkov, Stanislav Impatient random walk. J. Theoret. Probab. 32 (2019), no. 4, 2020–2043.
MR3803925 Reviewed Engländer, János; Volkov, Stanislav Turning a coin over instead of tossing it. J. Theoret. Probab. 31 (2018), no. 2, 1097–1118.
MR3663100 Reviewed Engländer, János; Peres, Yuval Survival asymptotics for branching random walks in IID environments. Electron. Commun. Probab. 22 (2017), Paper No. 29, 12 pp.
MR3634277 Reviewed Öz, Mehmet; Çağlar, Mine; Engländer, János Conditional speed of branching Brownian motion, skeleton decomposition and application to random obstacles. Ann. Inst. Henri Poincaré Probab. Stat. 53 (2017), no. 2, 842–864.
MR3580033 Reviewed Engländer, János; Zhang, Liang Branching diffusion with particle interactions. Electron. J. Probab. 21 (2016), Paper No. 67, 25 pp.
MR3449310 Reviewed Engländer, János; Ren, Yan-Xia; Song, Renming Weak extinction versus global exponential growth of total mass for superdiffusions. Ann. Inst. Henri Poincaré Probab. Stat. 52 (2016), no. 1, 448–482.
MR3362353 Reviewed Engländer, János Spatial branching in random environments and with interaction. Advanced Series on Statistical Science & Applied Probability, 20. World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2015.
MR3155295 Reviewed Advances in superprocesses and nonlinear PDEs. Papers from the conference held at the University of Colorado, Boulder, CO, June 24–26, 2010. Edited by Janos Englander and Brian Rider. Springer Proceedings in Mathematics & Statistics, 38. Springer, New York, 2013.
MR2819706 Reviewed Engländer, János; Sieben, Nándor Critical branching random walk in an IID environment. Monte Carlo Methods Appl. 17 (2011), no. 2, 169–193.
MR2738344 Reviewed Engländer, János The center of mass for spatial branching processes and an application for self-interaction. Electron. J. Probab. 15 (2010), no. 63, 1938–1970.
MR2641779 Reviewed Engländer, János; Harris, Simon C.; Kyprianou, Andreas E. Strong law of large numbers for branching diffusions. Ann. Inst. Henri Poincaré Probab. Stat. 46 (2010), no. 1, 279–298.
MR2500226 Reviewed Engländer, János Law of large numbers for superdiffusions: the non-ergodic case. Ann. Inst. Henri Poincaré Probab. Stat. 45 (2009), no. 1, 1–6.
MR2451055 Reviewed Engländer, János Quenched law of large numbers for branching Brownian motion in a random medium. Ann. Inst. Henri Poincaré Probab. Stat. 44 (2008), no. 3, 490–518.
MR2368953 Reviewed Engländer, János Branching diffusions, superdiffusions and random media. Probab. Surv. 4 (2007), 303–364.
MR2259973 Reviewed Engländer, János; Pinsky, Ross G. The compact support property for measure-valued processes. Ann. Inst. H. Poincaré Probab. Statist. 42 (2006), no. 5, 535–552.
MR2199796 Reviewed Engländer, János; Winter, Anita Law of large numbers for a class of superdiffusions. Ann. Inst. H. Poincaré Probab. Statist. 42 (2006), no. 2, 171–185.
MR2198922 Reviewed Engländer, János; Simon, Péter L. Nonexistence of solutions to KPP-type equations of dimension greater than or equal to one. Electron. J. Differential Equations 2006, No. 9, 6 pp.
MR2045481 Reviewed Engländer, János An example and a conjecture concerning scaling limits of superdiffusions. Statist. Probab. Lett. 66 (2004), no. 3, 363–368.
MR2045138 Reviewed Engländer, János Large deviations for the growth rate of the support of supercritical super-Brownian motion. Statist. Probab. Lett. 66 (2004), no. 4, 449–456.
MR2040776 Reviewed Engländer, János; Kyprianou, Andreas E. Local extinction versus local exponential growth for spatial branching processes. Ann. Probab. 32 (2004), no. 1A, 78–99.
MR2028219 Reviewed Engländer, J.; den Hollander, F. Survival asymptotics for branching Brownian motion in a Poissonian trap field. Markov Process. Related Fields 9 (2003), no. 3, 363–389.
MR1990846 Reviewed Engländer, János; Pinsky, Ross G. Uniqueness/nonuniqueness for nonnegative solutions of second-order parabolic equations of the form u_t=Lu+Vu−γu^p in R^n. J. Differential Equations 192 (2003), no. 2, 396–428.
MR1905855 Reviewed Engländer, János; Turaev, Dmitry A scaling limit theorem for a class of superdiffusions. Ann. Probab. 30 (2002), no. 2, 683–722.
MR1795992 Reviewed Engländer, János Criteria for the existence of positive solutions to the equation ρ(x)Δu=u^2 in R^d for all d≥1 — a new probabilistic approach. Positivity 4 (2000), no. 4, 327–337.
MR1767846 Reviewed Engländer, János On the volume of the supercritical super-Brownian sausage conditioned on survival. Stochastic Process. Appl. 88 (2000), no. 2, 225–243.
MR1761691 Reviewed Engländer, János; Fleischmann, Klaus Extinction properties of super-Brownian motions with additional spatially dependent mass production. Stochastic Process. Appl. 88 (2000), no. 1, 37–58.
MR1698955 Reviewed Engländer, János; Pinsky, Ross G. On the construction and support properties of measure-valued diffusions on D⊆R^d with spatially dependent branching. Ann. Probab. 27 (1999), no. 2, 684–730.
MR1553674 DML Ádám, A.; Magyar, Zoltán; Szántó, Á; Engländer, János; Book reviews. Period. Math. Hungar. 33 (1996), no. 1, 69–72.
MR1354042 Reviewed Engländer, János; Pinsky, Ross G. The asymptotic behavior of the principal eigenvalue for small perturbations of critical one-dimensional Schrödinger operators with V(x)=l±/x^2 for ±x≫1. J. Funct. Anal. 133 (1995), no. 2, 501–515.
MR1250469 Reviewed Engländer, J.; Székely, J. G. On the arithmetic of independent discrete distributions. Ann. Univ. Sci. Budapest. Eötvös Sect. Math. 36 (1993), 5–8.
Articles in preparation/submitted
The spine of the two-particle Fleming-Viot process in a bounded interval, (w. Burdzy, K. and Marshall, D. E.), submitted.
Structural results for the tree building random walk (w. G. Iacobelli, G. Pete and R. Ribeiro) submitted
2_spine.toEJP.Aug28.2023.pdfMiscellanous
A probabilistic investigation of the Martin boundary for certain elliptic operators in a strip. Technion-IIT, MSc Thesis
(w. Kyprianou, A. E.) Markov branching diffusions: martingales, Girsanov-type theorems and applications to the long term behaviour, (Preprint 1206, Department of Mathematics, Utrecht University, 2001, 39 pages.) Available electronically at http://www.math.uu.nl/publications
Problems in the Theory of Semilinear PDE's and their Connection to Probability. PDF
(w. Pinsky, Ross G.) Uniqueness/nonuniqueness for nonnegative solutions of a class of second-order parabolic equations. Equadiff 11 - CD, 2005 (Proceedings of Equadiff 11); electr. published here