Englander, Janos | CU Experts

Research

research overview

Dr. Englander's research concerns spatial branching particle systems and superprocesses, and their relationship to nonlinear partial differential equations. Special focus is on interactions and random environments. Furthermore, some non-classical random walks are studied.

keywords

Spatial branching processes, superprocesses, nonlinear partial differential equations, random environments, interacting particle systems, non-classical random walks

Publications

selected publications

book
- Spatial Branching in Random Environments and with Interaction 2015
- Advances in Superprocesses and Nonlinear PDEs 2013
journal article
- A Doob-type maximal inequality and its applications to various stochastic processes. Journal of Theoretical Probability. 2019
- Turning a Coin over Instead of Tossing It. Journal of Theoretical Probability. 1097-1118. 2018
- Optimal Survival Strategy for Branching Brownian Motion in a Poissonian Trap Field. Annales de lInstitut Henri Poincaré (B) Probabilités et Statistiques|. 2018
- Conditional speed of branching Brownian motion, skeleton decomposition and application to random obstacles. Annales de lInstitut Henri Poincaré (B) Probabilités et Statistiques|. 842-864. 2017
- Survival asymptotics for branching random walks in IID environments. Electronic Communications in Probability. 2017
- Weak extinction versus global exponential growth of total mass for superdiffusions. Annales de lInstitut Henri Poincaré (B) Probabilités et Statistiques|. 448-482. 2016
- Branching diffusion with particle interactions. Electronic Journal of Probability. 2016
- Critical branching random walk in an IID environment. Monte Carlo Methods and Applications. 2011
- The center of mass for spatial branching processes and an application for self-interaction. Electronic Journal of Probability. 1938-1970. 2010
- Strong Law of Large Numbers for branching diffusions. Annales de lInstitut Henri Poincaré (B) Probabilités et Statistiques|. 279-298. 2010
- The Center of Mass for Spatial Branching Processes and an Application for Self-Interaction. Electronic Journal of Probability. 1938-1970. 2010
- Law of large numbers for superdiffusions: The non-ergodic case. Annales de lInstitut Henri Poincaré (B) Probabilités et Statistiques|. 1-6. 2009
- Quenched law of large numbers for branching Brownian motion in a random medium. Annales de lInstitut Henri Poincaré (B) Probabilités et Statistiques|. 490-518. 2008
- Branching diffusions, superdiffusions and random media. Probability Surveys. 303-364. 2007
- The compact support property for measure-valued processes. Annales de lInstitut Henri Poincaré (B) Probabilités et Statistiques|. 535-552. 2006
- Law of large numbers for a class of superdiffusions. Annales de lInstitut Henri Poincaré (B) Probabilités et Statistiques|. 171-185. 2006
- Nonexistence of solutions to KPP-type equations of dimension greater than or equal to one. Electronic Journal of Differential Equations. No. 9-6 pp. (electronic). 2006
- Large deviations for the growth rate of the support of supercritical super-Brownian motion. Statistics and Probability Letters. 449-456. 2004
- An example and a conjecture concerning scaling limits of superdiffusions. Statistics and Probability Letters. 363-368. 2004
- Local extinction versus local exponential growth for spatial branching processes. Annals of Probability. 78-99. 2004
- Uniqueness/nonuniqueness for nonnegative solutions of second-order parabolic equations of the form ut=Lu+Vu−γup in Rn. Journal of Differential Equations. 396-428. 2003
- Survival asymptotics for branching Brownian motion in a Poissonian trap field. Markov Processes and Related Fields. 363-389. 2003
- A scaling limit theorem for a class of superdiffusions. Annals of Probability. 683-722. 2002
- On the volume of the supercritical super-Brownian sausage conditioned on survival. Stochastic Processes and their Applications. 225-243. 2000
- Extinction properties of super-Brownian motions with additional spatially dependent mass production. Stochastic Processes and their Applications. 37-58. 2000
- Criteria for the existence of positive solutions to the equation $ρ(x)Δ u=u^2$ in $bf R^d$ for all $dge1$—a new probabilistic approach. Positivity. 327-337. 2000
- On the Construction and Support Properties of Measure-Valued Diffusions on $D subseteq mathbb{R}^d$ with Spatially Dependent Branching. Annals of Probability. 684-730. 1999
- The Asymptotic Behavior of the Principal Eigenvalue for Small Perturbations of Critical One-Dimensional Schrödinger Operators with V(X) = l± /x2 for ±x ⪢ 1. Journal of Functional Analysis. 501-515. 1995
- On the arithmetic of independent discrete distributions. 5-8. 1993

Teaching

courses taught

MATH 4890 Honors Independent Study (Spring 2019)
MATH 4900 Independent Study (Spring 2019)
MATH 6900 Independent Study (Spring 2019)
MATH 6940 Master's Degree Candidate (Spring 2019)
MATH 6950 Master's Thesis (Spring 2019)
MATH 8900 Independent Study (Spring 2019)
MATH 8990 Doctoral Dissertation (Spring 2019)
MATH 4890 Honors Independent Study (Fall 2018)
MATH 4900 Independent Study (Fall 2018)
MATH 6900 Independent Study (Fall 2018)
MATH 6940 Master's Degree Candidate (Fall 2018)
MATH 6950 Master's Thesis (Fall 2018)
MATH 8900 Independent Study (Fall 2018)
MATH 8990 Doctoral Dissertation (Fall 2018)
APPM 4520 Introduction to Mathematical Statistics (Spring 2018)
APPM 5520 Introduction to Mathematical Statistics (Spring 2018)
MATH 4520 Introduction to Mathematical Statistics (Spring 2018)
MATH 4890 Honors Independent Study (Spring 2018)
MATH 4900 Independent Study (Spring 2018)
MATH 5520 Introduction to Mathematical Statistics (Spring 2018)
MATH 6550 Introduction to Stochastic Processes (Spring 2018)
MATH 6900 Independent Study (Spring 2018)
MATH 6940 Master's Degree Candidate (Spring 2018)
MATH 6950 Master's Thesis (Spring 2018)
MATH 8900 Independent Study (Spring 2018)
MATH 8990 Doctoral Dissertation (Spring 2018)

Background

education and training

Ph.D., Israel Instit of Tech (Israel) 1997
M.S., Israel Instit of Tech (Israel) 1993
B.S., Lorand Eotvos University, Budapest (Hungary) 1990

International Activities

global connections related to teaching and scholarly work (in recent years)

Americas Transnational Region
Europe Continent
Mexico Country
Sweden Country
Turkey Country

Other Profiles

CU Experts

Englander, Janos Associate Professor

Positions

Research Areas

Research

research overview

keywords

Publications

selected publications

book

journal article

Teaching

courses taught

Background

education and training

International Activities

global connections related to teaching and scholarly work (in recent years)

Other Profiles

ORCID iD

Google Scholar

ResearchGate